## Get Best MATH 221 Week 5 Homework Statistics for Decision-Making Collection

**MATH 221 Week 5 Homework (May 2021)**

**Question:**From a random sample of 58 businesses, it is found that the mean time the owner spends on administrative issues each week is 21.69 with a population standard deviation of 3.23. What is the 95% confidence interval for the amount of time spent on administrative issues?**Question:**If a confidence interval is given from 43.83 up to 61.97 and the mean is known to be 52.90, what is the margin of error?**Question:**If a computer manufacturer … a supplier that could produce parts that were very precise, what characteristics would be better?**Question:**The 95% confidence interval for these parts is 56.98 to 57.05 under normal operations. A systematic sample is taken from the manufacturing line to determine if the production process is still acceptable The mean of the sample is 56.96. What should … done about the production line?**Question:**In a sample of 41 temperature readings taken from the freezer of a restaurant, the mean is 31.9 degrees and the population standard deviation is 2.7 degrees. What would be the 80% confidence interval for the temperatures in the freezer?**Question:**What is the 99% confidence interval for a sample of 36 seat belts that have a mean length of 85.6 inches long and a population standard deviation of 2.9 inches?**Question:**If two samples A and B had the same mean and standard deviation, but sample A had a larger sample size, which sample would have the wider 95% confidence interval?**Question:**Determine the minimum sample size required when you want to be 95% confident that the sample mean is within one unit of the population mean. Assume a population standard deviation of 3.8 in a normally distributed**Question:**In a sample of 14 CEOs, they spent an average of 12.9 hours each week looking into new product opportunities with a sample standard deviation of 4.9 hours. Find the 95% confidence interval. Assume the times are normally**Question:**In a sample of 32 kids, their meantime on the internet on the phone was 29.1 hours with a population standard deviation of 6.4 hours. Which distribution would … most appropriate to use?**Question:**Under a time crunch, you only have time to take a sample of 10 water bottles and measure their contents. The sample had a mean of 05 ounces with a sample standard deviation of 0.3 ounces. What would be the 90% confidence interval, when we … these measurements are normally distributed?**Question:**Say that a supplier claims they are 99% confident that their products will be in the interval of 50.02 to 50.38. You take samples and find that the 99% confidence interval of what they are sending is 50.00 to 50.36. What conclusion can be made?**Question:**In a sample of 28 cups of coffee at the local coffee shop, the temperatures were normally distributed with a mean of 162.5 degrees with a sample standard deviation of 16.7 degrees. What would … the 95% confidence interval for the temperature of your cup of coffee be?**Question:**In a situation where the sample size was … from 41 to 63, what would … the impact on the confidence interval?**Question:**You needed a supplier that could provide parts as close to 76.8 inches in length as possible. You receive four contracts, each with a … level of accuracy in the parts supplied. Which of these four would you … most likely accept?

