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A hydraulic press is operating correctly when the standard deviation of the pressure is less than 120 pounds-per-square-inch (psi) .Suppose you take a random sample of 15 measurements throughout the day of the psi and find the standard deviation to be 148.Suppose you want to test whether the press is operating correctly.
-When testing H₀ : μ = 50 against H₁ : μ ≠ 50,where would the rejection region fall for this hypothesis test?

Question

Quizplus · Accepted Answer

Since we are testing whether the true mean pressure is not equal to 50, the rejection region for a two-tailed test would fall in both the left and right tails. The specific cutoffs would depend on the chosen significance level, but they would be symmetric about the null value of 50.

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