# Question: a A statistics practitioner formulated the following hypotheses H0

a. A statistics practitioner formulated the following hypotheses.

H0: µ = 200

H1: µ < 200

And learned that x̄ = 190, n = 9, and σ = 50

Compute the p-value of the test.

b. Repeat part (a) with σ = 30.

c. Repeat part (a) with σ = 10

d. Discuss what happens to the value of the test statistic and its p-value when the standard deviation decreases.

H0: µ = 200

H1: µ < 200

And learned that x̄ = 190, n = 9, and σ = 50

Compute the p-value of the test.

b. Repeat part (a) with σ = 30.

c. Repeat part (a) with σ = 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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