F Decision.A Fail to reject the null hypothesis B Reject the null hypothesis

Business students taking statistics at Colonel Samuel College believe that the mean score on a first statistics test is at most 66. An instructor, intending to prove that the mean score is higher, randomly samples 13 statistics students and obtains the following scores: 96 66.5 70.5 85.5 61.9 70.5 75.6 83.2 64.3 73.5 70.5 61.9 70.5 Download CSV Test grades are believed to be normally distributed. Use a significance level of 1%. Round answers to at least 3 decimal places. A. Select the appropriate alternative hypothesis, H1 or Ha : Ou 66 Ou > 66 Ou = 66 B. Calculate the sample mean: C. Calculate the estimated standard error of the sample mean: D. Calculate the test statistic: t = E. State the critical value at a = 0.01