Confidence Interval for Mean Population Standard Deviation: Question: Suppose scores of a standardized test are normally distributed and have a known population standard deviation of 11 points and an unknown population mean. A random sample of 15 scores is taken and gives a sample mean of 101 points. Find the confidence interval for the population mean with a 98% confidence level.

z0.10 z0.05 z0.02 z0.01 z0.00

5 5

1.28 1.64 1.96 2.32 2.57

2 5 0 6 6

You may use a calculator or the common z values above.

Round the final answer to two decimal places.

Question

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Suppose the weights, in pounds, of the dogs in a city are normally distributed. If the population standard deviation is 3 pounds, what minimum sample size is needed to be 95% confident that the sample mean is within 1 pound of the true population mean? z0.101.282z0.051.645z0.0251.960z0.012.326z0.0052.576 Use the table above for the z-score and be sure to round up to the nearest integer.

Question

Suppose the number of dollars spent per week on groceries is normally distributed. If the population standard deviation is 7 dollars, what minimum sample size is needed to be 90% confident that the sample mean is within 3 dollars of the true population mean? z0.101.282z0.051.645z0.0251.960z0.012.326z0.0052.576 Use the table above for the z-score and be sure to round up to the nearest integer.

Question

School B was interested in finding the population mean of Spanish exam scores across its district. The scores were normally distributed. Based on previous years’ data, the standard deviation was found to be 5 points. The school took a random sample of 25 scores and found the sample mean to be 30. Find a 90% confidence interval estimate for the population mean of Spanish exam scores using the following table and round your answer to four significant figures.

z0.1 z0.0 z0.0 z0.0 z0.0

0 5 25 1 05

1.28 1.64 1.96 2.32 2.57

2 5 0 6 6

Question

The owner of a factory wants to determine a confidence interval for the average wages at his factory. The population’s average wages are unknown. However, the owner was able to take a random sample of 64 workers. He found that the average salary for this sample of workers is $50,000. The population standard deviation is $3000. He calculated a 99% confidence interval for the population average wages at the factory. Which of the following choices is correct? Assume the distribution of wages is normally distributed.

z0.10 z0.05 z 5 0.02 z0.01 z 5 0.00

1.28 1.64 1.96 2.32 2.57

2 5 0 6 6

Question

The germination periods, in days, for grass seeds are normally distributed with a population standard deviation of 5 days and an unknown population mean. If a random sample of 17 types of grass seed is taken and results in a sample mean of 52 days, find an 80% confidence interval for the population mean.

z0.10 z0.05 z0.02 z0.01 z0.00

5 5

1.28 1.64 1.96 2.32 2.57

2 5 0 6 6

You may use a calculator or the common z values above.

Question

Noble College was interested in finding the population mean of English exam scores in the city. The scores were normally distributed. Based on previous years’ data, the standard deviation was found to be 6 points. The college took a random sample of 36 scores and found the sample mean to be 30. Which of the following statements is correct if the college calculated a confidence interval at the 95% confidence level for this population means?

z0.1 z0.0 z0.0 z0.0 z0.0

0 5 25 1 05

1.28 1.64 1.96 2.32 2.57

2 5 0 6 6

Question

The length, in words, of the essays written for a contest, is normally distributed with a population standard deviation of 442 words and an unknown population mean. If a random sample of 24 essays is taken and results in a sample mean of 1330 words, find a 99% confidence interval for the population mean.

z0.10 z0.05 z0.02 z0.01 z0.00

5 5

1.28 1.64 1.96 2.32 2.57

2 5 0 6 6

You may use a calculator or the common z values above.

Round the final answer to two decimal places.

