Quiz: Chapter 8 Quiz This Question: 1 pt 5 of 10 (4 complete) Determine the marg

Question

Quiz: Chapter 8 Quiz This Question: 1 pt 5 of 10 (4 complete) Determine the margin of error for a confidence interval to estimate the population mean with n 24 and s 15.7 for the confidence levels below. a) 80% b) 90% c) 99% a) The margin of error for an 80% confidence interval is ® Round to two decimal places as needed.) |? b) The margin of error for a 90% confidence interval is Round to two decimal places as needed.) c) The margin of error for a 99% confidence interval is 2 (Round to two decimal places as needed.)

Explanation / Answer

a) For alpha = 0.2, Z* = +/-1.28

Margin of error, E = (Z*) * s/sqrt(n) = 1.28 * 15.7/sqrt(24)= 4.10

b) Z* = 1.64

E = 1.64 * 15.7/sqrt(24) = 5.26

c) Z* = 2.58

E = 2.58 * 15.7/sqrt(24) = 8.27

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