Question: To test Ho: \(\mu \) = 40 versus H₁: \(\mu \) > 40, a simple random sample of size n = 25 is obtained from a population that is known to be normally distributed.

If \(\bar{X}\) = 42.3 and s = 4.3, compute the test statistic.

If the researcher decides to test this hypothesis at the \(\alpha \) = 0.01 level of significance, determine the critical value.

Will the researcher reject the null hypothesis? Why? Let x be the sample proportion.