Question

In a recent questionnaire about food, a random sample of 970 adults was asked about whether they prefer eating fruits or vegetables, and 458 reported that they preferred eating vegetables. What value of z should be used to calculate a confidence interval with a 95% confidence level?

z0.10 z0.05 z0.02 z0.01 z0.00

5 5

1.28 1.64 1.96 2.32 2.57

2 5 0 6 6

Question

Suppose weights of running shoes are normally distributed and have a known population standard deviation of 4 ounces and an unknown population mean. A random sample of 16 running shoes are taken and gives a sample mean of 8 ounces. Find the error bound (EBM) of the confidence interval with a 80% confidence level.

z0.10 z0.05 z0.02 z0.01 z0.00

5 5

1.28 1.64 1.96 2.32 2.57

2 5 0 6 6

Question

Suppose a number of hours employees work in a week at a company is normally distributed with an unknown population means and a population standard deviation of 2 hours. A random sample of 65 employees’ weekly hours is taken. These gave a sample mean time of 39 hours. Find the error bound (EBM) of the confidence interval with a 95% confidence level.

Question

You are interested to calculate a confidence interval for a population mean. You have available data for the sample mean, the population standard deviation, and

the sample size. You intend to calculate a 80% confidence interval. Which value of confidence coefficient should be used for an 80% confidence interval?

Note: Refer to the table below:

Question

Suppose finishing times for cyclists in a race are normally distributed and have a known population standard deviation of 16 minutes and an unknown population mean. A random sample of 25 cyclists is taken and gives a sample mean of 134 minutes. Find the error bound (EBM) of the confidence interval with an 80% confidence level.

z0.10 z0.05 z0.02 z0.01 z0.00

5 5

1.28 1.64 1.96 2.32 2.57

2 5 0 6 6

Question

In a recent survey, a random sample of 941 astronomers was asked about whether they believe aliens are real, and 361 reported that they believe aliens exist. What value of z should be used to calculate a confidence interval with an 80%

confidence level?

z0.10 z0.05 z0.02 z0.01 z0.00

5 5

1.28 1.64 1.96 2.32 2.57

2 5 0 6 6

Question

The population means of a set of data is unknown. The sample mean is 22, and the error bound for the mean is 10, at a 68% confidence level. (So, x¯=22 and EBM = 10.) Find and interpret the confidence interval estimate.

Question

The population means of a set of data is unknown. The sample mean is 29, and the error bound for the mean is 4, at a 68% confidence level. (So, x¯=29 and EBM = 4.) Find and interpret the confidence interval estimate.

15, and the error bound for the

Question

Calculate an approximate 95% confidence interval for the population mean salary for engineers, based on the following sample data: From a sample of 100 engineers, the sample mean salary is $68,000. Assume the population standard deviation is $4000. Enter your answer in the format (lower , upper) where "lower" is the lower confidence limit and "upper" is the upper confidence limit. Round your answers to the nearest integer. Do not include the dollar sign in your answers.

Question

The population means of a set of data is unknown. The sample mean is mean is 7, at a 68% confidence level. (So, x¯=15 and EBM = 7.) Find and

interpret the confidence interval estimate.

Question

A researcher is trying to estimate the population mean for a certain set of data. The sample mean is 41, and the error bound for the mean is 10, at a 68% confidence level. (So, x¯=41 and EBM = 10.) Find and interpret the confidence interval estimate.

Question

A sample of 64 collegiate baseball players produced a sample mean of 65 runs scored in the most recent season with a sample standard deviation of 13 runs scored.

The researchers who took the sample assumed the distribution of runs scored is normally distributed and used the empirical rule to construct the confidence interval (61.75,68.25). What was the confidence level they used? Round your answer to the nearest integer. Do not include the percent symbol.

Question

A normal distribution is observed from the number of points per game for a certain basketball player. If the mean is 16 points and the standard deviation is 2 points,

what is the probability that in a randomly selected game, the player scored between 12 and 20 points? Use the empirical rule

Provide the final answer as a percent.

Question

Ms. Wilson's statistics test scores are normally distributed with a mean score of 72 (μ) and a standard deviation of 3 (σ). Using the Empirical Rule, about 68% of the scores lie between which two values?

Question

Mr. Karly's math test scores are normally distributed with a mean score of 87 (μ) and a standard deviation of 4 (σ). Using the Empirical Rule, about 99.7% of the data values lie between which two values?

Question

In 2014, the CDC estimated that the mean height for adult women in the U.S. was 64 inches with a standard deviation of 4 inches. Suppose X , height in inches of adult women, follows a normal distribution. Which of the following gives the probability that a randomly selected woman has a height of greater than 68 inches?

