We are testing H₀: μ ≤ 8;versus H_A: μ 8.Given α = .01,n = 25, = 8.112,and s = .16,we should reject the H₀.(Assume the sample is selected from a normally distributed population. )

Question

We are testing H₀: μ ≤ 8;versus H_A: μ > 8.Given α = .01,n = 25, = 8.112,and s = .16,we should reject the H₀.(Assume the sample is selected from a normally distributed population. )

Quizplus · Accepted Answer

This is a one-tailed test since the alternative hypothesis is μ > 8. We calculate the test statistic as (8.112-8)/(0.16/sqrt(25)) = 2.15. The critical value for α=0.01 and 24 degrees of freedom is 2.492. Since 2.15 < 2.492, we fail to reject the null hypothesis H₀. The statement in the question is incorrect, so the correct answer is A)True.

We Are Testing H0: μ ≤ 8;versus HA: μ >

We Are Testing H₀: μ ≤ 8;versus H_A: μ >