A magazine includes a report on the energy costs per year for 32-inch liquid ory

Question

A magazine includes a report on the energy costs per year for 32-inch liquid orystal display (LCD) televisions. The article states that 14 randomly selected 32-inch LCD tele sions have a sample standard deviation of S3 86. Assume the sample is taken om a normally distributed population. Construct 90% confidence inter als fo a the population variance 2 and (b) the population standard devat on . Interpret the results. (a) The confidence interval for the population variance is (Round to two decimal places as needed.)

Explanation / Answer

a)

confidence interval for variance =8.66 ; 32.87

b)

here n = 14           s2= 14.8996 Critical value for 13 degree of freedom and 90 % CI are as follows 2L= 2 0.05 = 5.892 2U= 2 0.95 = 22.362 (n-1)s2/2U <=2<= (n-1)s2/2L

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