a. Test these hypotheses by calculating the p-value given that x = 99, n = 100, and

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a. Test these hypotheses by calculating the p-value given that x̄ = 99, n = 100, and σ = 8

H0: μ = 100

H1: μ ≠ 100

b. Repeat part (a) with n = 50.

c. Repeat part (a) with n = 20.

d. What is the effect on the value of the test statistic and the p-value of the test when the sample size decreases?


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