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a Find the p value of the following test given that

a. Find the p-value of the following test given that x̄ = 990, n = 100, and σ = 25.

H0: μ = 1000

H1: μ < 1000

b. Repeat part (a) with σ = 50.

c. Repeat part (a) with σ = 100.

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

H0: μ = 1000

H1: μ < 1000

b. Repeat part (a) with σ = 50.

c. Repeat part (a) with σ = 100.

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

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