Question

Mrs. Miller's science test scores are normally distributed with a mean score of 77 (μ) and a standard deviation of 3 (σ). Using the Empirical Rule, about 68% of the scores lie between which two values?

Question

Ms. Wilson's science test scores are normally distributed with a mean score of 84 (μ) and a standard deviation of 3 (σ). Using the Empirical Rule, about 99.7% of the scores lie between which two values?

Question

Write "eight thousandths" as a decimal.

Question

Write "eleven and seven hundred seven-ten-thousandths" as a decimal.

Question

Write " seven hundred fifty-three thousandths" as a decimal.

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Mrs. Miller's statistics test scores are normally distributed with a mean score of 85 (μ) and a standard deviation of 5 (σ). Using the Empirical Rule, about 95% of the scores lie between which two values?

Question

The times to complete an obstacle course is normally distributed with a mean 73 seconds and standard deviation 9 seconds. What is the probability of using the Empirical Rule that a randomly selected finishing time is less than 100 seconds? Provide the final answer as a percent rounded to two decimal places.

Question

The College Board conducted research studies to estimate the mean SAT score in 2016 and its standard deviation. The estimated mean was 1020 points out of 1600 possible points, and the estimated standard deviation was 192 points. Assume SAT scores follow a normal distribution. Using the Empirical Rule, about 95% of the scores lie between which two values?

Question

A normal distribution is observed from the number of points per game for a certain basketball player. The mean for this distribution is 20 points and the standard deviation is 3 points. Use the empirical rule for normal distributions to estimate the probability that in a randomly selected game the player scored less than 26 points. Provide the final answer as a percent rounded to one decimal place.

Question

After collecting the data, Douglas finds that the finishing times for cyclists in a race is normally distributed with mean of 149 minutes and a standard deviation of 16 minutes. What is the probability that a randomly selected race participant had a finishing time of less than 165 minutes? Use the empirical rule Provide the final answer as a percent.

Question

The population means of a set of data is unknown. The sample mean is 44, and the error bound for the mean is 10, at a 68% confidence level. (So, x¯=44 and EBM = 10.) Find and interpret the confidence interval estimate.

Question

A researcher is trying to estimate the population mean for a certain set of data. The sample mean is 45, and the error bound for the mean is 9, at a 99.7% confidence level. (So, x¯=45 and EBM = 9.) Find and interpret the confidence interval estimate.

Question

Kate took a sample of 196 fashion accessories from her large collection and found that the sample mean price is $300. She knows that the population standard deviation is $28. Kate is _____% confident that the true population mean price of her fashion accessories is between $298 and $302. Assume the distribution of prices is normally distributed. Do not include a percentage symbols in your answer. 47, and the error bound for the

Question

The population means of a set of data is unknown. The sample mean is 30, and the error bound for the mean is 6, at a 68% confidence level. (So, x¯=30 and EBM = 6.) Find and interpret the confidence interval estimate.

Question

A survey of 144 companies asked about the percentage of female members of the board of directors. The sample mean was 42% with a sample standard deviation of 8.1%. The researchers that conducted the survey assumed the distribution of percentages is normally distributed and used the empirical rule to construct the confidence interval (40.65%,43.35%). What was the confidence level they used? Round your answer to the nearest integer. Do not include the percent symbol. Provide your answer below:

Question

The population means of a set of data is unknown. The sample mean is mean is 4, at a 95% confidence level. (So, x¯=47 and EBM = 4.) Find and interpret the confidence interval estimate.

Question

Brenda has collected data to find that the finishing times for cyclists in a race have a normal distribution. What is the probability that a randomly selected race participant had a finishing time of greater than 154 minutes if the mean is 143 minutes and the standard deviation is 11 minutes? Use the empirical rule. Provide the final answer as a percent.

Question

After collecting the data, Tammy finds that the total snowfall per year in Linndale is normally distributed with mean 99 inches and standard deviation 13 inches. What is the probability that in a randomly selected year, the snowfall was greater than 112 inches? Use the empirical rule. Provide the final answer as a percent.