**MATH 221 Week 5 Homework (v1)**

**Question:**From a random sample of 58 businesses, it is found that the mean time the owner spends on administrative issues each week is 21.69 with a population standard deviation of 3.54. What is the 95% confidence interval for the amount of time spent on administrative issues?**Question:**If a confidence interval is … from 43.85 to 61.95 and the mean is known to … 52.90, what is the margin of error?**Question:**If a shirt manufacturer wanted to make shirts that fit most individuals, what characteristics would … better?**Question:**Which of the following are most likely to lead to a wide confidence interval?**Question:**If you were designing a study that would benefit from very disperse data points, you would want the input variable to have:**Question:**The 95% confidence interval for these parts is 56.98 to 57.05 under normal operations. A systematic sample is taken from the manufacturing line to determine if the production process is still within acceptable levels. The mean of the sample is 57.06. What should … done about the production line?**Question:**In a sample of 41 temperature readings taken from the freezer of a restaurant, the mean is 31.9 degrees and the population standard deviation is 2.7 degrees. What would … the 80% confidence interval be for the temperatures in the freezer be?**Question:**What is the 99% confidence interval for a sample of 36 seat belts that have a mean length of 85.6 inches long and a population standard deviation of 2.9 inches?**Question:**If two samples A and B had the same mean and sample size, but sample A had a larger standard deviation, which sample would have the wider 95% confidence interval?**Question:**Why might a company use a higher confidence interval, such as 99%, rather than a lower confidence interval, such as 80%?**Question:**Determine the minimum sample size required when you want to … 95% confident that the sample mean is within one unit of the population mean. … a population standard deviation of 3.8 in a normally distributed population.**Question:**Determine the minimum sample size required when you want to … 99% confident that the sample mean is within 0.25 units of the population mean. … a population standard deviation of 2.9 in a normally distributed population.**Question:**In a sample of 14 CEOs, they spent an average of 12.9 hours each week looking into new product opportunities with a sample standard deviation of 4.9 hours. Find the 95% confidence interval. … the times are normally distributed.**Question:**In a sample of 31 kids, their meantime on the internet on the phone was 36.5 hours with a sample standard deviation of 8.3 hours. Which distribution would … most appropriate to use, when we assume these times are normally …?**Question:**Under a time crunch, you only have time to take a sample of 15 water bottles and measure their contents. The sample had a mean of 20.05 ounces with a sample standard deviation of 0.3 ounces. What would … the 90% confidence interval, when we … these measurements are normally distributed?**Question:**Say that a supplier claims they are 99% confident that their products will … in the interval of 50.02 to 50.38. You take samples and find that the 99% confidence interval of what they are sending is 50.04 to 50.40. What conclusion can … made?**Question:**Market research indicates that a new product has the potential to make the company an additional $1.6 million, with a standard deviation of $2.5 million. If these estimates were … on a sample of 8 customers from a normally … data set, what would … the 95% confidence interval be?**Question:**In a sample of 20 cups of coffee at the local coffee shop, the temperatures were normally distributed with a mean of 162.5 degrees with a sample standard deviation of 14.1 degrees. What would … the 95% confidence interval for the temperature of your cup of coffee be?**Question:**In a situation where the sample size from a normally distributed data set was decreased from 45 to 22, what would … the impact on the confidence interval?**Question:**You … a supplier that could provide parts as close to 76.8 inches in length as possible. You receive four contracts, each with a … level of accuracy in the parts supplied. Which of these four would you … most likely accept?

**MATH-221 Week 5 Homework (v2)**

**Question:**From a random sample of 58 businesses, it is found that the mean time the owner spends on administrative issues each week is 20.53 with a population standard deviation of 3.23. What is the 95% confidence interval for the amount of time spent on administrative issues?**Question:**If a confidence interval is … from 43.83 up to 61.97 and the mean is known to … 52.90, what is the margin of error?**Question:**If a car manufacturer wanted lug nuts that fit nearly all the time, what characteristics would … better?**Question:**Which of the following are most likely to lead to a narrow confidence interval?**Question:**If you were designing a study that would benefit from very disperse data points, you would want the input variable to have:**Question:**The 95% confidence interval for these parts is 56.98 to 57.05 under normal operations. A systematic sample is taken from the manufacturing line to determine if the production process is still within acceptable levels. The mean of the sample is 56.99. What should … done about the production line?**Question:**In a sample of 41 temperature readings taken from the freezer of a restaurant, the mean is 31.9 degrees and the population standard deviation is 2.7 degrees. What would … the 80% confidence interval be for the temperatures in the freezer be?**Question:**What is the 99% confidence interval for a sample of 36 seat belts that have a mean length of 85.6 inches long and a population standard deviation of 2.5 inches?**Question:**If two samples A and B had the same mean and sample size, but sample B had a larger standard deviation, which sample would have the wider 95% confidence interval?**Question:**Why might a company use a lower confidence interval, such as 80%, rather than a high confidence interval, such as 99%?**Question:**Determine the minimum sample size required when you want to … 95% confident that the sample mean is within two units of the population mean. Assume a population standard deviation of 4.3 in a normally distributed population:**Question:**Determine the minimum sample size … when you want to … 99% confident that the sample mean is within 0.50 units of the population mean. Assume a population standard deviation of 1.4 in a normally distributed population.**Question:**In a sample of 10 CEOs, they spent an average of 12.9 hours each week looking into new product opportunities with a sample standard deviation of 4.9 hours. Find the 95% confidence interval. Assume the times are normally …**Question:**In a sample of 32 kids, their meantime on the internet on the phone was 29.1 hours with a population standard deviation of 6.4 hours. Which distribution would … most appropriate to use?**Question:**Under a time crunch, you only have time to take a sample of 10 water bottles and measure their contents. The sample had a mean of 20.05 ounces with a sample standard deviation of 0.3 ounces. What would … the 90% confidence interval, when we … these measurements are normally …?**Question:**Say that a supplier claims they are 99% confident that their products will … in the interval of 50.02 to 50.38. You take samples and find that the 99% confidence interval of what they are sending is 50.01 to 50.39. What conclusion can … made?**Question:**Market research indicates that a new product has the potential to make the company an additional $1.6 million, with a standard deviation of $2.5 million. If these estimates were … on a sample of 12 customers from a normally distributed data set, what would … the 95% confidence interval be?**Question:**In a sample of 28 cups of coffee at the local coffee shop, the temperatures were normally … with a mean of 162.5 degrees with a sample standard deviation of 16.7 degrees. What would … the 95% confidence interval for the temperature of your cup of coffee be?**Question:**In a situation where the sample size was 28 while the population standard deviation was increased, what would … the impact on the confidence interval?**Question:**You needed a supplier that could provide parts as close to 76.8 inches in length as possible. You receive four contracts, each with a promised level of accuracy in the parts supplied. Which of these four would you … most likely accept?

