We test H₀: μ ≤ 3.0;versus H_A: μ 3.0.If = 3.44,s = .57,and n = 13,at a significance level of .05,we do not reject H₀.(Assume population normality. )

Question

We test H₀: μ ≤ 3.0;versus H_A: μ > 3.0.If = 3.44,s = .57,and n = 13,at a significance level of .05,we do not reject H₀.(Assume population normality. )

Quizplus · Accepted Answer

The calculated test statistic (t-value) for this hypothesis test is (3.44 - 3.0)/(0.57/sqrt(13)) = 2.77. At a significance level of 0.05, the critical t-value for a one-tailed test with 12 degrees of freedom is 1.782. Since 2.77 > 1.782, we reject the null hypothesis and conclude that there is evidence to support the alternative hypothesis that the population mean is greater than 3.0. Therefore, the answer is B, false.

We Test H0: μ ≤ 3

We Test H₀: μ ≤ 3