A paint manufacturer uses a machine to ll 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 0.69 ounce. (b) The sample mean is 128.25 ounces. With a sample size of 5, a 90% level of confidence, and a population standard deviation of 0.69 ounce, does it seem possible that the population mean could be exactly 128 ounces? Explain. Click here to view [99 1 of the Standard Normal Table. Click here to view [age 2 of the Standard Normal Table. (3 (a) The minimum sample size required to construct a 90% confidence interval is El cans. (Round up to the nearest whole number.) (b) The 90% confidence interval for a sample size of 5 is (D, D). It seem possible that the population mean could be exactly 128 ounces because 128 ounces falls the confidence interval. (Round to two decimal places as needed.)