How much does a sleeping bag cost? Let's say you want a sleepingbag that should keep you warm in temperatures from 20°F to 45°F. Arandom sample of prices ($) for sleeping bags in this temperaturerange is given below. Assume that the population ofxvalues has an approximately normal distribution.
| 110 | 115 | 120 | 85 | 70 | 65 | 30 | 23 | 100 | 110 |
| 105 | 95 | 105 | 60 | 110 | 120 | 95 | 90 | 60 | 70 |
(a) Use a calculator with mean and sample standard deviationkeys to find the sample mean price x and sample standarddeviation s. (Round your answers to two decimalplaces.)
(b) Using the given data as representative of the population ofprices of all summer sleeping bags, find a 90% confidence intervalfor the mean price μ of all summer sleeping bags. (Roundyour answers to two decimal places.)
| lower limit    | $ |
| upper limit    | $ |
