How much does a sleeping bag cost? Let's say you want a sleeping bag that should keep you warm in temperatures from20Fto45F.A random sample of prices ($) for sleeping bags in this temperature range is given below. Assume that the population ofxvalues has an approximately normal distribution.

65	60	110	35	95	100	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 pricex(in dollars) and sample standard deviations(in dollars). (Round your standard deviation to four decimal places.)x=$ s=$ (b)Using the given data as representative of the population of prices of all sleeping bags, find a 90% confidence interval for the mean price(in dollars) of all sleeping bags. (Enter your answer in the form: lower limit to upper limit. Include the word "to." Round your numerical values to two decimal places.)$