Question

An advertiser was about to launch an advertising campaign for a new product. He conducted a random survey to find the preference for the new product among the respondents. Based on his previous experience, he found the standard deviation for the population as 4. Because the population mean was not known to him, he randomly selected 25 responses and found that the sample mean preference for the new product was 10. Which of the following parameters did he use to calculate a confidence interval at the 95% confidence level for this population means?

z0.1 z0.0 z0.0 z0.0 z0.0

0 5 25 1 05

1.28 1.64 1.96 2.32 2.57

2 5 0 6 6

Question

Suppose heights of dogs, in inches, in a city are normally distributed and have a known population standard deviation of 7 inches and an unknown population means. A random sample of 15 dogs is taken and gives a sample mean of 34 inches. Find the confidence interval for the population means with a 99% confidence level.

z0.10 z0.05 z0.02 z0.01 z0.00

5 5

1.28 1.64 1.96 2.32 2.57

2 5 0 6 6

You may use a calculator or the common z values above.

Round the final answer to two decimal places.

Question

The weights, in pounds, of dogs in a city are normally distributed with a population standard deviation of 2 pounds and an unknown population mean. A random sample of 16 dogs is taken and results in a sample mean of 28 pounds. Identify the parameters needed to calculate a confidence interval at the 90% confidence level. Then find the confidence interval.

z0.10z z0.05z z0.025z0 z0.01z z0.005z0

0.10 0.05 .025 0.01 .005

1.282 1.645 1.960 2.326 2.576

You may use a calculator or the common z values above.

Round the final answer to two decimal places.

Question

The weights, in pounds, of dogs in a city are normally distributed with a population standard deviation of 2 pounds and an unknown population mean. A random sample of 16 dogs is taken and results in a sample mean of 28 pounds. What is the correct interpretation of the confidence interval?

Question

Suppose scores of a standardized test are normally distributed and have a known population standard deviation of 6 points and an unknown population mean. A

random sample of 22 scores is taken and gives a sample mean of 92 points. Identify the parameters needed to calculate a confidence interval at the 98% confidence level. Then find the confidence interval.

z0.10 z0.05 z0.02 z0.01 z0.00

1.28 1.64 5 2.32 5

1.96 2.57

2 5 0 6 6

You may use a calculator or the common z values above.

Round the final answer to two decimal places, if necessary.

Question

Suppose scores of a standardized test are normally distributed and have a known population standard deviation of 6 points and an unknown population mean. A random sample of 22 scores is taken and gives a sample mean of 92 points. What is the correct interpretation of the 98% confidence interval?

Question

Suppose heights of seasonal pine saplings are normally distributed and have a known population standard deviation of 17 millimeters and an unknown population mean. A random sample of 15 saplings is taken and gives a sample mean of 308 millimeters. Find the confidence interval for the population means with a 90% confidence level.

z0.10z z0.05z z0.025z0 z0.01z z0.005z0

0.10 0.05 .025 0.01 .005

1.282 1.645 1.960 2.326 2.576

You may use a calculator or the common z values above.

Round the final answer to two decimal places.

Question

The lengths, in inches, of adult corn snakes, are normally distributed with a population standard deviation of 6 inches and an unknown population mean. If a random sample of 18 snakes is taken and results in a sample mean of 61 inches, find the error bound (EBM) of the confidence interval with a 90% confidence level.

z0.10 z0.05 z0.02 z0.01 z0.00

5 5

1.28 1.64 1.96 2.32 2.57

2 5 0 6 6

Question

Suppose weights, in pounds, of dogs in a city are normally distributed and have a known population standard deviation of 5 pounds and an unknown population mean. A random sample of 18 dogs is taken and gives a sample mean of 20 pounds. Find the error bound (EBM) of the confidence interval with a 90% confidence level.

z0.10 z0.05 z0.02 z0.01 z0.00

5 5

1.28 1.64 1.96 2.32 2.57

2 5 0 6 6

Question

The germination periods, in days, for grass seeds are normally distributed with a population standard deviation of 7 days and an unknown population mean. If a random sample of 17 types of grass seed is taken and results in a sample mean of 37 days, find the error bound (EBM) of the confidence interval with a 98% confidence level.

