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To test H0: mean = 80 vs. H1: mean < 80, a simple random sample of...

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

(a) If x-hat = 76.9 and s = 8.5 compute the test statistic

(b) If the researcher decides to test the hypothesis at the a = 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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