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

We can use a one-tailed t-test since we are testing a single direction (μ > 8). The test statistic can be calculated as (8.112-8)/(0.16/sqrt(25)) = 2.2. Using a t-table with degrees of freedom = 24 and α = 0.01, we find the critical t-value to be 2.492. Since our test statistic is less than the critical value, we reject the null hypothesis and conclude that μ > 8. Therefore, the answer is A.

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

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