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Compute the p-value in order to test the following hypotheses given that x = 52, n = 9, and s = 5. H0: µ = 50 H1: µ > 50 b. Repeat part (a) with n = 25. c. Repeat part (a) with n = 100. d. Describe what happens to the value of the test statistic and its p-value when the sample size increases. 11.14 a. A statistics practitioner formulated the following hypotheses. H0: µ = 200 H1: µ < 200 and learned that x = 190, n = 9, and s = 50 Compute the p-value of the test. b. Repeat part (a) with s = 30. c. Repeat part (a) with s = 10 d. Discuss what happens to the value of the test statistic and its p-value when the standard deviation decreases.
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