Question

In: Statistics and Probability

How much does a sleeping bag cost? Let's say you want a sleeping bag that should...

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.

90 65 110 35 95 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 = $
s = $


(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.)

lower limit     $
upper limit     $

Solutions

Expert Solution

90 9.10 82.81
65 -15.90 252.81
110 29.10 846.81
35 -45.90 2106.81
95 14.10 198.81
50 -30.90 954.81
30 -50.90 2590.81
23 -57.90 3352.41
100 19.10 364.81
110 29.10 846.81
105 24.10 580.81
95 14.10 198.81
105 24.10 580.81
60 -20.90 436.81
110 29.10 846.81
120 39.10 1528.81
95 14.10 198.81
90 9.10 82.81
60 -20.90 436.81
70 -10.90 118.81

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Refer t-table or use excel function "=T.INV.2T(0.10,19)" to find the critical value of t.


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