**MATH 221 Week 5 Homework (v3)**

**Question:**From a random sample of 58 businesses, it is found that the mean time the owner spends on administrative issues each week is 20.53 with a population standard deviation of 3.54. What is the 95% confidence interval for the amount of time spent on administrative issues?**Question:**If a confidence interval is … from 43.83 up to 61.97 and the mean is known to … 52.90, what is the margin of error?**Question:**If a grocery store purchases paper bags from a company, they want them generally the same, but don’t want to pay extra for precision. What characteristics would … better?**Question:**Which of the following are most likely to lead to a narrow confidence interval?**Question:**If you were designing a study that would benefit from a narrow range of data points, you would want the input variable to have:**Question:**The 95% confidence interval for these parts is 56.98 to 57.05 under normal operations. A systematic sample is taken from the manufacturing line to determine if the production process is still within acceptable levels. The mean of the sample is 57.06. What should … done about the production line?**Question:**In a sample of 65 temperature readings taken from the freezer of a restaurant, the mean is 31.9 degrees and the population standard deviation is 2.7 degrees. What would … the 80% confidence interval be for the temperatures in the freezer be?**Question:**What is the 99% confidence interval for a sample of 36 seat belts that have a mean length of 85.6 inches long and a population standard deviation of 2.5 inches?**Question:**If two samples A and B had the same mean and standard deviation, but sample A had a larger sample size, which sample would have the wider 95% confidence interval?**Question:**Why might a company use a higher confidence interval, such as 99%, rather than a lower confidence interval, such as 80%?**Question:**Determine the minimum sample size required when you want to … 95% confident that the sample mean is within two units of the population mean. Assume a population standard deviation of 3.8 in a normally distributed population.**Question:**Determine the minimum sample size … when you want to … 99% confident that the sample mean is within 0.50 units of the population mean. Assume a population standard deviation of 2.9 in a normally distributed population.**Question:**In a sample of 10 CEOs, they spent an average of 12.9 hours each week looking into new product opportunities with a sample standard deviation of 4.9 hours. Find the 95% confidence interval. Assume the times are normally distributed.**Question:**In a sample of 31 kids, their meantime on the internet on the phone was 36.5 hours with a sample standard deviation of 8.3 hours. Which distribution would … most appropriate to use, when we assume these times are normally …?**Question:**Under a time crunch, you only have time to take a sample of 15 water bottles and measure their contents. The sample had a mean of 20.05 ounces with a sample standard deviation of 0.4 ounces. What would … the 90% confidence interval, when we … these measurements are normally …?**Question:**Say that a supplier claims they are 99% confident that their products will … in the interval of 50.02 to 50.38. You take samples and find that the 99% confidence interval of what they are sending is 50.01 to 50.39. What conclusion can … made?**Question:**Market research indicates that a new product has the potential to make the company an additional $1.6 million, with a standard deviation of $2.0 million. If these estimates were based on a sample of 12 customers from a normal… data set, what would … the 95% confidence interval be?**Question:**In a sample of 28 cups of coffee at the local coffee shop, the temperatures were normally … with a mean of 162.5 degrees with a sample standard deviation of 16.7 degrees. What would … the 95% confidence interval for the temperature of your cup of coffee be?**Question:**In a situation where the sample size was increased from 41 to 63, what would … the impact on the confidence interval?**Question:**You … a supplier that could provide parts as close to 76.8 inches in length as possible. You receive four contracts, each with a … level of accuracy in the parts supplied. Which of these four would you … most likely to accept?

