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

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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.

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