Understanding Basic Statistics 6th Edition by Charles Henry Brase,Corrinne Pellillo Brase

Exercise 27

In Problems 13-19, assume that the population of x values has an approximately normal distribution.
Camping: Cost of a Sleeping Bag 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 was taken from Backpacker Magazine: Gear Guide (Vol. 25, Issue 157, No. 2). Brand names include American Camper, Cabela's, Camp 7, Caribou, Cascade, and Coleman.

(a) Use a calculator with mean and sample standard deviation keys to verity that
$83.75 and s = $28.97.
(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 of all summer sleeping bags.
(c) Interpretation What does the confidence interval mean in the context of this problem