**MATH-221 Week 5 Homework (v4)**

**Question:**From a random sample of 58 businesses, it is found that the mean time the owner spends on administrative issues each week is 20.53 with a population standard deviation of 3.23. What is the 95% confidence interval for the amount of time spent on administrative issues?**Question:**If a confidence interval is … from 43.85 up to 61.95 and the mean is … 52.90, what is the margin of error?**Question:**If a computer manufacturer … a supplier that could produce parts that were very precise, what characteristics would … better?**Question:**Which of the following are most likely to lead to a narrow confidence interval?**Question:**If you were designing a study that would benefit from data points with high values, you would want the input variable to have:**Question:**The 95% confidence interval for these parts is 56.98 to 57.05 under normal operations. A systematic sample is taken from the manufacturing line to determine if the production process is still within acceptable levels. The mean of the sample is 56.96. What should … done about the production line?**Question:**In a sample of 57 temperature readings taken from the freezer of a restaurant, the mean is 29.6 degrees and the population standard deviation is 2.7 degrees. What would … the 80% confidence interval be for the temperatures in the freezer be?**Question:**What is the 99% confidence interval for a sample of 52 seat belts that have a mean length of 85.6 inches long and a population standard deviation of 2.9 inches?**Question:**If two samples A and B had the same mean and sample size, but sample A had a larger standard deviation, which sample would have the wider 95% confidence interval?**Question:**Why might a company use a higher confidence interval, such as 99%, rather than a lower confidence interval, such as 80%?**Question:**Determine the minimum sample size … when you want to … 95% confident that the sample mean is within two units of the population mean. Assume a population standard deviation of 3.8 in a normally distributed population.**Question:**Determine the minimum sample size … when you want to … 99% confident that the sample mean is within 0.25 units of the population mean. Assume a population standard deviation of 2.9 in a normally distributed population.**Question:**In a sample of 10 CEOs, they spent an average of 12.9 hours each week looking into new product opportunities with a sample standard deviation of 4.9 hours. Find the 95% confidence interval. … the times are normally …**Question:**In a sample of 18 kids, their meantime on the internet on the phone was 28.6 hours with a sample standard deviation of 5.6 hours. Which distribution would … most appropriate to use, when we assume these times are normally …?**Question:**Under a time crunch, you only have time to take a sample of 10 water bottles and measure their contents. The sample had a mean of 20.05 ounces with a sample standard deviation of 0.3 ounces. What would … the 90% confidence interval, when we … these measurements are normally …?**Question:**Say that a supplier claims they are 99% confident that their products will … in the interval of 50.02 to 50.38. You take samples and find that the 99% confidence interval of what they are sending is 50.01 to 50.39. What conclusion can … made?**Question:**Market research indicates that a new product has the potential to make the company an additional $1.6 million, with a standard deviation of $2.5 million. If these estimates were … on a sample of 12 customers from a normally … data set, what would … the 95% confidence interval be?**Question:**In a sample of 28 cups of coffee at the local coffee shop, the temperatures were normally … with a mean of 182.5 degrees with a sample standard deviation of 14.1 degrees. What would … the 95% confidence interval for the temperature of your cup of coffee be?**Question:**In a situation where the sample size from a normally … data set was … from 45 to 22, what would … the impact on the confidence interval?**Question:**You needed a supplier that could provide parts as close to 76.8 inches in length as possible. You receive four contracts, each with a promised level of accuracy in the parts … Which of these four would you … most likely accept?

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