Suppose that a t test of H₀ : μ = 250 against H₁ : μ 250 is based on 10 degrees of freedom.If the calculated value of the test statistic is t = 2.228,then the p-value for this test is 0.025.

Question

Suppose that a t test of H₀ : μ = 250 against H₁ : μ > 250 is based on 10 degrees of freedom.If the calculated value of the test statistic is t = 2.228,then the p-value for this test is 0.025.

Quizplus · Accepted Answer

Since the calculated t-value is positive and the alternative hypothesis is one-sided (μ > 250), we will find the p-value corresponding to the right-tail of the t-distribution with 10 degrees of freedom. Using a t-table or calculator, we can find that the area to the right of t=2.228 is approximately 0.025. Therefore, the p-value for this test is 0.025, which means we can reject the null hypothesis at the 0.05 level of significance.

Suppose That a T Test of H0 : μ =

Suppose That a T Test of H₀ : μ =