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Suppose that we wanted the total width of the two-sided confidence interval on m

ID: 3329190 • Letter: S

Question

Suppose that we wanted the total width of the two-sided confidence interval on mean life to be six hours at 95% confidence. What sample size should be used? Round up the answer to the nearest integer

2-Use Table V in Appendix A to determine the t-percentile that is required to construct each of the following two-sided confidence intervals. Round the answers to 3 decimal places.

(a) Confidence level = 95%, degrees of freedom = 13

(b) Confidence level = 95%, degrees of freedom = 18

(c) Confidence level = 99%, degrees of freedom = 10

(d) Confidence level = 99.9%, degrees of freedom = 11

Explanation / Answer

(1)

n = 20, = 25, E = 3

z- score for 95% confidence is z = 1.96

N = (z * /E)^2

N = (1.96 * 25/3)^2 = 267

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