Question: To test H0: = 40 versus H1: 7 40, a simple random sample of size n = 25 is obtained from a population

To test H0: µ = 40 versus H1: µ 7 40, a simple random sample of size n = 25 is obtained from a population that is known to be normally distributed.

(a) If x̄ = 42.3 and s = 4.3, compute the test statistic.

(b) If the researcher decides to test this hypothesis at the α = 0.1 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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