Suppose you want to test the claim that $\mu

Question

Suppose you want to test the claim that $\mu < 65.4 .$ Given a sample size of n = 35 and a level of significance of $\alpha$ α = 0.05, when should you reject H₀?
A)Reject H₀ if the standardized test statistic is less than -1.645.
B)Reject H₀ if the standardized test is less than -1.96.
C)Reject H₀ if the standardized test statistic is less than -1.28.
D)Reject H₀ if the standardized test statistic is less than -2.33.

Quizplus · Accepted Answer

For a one-tailed test with $\alpha = 0.05$, the critical value for a Z-test is -1.645. This is because the area to the left of -1.645 under the standard normal distribution curve corresponds to 5% of the total area (or probability), aligning with the significance level of 0.05.

Suppose You Want to Test the Claim That μ<65.4.\mu < 65.4 .μ<65.4.

Suppose You Want to Test the Claim That $\mu < 65.4 .$