To test H0: = 50 versus H1: < 50, a simple random sample of size

To test H0: µ = 50 versus H1: µ < 50, a simple random sample of size n = 24 is obtained from a population that is known to be normally distributed.

(a) If x̄ = 47.1 and s = 10.3, compute the test statistic.

(b) If the researcher decides to test this hypothesis at the α = 0.05 level of significance, determine the critical value.

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

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