Suppose you want to test the claim that $\mu 25.6$ Given a sample size of n = 55 and a level of significance of $\alpha$ α = 0.01, when should you reject H₀?
A)Reject H₀ if the standardized test statistic is greater than 2.33.
B)Reject H₀ if the standardized test statistic is greater than 1.645.
C)Reject H₀ if the standardized test statistic is greater than 1.28.
D)Reject H₀ if the standardized test statistic is greater than 2.575.

Question

Suppose you want to test the claim that $\mu > 25.6$ Given a sample size of n = 55 and a level of significance of $\alpha$ α = 0.01, when should you reject H₀?
A)Reject H₀ if the standardized test statistic is greater than 2.33.
B)Reject H₀ if the standardized test statistic is greater than 1.645.
C)Reject H₀ if the standardized test statistic is greater than 1.28.
D)Reject H₀ if the standardized test statistic is greater than 2.575.

Quizplus · Accepted Answer

Given the level of significance $\alpha = 0.01$ and the fact that this is a one-tailed test (since we're testing if $\mu > 25.6$), we look at the z-table for the critical value that corresponds to the upper tail of 0.01. The critical z-value for $\alpha = 0.01$ in a one-tailed test is approximately 2.33. Therefore, you reject $H_0$ if the standardized test statistic is greater than 2.33.

Suppose You Want to Test the Claim That μ>25.6\mu > 25.6μ>25.6

Suppose You Want to Test the Claim That $\mu > 25.6$