Business students taking statistics at Colonel Samuel College believe that the mean score on a first statistics test is at most 68. An instructor, intending to prove that the mean score is higher, randomly samples 13 statistics students and obtains the following scores: 619 73.5 74.4 70.5 68.4 70.5 62.7 69.2 63.9 85.5 61.9 75.6 64.3 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, H, or H.: # 2 68 # 68 # # 68 OH > 68 # 5 68 B. Calculate the sample mean: 69408 C. Calculate the estimated standard error of the sample mean: 19.250 X D. Calculate the test statisticst = 3.532 E. State the critical value at a = 0.01: 0.500 X