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[40 pts] Suppose it is known from experience that the standard deviation of the weight of 10-ounce packages of cookies is 0.20 ounces. To check whether the actual average is, on a given day, 10 ounces, employees select a random sample of 36 packages and find that their mean weight is 9.45 ounces. Provide a 99% confidence interval estimate of the mean weight. Show all the steps used in the process. Explain in words what is the meaning of the confidence interval. [60 pts] In order to determine how many hours per week freshmen college students watch television, a random sample of 256 students was selected. It was determined that the students in the sample spent an average of 14 hours per week watching television. The sample standard deviation is 3.2 hours per week for all freshmen college students. a. Provide a 95% confidence interval estimate for the average number of hours that all college freshmen spend watching TV per week. Show all the steps used in the process. Explain in words what is the meaning of the confidence interval. b. Suppose the mean and standard deviation came from a sample of 70 students. Provide a 95% confidence interval estimate for the average number of hours that all college freshmen spend watching TV per week. Explain in words what is the meaning of the confidence interval