Question: To test H0: = 80 versus H1: < 80, a simple random sample of size n = 22 is obtained from a population

To test H0: µ = 80 versus H1: µ < 80, a simple random sample of size n = 22 is obtained from a population that is known to be normally distributed.

(a) If x̄ = 76.9 and s = 8.5, compute the test statistic.

(b) If the researcher decides to test this hypothesis at the α = 0.02 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?

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