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If X-bar= 95, S = 22, and n = 64, and assuming that the population is...

If X-bar= 95, S = 22, and n = 64, and assuming that the population is normally distributed:

a. Construct a 99% confidence interval for the population mean, μ.

b. Based on your answer to part (a), test the null hypothesis that the population mean μ = 101 vs. the alternative that μ ≠ 101.

c. What is the probability that μ = 101?

d. What is the probability that μ > 101?

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