Suppose you are testing the null hypothesis that a population mean is less than or equal to 46,against the alternative hypothesis that the population mean is greater than 46.If the sample size is 25, $\sigma$ is known,and alpha = .01,the critical value of z is _______.
A)1.645
B)-1.645
C)1.28
D)-2.33
E)2.33

Question

Quizplus · Accepted Answer

Since we are testing a one-tailed hypothesis (greater than), and alpha = .01, we need to find the z-score that corresponds to the upper 1% of the normal distribution. The critical value for a one-tailed test with alpha = .01 is 2.33. Therefore, the answer is E).

Suppose You Are Testing the Null Hypothesis That a Population σ\sigmaσ

Suppose You Are Testing the Null Hypothesis That a Population $\sigma$