How much does a sleeping bag cost? let's say you want a sleeping bag that should keep you warm in temperatures from 20°f to 45°f. a random sample of prices ($) for sleeping bags in this temperature range is given below. assume that the population of x values has an approximately normal distribution. 35 85 105 40 100 50 30 23 100 110 105 95 105 60 110 120 95 90 60 70 (a) use a calculator with mean and sample standard deviation keys to find the sample mean price x and sample standard deviation s. (round your answers to two decimal places.) x = $ 79.4 correct: your answer is correct. s = $ 30.62 correct: your answer is correct. (b) using the given data as representative of the population of prices of all summer sleeping bags, find a 90% confidence interval for the mean price μ of all summer sleeping bags. (round your answers to two decimal places.)