Statistics students believe that the mean score on the first statistics test is 75.5. A statistics instructor thinks the mean score is less than 75.5. He samples 15 statistics students and obtains the scores shown below. He performs a hypothesis test using a 0.05 level of significance. The data are assumed to be from a normal distribution. 71 74 73 78 75 79 70 66 76 77 72 65 67 68 69 Round answers to 4 decimals where possible. Step (1) Determine the null and alternative hypotheses. Ho : μ = Ha: 2 Step (2) Determine the test statistic and p-value. Test Statistic: ?v= p-value = Step (3) Find the critical value for the rejection region ?v

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