6.1.47 Determine the minimum sample size required when you want to be 99% confident that the sample mean is within one unit of the population mean and o = 19.1. Assume the population is normally distributed. A 99% confidence level requires a sample size of (Round up to the nearest whole number as needed.)6.1.36-T Question Help You are given the sample mean and the population standard deviation. Use this information to construct the 90% and 95% confidence intervals for the population mean. Interpret the results and compare the widths of the confidence intervals. From a random sample of 47 business days, the mean closing price of a certain stock was $107.36. Assume the population standard deviation is $11.33. The 90% confidence interval is (]]). (Round to two decimal places as needed.)You are given the sample mean and the population standard deviation. Use this information to construct the 90% and 95% confidence intervals for the population mean. Interpret the results and compare the widths of the confidence intervals. From a random sample of 58 dates, the mean record high daily temperature in a certain city has a mean of 85.57"F. Assume the population standard deviation is 13.73 F. The 90% confidence interval is (]]. (Round to two decimal places as needed.)7 studies, the publisher assumes o is 1.7 minutes and that the population of times is normally distributed. 8 A publisher wants to estimate the mean length of time (in minutes) all adults spend reading newspapers. To determine this estimate, the publisher takes a random sample of 15 people and obtains the results below. From past 12 11 8 10 12 11 10 Construct the 90% and 99% confidence intervals for the population mean. Which interval is wider? If convenient, use technology to construct the confidence intervals. 9 8 8 6 The 90% confidence interval is (].). (Round to one decimal place as needed.) 12 106.1.50 Question Help An admissions director wants to estimate the mean age of all students enrolled at a college. The estimate must be within 1.3 years of the population mean. Assume the population of ages is normally distributed. (@) Determine the minimum sample size required to construct a 90% confidence interval for the population mean. Assume the population standard deviation is 1.4 years. (b) The sample mean is 20 years of age. Using the minimum sample size with a 90% level of confidence, does it seem likely that the population mean could be within 8% of the sample mean? within 9% of the sample mean? Explain. Click here to view page 1 of the Standard Normal Table. Click here to view page 2 of the Standard Normal Table. (a) The minimum sample size required to construct a 90% confidence interval is students. (Round up to the nearest whole number.)6.1.51 Question Help A paint manufacturer uses a machine to fill gallon cans with paint (1 gal = 128 ounces). The manufacturer wants to estimate the mean volume of paint the machine is putting in the cans within 0.6 ounce. Assume the population of volumes is normally distributed. (a) Determine the minimum sample size required to construct a 90% confidence interval for the population mean. Assume the population standard deviation is 0.78 ounce. (b) The sample mean is 127.75 ounces. With a sample size of 7, a 90% level of confidence, and a population standard deviation of 0.78 ounce, does it seem possible that the population mean could be exactly 128 ounces? Explain. Click here to view page 1 of the Standard Normal Table. Click here to view page 2 of the Standard Normal Table. (a) The minimum sample size required to construct a 90% confidence interval is cans. (Round up to the nearest whole number.)A publisher wants to estimate the mean length of time (in minutes) all adults spend reading newspapers. To determine this estimate, the publisher takes a random sample of 15 people and obtains the results below. From past studies, the publisher assumes o is 1.9 minutes and that the population of times is normally distributed. 11 11 8 6 8 6 11 9 9 12 12 10 9 10 9 Construct the 90% and 99% confidence intervals for the population mean. Which interval is wider? If convenient, use technology to construct the confidence intervals. The 90% confidence interval is ( ). (Round to one decimal place as needed.)