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

Question

A magazine includes a report on the energy costs per year for 32-inch liquid crystal display (LCD) televisions. The arsicle stales that 14 randomly selected 32-inch LCD televisions have a sample standard deviation of $3.82 Assume the sample is taken from a nor nally dstituted population Construd 95% confidence als for (a) the population va lance e, and (b te the po dat n standard de uso, a klip ethe re h (a) The contidence interval for the population variance is Round to two decimal places as needed ) -peat the results. Select the correct choice below and inte answer bar(es) to complete your choice. Round to two decimal places as needed) OA. with 5% confidence, you can say that the population variance is less than O c, with 5% confdence, you can say that the population variance is between OB. we,95% confdence, you can say that the population variance is greater than D. With 95% confdence, you can say hat he pepulation variance between and and b) The confidence interval for the population standard deviation isD Round to two decimal places as needed ) Interpret the results. Select the correct choice beow and fill in the answrer box(es) to complete your choice Round to two decimal places as needed) Win5% confidece, you can say that the population standard de ase is between per year OB and dlas with 5% confidence you can say that the population standard deviation is greater tan year A, dolars per

Explanation / Answer

Solution:

a)(14-1)*3.82^2/24.736 < var < (14-1)*3.82^2/5.009

189.70/24.736< var <189.70/5.009

7.669 < Var < 37.87
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7.669 < var < 37.87

We have 95% confidence that the variance is between those values 7.669 and 37.87


b: sqrt(7.669) < s < sqrt(37.87)

2.7692< s < 6.153

We have 95% confidence that the standard deviation is between 2.7692 and 6.153

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