Asurvey of the mean number of cents off that coupons give was conducted by randomly surveying one coupon per page from the coupon sections of a recent san jose mercury news. the following data were collected: 20% 75c; 50c; 65c; 300; 55 40c; 40c; 30c; 55, $1.50; 400; 65; 40c. assume the underlying distribution is approximately normal. a. b. c. d. define the random variables x and x in words. which distribution should you use for this problem? explain your choice. construct a 95% confidence interval for the population mean worth of coupons. i. state the confidence interval