X [MAT-152-761 KR 2022SU] St... You wish to test the following claim (Ha) at a significance level of a = 0.02. Ho: u = 82.1 Ha: M > 82.1 You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: 51.6 90.6 77.2 83.1 92.5 75.6 57.6 103.3 98.3 106.4 96.6 102.6 90.1 99.5 64.7 115.2 103.3 60.4 79.8 121.2 86.4 73.3 65.6 68 60.4 89.7 95.1 100.1 88.3 100.1 92. 1 84.5 43.4 116.8 56 90.1 63.7 51.6 43.4 81.2 82.2 90.6 82.2 59.1 85 95.1 92.5 91.6 100.7 83.1 87.3 85.5 129.4 77.2 85.9 100.7 85.5 109.1 62.7 85.9 What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.)