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Suppose a population has alpha = 5 . An investigation is to be conducted to test...

Suppose a population has alpha = 5 . An investigation is to be conducted to test the claim that alpha = 25 . A simple random sample of 108 individuals yields a sample mean of 24. Two statistics students, Jim and Jenny, set up different null and alternative hypotheses for this situation. Jim has hypotheses of: H0 : U > 25 and HA: U < 25 . Jenny has hypotheses of: H0 : U = 25 and HA: U =/= 25. They both decide to perform a Z-test. Answer the following questions regarding this scenario.

(a) Do you agree with Jim and Jenny’s decision to perform a Z-test. Explain your answer.

(b) Will Jim be doing a left, right, or two-tailed test?

(c) Will Jenny be doing a left, right, or two-tailed test?

(d) Who will have the larger p-value, Jim or Jenny? Explain your answer.

(e) Based on (d) who is more likely to reject the null hypothesis, Jim or Jenny? You may assume that Jim and Jenny use the same significance level.

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