Question: a To test the following hypotheses a statistics practitioner randomly

a. To test the following hypotheses, a statistics practitioner randomly sampled 100 observations and found x̄ = 106 and s = 35. Calculate the test statistic (and for Excel users, the p-value) of a test to determine whether there is enough evidence at the 1% significance level to infer that the alternative hypothesis is true.
H0: µ = 100
H1: µ > 100
b. Repeat part (a) with s = 25.
c. Repeat part (a) with s = 15.
d. Discuss what happens to the t-statistic when the standard deviation decreases.

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