Please show ALL your works and round answers to 3 decimal places.

Commute Time In a random sample of eight people, the mean commute time to work was 35.5 minutes and the standard deviation was 7.2 minutes. Find a 90% confidence interval for the mean commute time #7 Driving Distance In a random sample of five people, the mean driving distance to work was 22.2 miles and the standard deviation was 5.8 miles. Find a 98% confidence interval for the mean driving distance Sodium Chloride Concentration In 36 randomly selected seawater samples, the mean sodium chloride concentration was 23 cubic centimeters per cubic meter. Assume the population standard deviation is 6.7 cubic centimeters per cubic meter. Find a 95% confidence interval for the mean sodium chloride concentration. #9 Dental Visits In a survey of 674 U.S. males ages 18 to 64, 396 say they have gone to the dentist in the past year. Find a 99% confidence interval for the proportion of males age 18 to 64 that have gone to the dentist in the past year. #10 Paint Can Volumes A paint manufacturer uses a machine to fill gallon cans with paint (see gure). (a) The manufacturer wants to estimate the mean volume of paint the machine is putting in the cans within 0.25 ounce. Determine the minimum sample size required to construct a 90% confidence interval for the population mean. Assume the population standard deviation is 0.85 ounce. (b) Repeat part (3) using an error tolerance of 0.15 ounce. (c) Which error tolerance requires a larger sample size? Explain. Error tolerance = 0.25 oz