This Question: 1 pt 5 of 9 (O completes This Quiz: 9 pts possible confidence int

Question

This Question: 1 pt 5 of 9 (O completes This Quiz: 9 pts possible confidence intervals or he opul tion mean. w ich Inter va s w der? convenient use echnology to construct th6 con dence inter va s You arB given t sample mean and the popula on s an ard deve on se is n ormalor construct te 90% and 95 A random sample of 44 gas grills has a mean price of $847.40. Assume the population standard deviation is S57.70 ine ga% contidence interval is OD Round to one decimal place as needed.) The 95% confidence interval is D Round to one decima plece as neederd) Wiich eval is wide? Choosethe corrcl aniswer bekw. ( The 95% confidenoe inlB'val The 90% confidence interval

Explanation / Answer

Sample size = 44

Mean price x = $ 647.40

Population stanard deivation = $ 57.70

90% cofidence interval = x +- Z90% (/sqrt(n) = 647.70 +- 1.645 * (57.70/ sqrt(44)) = (633.1 , 661.7)

95 % cofidence interval = x +- Z95% (/sqrt(n) = 647.70 +- 1.96 * (57.70/ sqrt(44)) = (630.4 , 664.4)

The 95 % confidence interval is wider.

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