z0.10 z0.05 z0.02 z0.01 z0.00

5 5

1.28 1.64 1.96 2.32 2.57

2 5 0 6 6

Question

Suppose speeds of vehicles traveling on a highway are normally distributed and have a known population standard deviation of 4 miles per hour and an unknown population mean. A random sample of 16 vehicles is taken and gives a sample mean of 68 miles per hour. Find the error bound (EBM) of the confidence interval with a 98% confidence level.

z0.10 z0.05 z0.02 z0.01 z0.00

5 5

1.28 1.64 1.96 2.32 2.57

2 5 0 6 6

Question

Suppose the number of defects in a sweater from a population of sweaters produced from a textile factory is normally distributed with an unknown population mean and a population standard deviation of 0.06 defects. A random sample of sweaters from the population produces a sample mean of x¯=1.3 defects. What value of z should be used to calculate a confidence interval with a 95% confidence level?

z0.10 z0.05 z0.02 z0.01 z0.00

5 5

1.28 1.64 1.96 2.32 2.57

2 5 0 6 6

Question

Write " six and forty-two ten-thousandths" as a decimal.

Question

Write "forty-one hundredths" as a decimal.

Question

Name the decimal: 0.512

Question

Calculate an approximate 68% confidence interval for the population mean GPA based on the following sample data: From a sample of 121 students, the sample mean GPA is 2.34. Assume the population standard deviation is 0.22. Assume the distribution of GPAs is normally distributed. Enter your answer as on ordered pair in the form (lower, upper) where "lower" is the lower confidence limit and "upper" is the upper confidence limit. Round each numerical input to two decimal places.

Question

A researcher is trying to estimate the population mean for a certain set of and the error bound for the mean is 8, at a 95% confidence level. (So, and interpret the confidence interval estimate. data. The sample mean is 46, x¯=46 and EBM = 8.) Find

Question

The population means of a set of data is unknown. The sample mean is 18, and the error bound for the mean is 10, at a 95% confidence level. (So, x¯=18 and EBM = 10.) Find and interpret the confidence interval estimate.

Question

Calculate an approximate 99.7% confidence interval for the population mean age for government employee interns based on the following sample data:

From a sample of 35 government employee interns, the sample mean age is 26.1 years. Assume the population standard deviation is 5.8 years. Assume the distribution of ages is normally distributed. Enter your answer in the format (lower, upper) where "lower" is the lower confidence limit and "upper" is the upper confidence limit. Round your answers to two decimal places. Do not include units in your answers.

Question

A builder calculated an approximate 99.7% confidence interval for the population mean price for houses, based on the following sample data: From a sample of 1600 houses, the sample mean price is $300,000. Assume the population standard deviation is $11,726. What is the confidence interval? Assume the distribution of home prices is normally distributed. Enter your answer in the format (lower,upper) where "lower" is the lower confidence limit and "upper" is the upper confidence limit. Round each numerical input to the nearest integer. Do not include the dollar sign(s) in your answer.

Question

The typing speeds for the students in a typing class are normally distributed with mean of 44 words per minute and standard deviation of 6 words per minute. What is the probability that a randomly selected student has a typing speed of fewer than 38 words per minute? Use the empirical rule Provide the final answer as a percent. If necessary round the percent to the nearest whole number.

Question

The number of pages per book on a bookshelf is normally distributed with mean of 248 pages and standard deviation of 21 pages. Using the empirical rule, what is the probability that a randomly selected book has less than 206 pages? Provide the final answer as a percent rounded to one decimal place.

Question

The times to complete an obstacle course are normally distributed with a mean 87 seconds and standard deviation of 7 seconds. What is the probability that a randomly selected finishing time is greater than 80 seconds? Use the empirical rule Provide the final answer as a percent.

Question

The number of pages per book on a bookshelf is normally distributed with a mean of 189 pages and standard deviation of 20 pages. What is the probability that a randomly selected book has greater than 229 pages? Use the empirical rule Provide the final answer as a percent rounded to one decimal place.

Question

The population means of a set of data is unknown. The sample mean is 18, and the error bound for the mean is 9, at a 99.7% confidence level. (So, x¯=18 and EBM = 9.) Find and interpret the confidence interval estimate.

