To test H0: = 100 versus H1: 100, a simple random sample of size n = 23 is obtained from a population

To test H0: µ = 100 versus H1: µ ≠ 100, a simple random sample of size n = 23 is obtained from a population that is known to be normally distributed.

(a) If x̄ = 104.8 and s = 9.2, compute the test statistic.

(b) If the researcher decides to test this hypothesis at the α = 0.01 level of significance, determine the critical values.

(c) Draw a t-distribution that depicts the critical region.

(d) Will the researcher reject the null hypothesis? Why?

(e) Construct a 99% confidence interval to test the hypothesis.