Question

Calculate an approximate 95% confidence interval for the population mean weight of newborn babies, based on the following sample data: From a sample of 25 newborn babies at a hospital, the sample mean weight is 8.5 pounds. Assume the population standard deviation is 0.3 pounds. Assume the distribution of weights is normally distributed. Enter your answer in the format (lower, upper) where "lower" is the lower confidence limit and "upper" is the upper confidence limit. Round each numerical input to two decimal places.

Question

The mean time taken to deliver pizza among 225 orders is 98 minutes. Assume that the times to deliver pizza are normally distributed and that the population standard deviation is 15 minutes. The interval (96,100) is a _____ confidence interval. Assume the distribution of delivery times is normally distributed. Do not include a percentage symbols in your answer.

Question

A researcher is trying to estimate the population mean for a certain set of and the error bound for the mean is 7, at a 68% confidence level. (So, and interpret the confidence interval estimate. data. The sample mean is 20, x¯=20 and EBM = 7.) Find

Question

A sample of 81 redwood trees in a forest produced a sample mean height of 128 feet with a sample standard deviation of 20.7 feet. The researchers who took the sample assumed the distribution of heights is normally distributed and used the empirical rule to construct the confidence interval (125.7,130.3). What was the confidence level they used? Round your answer to the nearest integer. Do not include the percent symbol.

Question

A normal distribution is observed from the number of points per game for a certain basketball player. If the mean is 15 points and the standard deviation is 3 points, what is the probability that in a randomly selected game, the player scored greater than 24 points? Use the empirical rule Provide the final answer as a percent rounded to two decimal places.

Question

Henry has collected data to find that the typing speeds of the students in a typing class have a normal distribution. What is the probability that a randomly selected student has a typing speed of fewer than 51 words per minute if the mean is 47 words per minute and the standard deviation is 4 words per minute? Use the empirical rule. Provide the final answer as a percent.

Question

A survey of 36 college students asked about the amount of time they had spent playing a certain video game. The sample mean was 41.4 hours with a sample standard deviation of 8.2 hours. The researchers who conducted the survey assumed the distribution of times is normally distributed and used the empirical rule to construct the confidence interval (37.3,45.5). What was the confidence level they used? Round your answer to one decimal place. Do not include the percent symbol.

Question

The population means of a set of data is unknown. The sample mean is 30, and the error bound for the mean is 6, at a 68% confidence level. (So, x¯=30 and EBM = 6.) Find and interpret the confidence interval estimate.

Question

A survey of 25 colleges asked about the percentage of Latin students in the student population. The sample mean was 11.4% with a sample standard deviation of 1.1%. The researchers who conducted the survey assumed the distribution of percentages is normally distributed and used the empirical rule to construct the confidence interval (10.74%,12.06%). What was the confidence level they used? Round your answer to one decimal place. Do not include the percent symbol.

Question

Use the Empirical Rule to calculate an approximate 68% confidence interval for the population means meal cost based on the following sample data: From a sample of 100 restaurant meals, the sample mean price is $12.14. Assume the distribution of meals is normally distributed and the population standard deviation is $1.97. Enter your answer in the format (lower, upper) where "lower" is the lower confidence limit and "upper" is the upper confidence limit. Round each numerical input to three decimal places.

Question

Calculate an approximate 68% confidence interval for the population mean ticket price based on the following sample data: From a sample of 40 people, the sample means price for a concert ticket is $35.73. Assume the population standard deviation is $8.12. Assume the distribution of attendances is normally distributed. Enter your answer in the format (lower, upper) where "lower" is the lower confidence limit and "upper" is the upper confidence limit. Round your answers to two decimal places. Do not include the dollar signs.

Question

Suppose heights, in inches, of orangutans, are normally distributed and have a known population standard deviation of 4 inches and an unknown population mean. A random sample of 16 orangutans is taken and gives a sample mean of 56 inches. Find the confidence interval for the population means with a 95% confidence level.

z0.10 z0.05 z0.02 z0.01 z0.00

5 5

1.28 1.64 1.96 2.32 2.57

2 5 0 6 6

You may use a calculator or the common z values above.

Round the final answer to two decimal places.

Question

The owner of a factory wants to determine a confidence interval for the average wages at his factory. The population’s average wages are unknown. However, the owner was able to take a random sample of 625 workers. He found that the average salary for this sample of workers is $50,000. The population standard deviation is $500. He calculated a 80% confidence interval for the population average wages at the factory. Which of the following choices is correct? Round your answer to the nearest dollar.

z0.10 z0.05 z 5 0.02 z0.01 z 5 0.00

1.28 1.64 1.96 2.32 2.57

2 5 0 6 6

Question

Suppose weights, in pounds, of dogs in a city are normally distributed and have a known population standard deviation of 5 pounds and an unknown population mean. A random sample of 17 dogs is taken and gives a sample mean of 30 pounds. Find the confidence interval for the population means with an 80% confidence level.

z0.10 z0.05 z0.02 z0.01 z0.00

5 5

1.28 1.64 1.96 2.32 2.57

2 5 0 6 6

You may use a calculator or the common z values above.

Round the final answer to two decimal places.

Question

The lengths, in inches, of adult corn snakes, are normally distributed within a population standard deviation of 4 inches and an unknown population mean. If a random sample of 19 snakes is taken and results in a sample mean of 55 inches, finding a 98% confidence interval for the population mean.

z0.10 z0.05 z0.02 z0.01 z0.00

5 5

1.28 1.64 1.96 2.32 2.57

2 5 0 6 6

You may use a calculator or the common z values above. Round the final answer to two decimal places. Do not round until the very last step.

Question

In a recent survey, a random sample of 190 film students was asked about their favorite film genre and 49 reported that their favorite film genre was comedy. What value of z should be used to calculate a confidence interval with an 80% confidence level?

z0.10 z0.05 z0.02 z0.01 z0.00

5 5

1.28 1.64 1.96 2.32 2.57

2 5 0 6 6

Question

The scores of a standardized test are normally distributed with a population standard deviation of 12 points and an unknown population mean. If a random sample of 20 scores are taken and result in a sample mean of 99 points, find the error bound (EBM) of the confidence interval with a 98% confidence level.

z0.10 z0.05 z0.02 z0.01 z0.00

5 5

1.28 1.64 1.96 2.32 2.57

2 5 0 6 6

Question

The number of square feet per house is normally distributed with a population the standard deviation of 158 square feet and an unknown population mean. If a random sample of 23 houses is taken and results in a sample mean of 1790 square feet, find the error bound (EBM) of the confidence interval with a 98% confidence level.

z0.10 z0.05 z0.02 z0.01 z0.00

5 5

1.28 1.64 1.96 2.32 2.57

2 5 0 6 6

Question

The heights of dogs, in inches, in a city, are normally distributed with a population standard deviation of 4 inches and an unknown population mean. If a random sample of 18 dogs is taken and results in a sample mean of 32 inches, find the error bound (EBM) of the confidence interval with a 90% confidence level.

z0.10 z0.05 z0.02 z0.01 z0.00

5 5

1.28 1.64 1.96 2.32 2.57

2 5 0 6 6

Question

Name the decimal: 0.0421

Question

Name the decimal: 4.068

Question

A survey of 49 people asked about the number of cups of water those people drank per day. The sample mean was 3.4 cups with a sample standard deviation of 0.98. The researchers who conducted the survey assumed the distribution of cups drank is normally distributed and used the empirical rule to construct the confidence interval (3.26,3.54). What was the confidence level they used? Round your answer to the nearest integer. Do not include the percent symbol.

Question

Calculate an approximate 68% confidence interval for the population means salaries of male employees, based on the following sample data:

From a sample of 144 male employees, the sample mean salary is $500. Assume the population standard deviation is $144. Assume the distribution of salaries is normally distributed. Enter your answer in the format (lower, upper) where "lower" is the lower confidence limit and "upper" is the upper confidence limit. Round each numerical input to the nearest integer.

Question

Calculate an approximate 99.7% confidence interval for the population mean game attendance based on the following sample data: From a sample of 169 sports games, the sample means attendance is 12065 people. Assume the distribution of attendances is normally distributed and the population standard deviation is 2873 people. Enter your answer in the format (lower, upper) where "lower" is the lower confidence limit and "upper" is the upper confidence limit. Round each numerical input to the nearest integer.

Question

Nick has collected data to find that the body weights of the forty students in a class have a normal distribution. What is the probability that a randomly selected student has a body weight greater than 169 pounds if the mean is 142 pounds and the standard deviation is 9 pounds? Use the empirical rule. Provide the final answer as a percent rounded to two decimal places.

Question

Charles has collected data to find that the total snowfall per year in Reamstown has a normal distribution. Using the Empirical Rule, what is the probability that in a randomly selected year, the snowfall was less than 87 inches if the mean is 72 inches and the standard deviation is 15 inches? Provide the final answer as a percent.

Question

Christopher has collected data to find that the total snowfall per year in Laytonville has a normal distribution. What is the probability that in a randomly selected year, the snowfall was greater than 53 inches if the mean is 92 inches and the standard deviation is 13 inches? Use the empirical rule Provide the final answer as a percent rounded to two decimal places.

Question

Calculate an approximate 95% confidence interval for the population means number of social media followers, based on the following sample data: From a sample of 75 people, the sample mean number of followers on a certain social media website is 144.6 people. Assume the population standard deviation is 35.2 people. Assume the distribution of followers is normally distributed. Enter your answer in the format (lower, upper) where "lower" is the lower confidence limit and "upper" is the upper confidence limit. Round your answers to two decimal places.

Question

Calculate an approximate 95% confidence interval for the population means weight of bags of cookies, based on the following sample data: From a sample of 36 bags of cookies, the sample means weight is 20.3 ounces. Assume the distribution of weights is normally distributed and the population standard deviation is 0.12 ounces. Enter your answer in the format (lower, upper) where "lower" is the lower confidence limit and "upper" is the upper confidence limit.

Round each numerical input to two decimal places.

Question

Calculate an approximate 99.7% confidence interval for the population mean race times based on the following sample data: From a sample of 81 runners, the sample mean race time is 157 seconds. Assume the distribution of times is normally distributed and the population standard deviation is 7.5 seconds. Enter your answer in the format (lower, upper) where "lower" is the lower confidence limit and "upper" is the upper confidence limit. Round each numerical input to one decimal place.

Question

After collecting the data, Christopher finds that the total snowfall per year in Reamstown isbnormally distributed with mean of 94 inches and a standard deviation of 14 inches. Which of the following gives the probability that in a randomly selected year, the snowfall was greater than 52 inches? Use the empirical rule Provide the final answer as a percent rounded to two decimal places.

Question

Calculate an approximate 99.7% confidence interval for the population mean wages of female workers, based on the following sample data: From a sample of 144 female workers, the sample mean wage is $500. Assume the population standard deviation is $50. Assume the distribution of wages is normally distributed. Enter your answer in the format (lower, upper) where "lower" is the lower confidence limit and "upper" is the upper confidence limit. Round each numerical input to one decimal place.

Question

Suppose weights, in pounds, of dogs in a city are normally distributed and have a known population standard deviation of 5 pounds and an unknown population mean. A random sample of 17 dogs is taken and gives a sample mean of 21 pounds. Find the error bound (EBM) of the confidence interval with a 90% confidence level.

z0.10 z0.05 z0.02 z0.01 z0.00

5 5

1.28 1.64 1.96 2.32 2.57

2 5 0 6 6

Question

Suppose the heights of a population of male giraffes are normally distributed with an unknown population mean and a population standard deviation of 3.4 feet. A random sample of male giraffes from the population produces a sample mean height of x¯=15.2 feet. What value of z should be used to calculate a confidence interval with a 90% confidence level?

z0.10 z0.05 z0.02 z0.01 z0.00

1.28 1.64 5 2.32 5

1.96 2.57

2 5 0 6 6

Question

The length, in words, of the essays written for a contest, is normally distributed with a population standard deviation of 565 words and an unknown population mean. If a a random sample of 17 essays is taken and results in a sample mean of 940 words, find the error bound (EBM) of the confidence interval with a 90% confidence level.

z0.10 z0.05 z0.02 z0.01 z0.00

5 5

1.28 1.64 1.96 2.32 2.57

2 5 0 6 6

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