The following data sets represent simple random samples from a population whose mean is 100. Complete parts (a) through (e) below. Full data set Data Set I 106 Data Set II 106 87 96 Data Set Ill 106 87 96 104 120 120 90 84 120 90 84 82 92 112 83 92 112 83 88 92 126 126 89 99 126 89 99 103 90 90 112 90 112 91 89 75 75 113 75 113 108 114 74 74 99 115 74 99 107 107 123 107 123 94 (a) Compute the sample mean of each data set. Calculate the sample mean for data set 1. x= 98.75 (Type an integer or a decimal.) Calculate the sample mean for data set II. x= 98.85 (Type an integer or a decimal.) Calculate the sample mean for data set III. x=98.833 (Round to three decimal places as needed.) (b) For each data set, construct a 95% confidence interval about the population me Construct a 95% confidence interval for data set L. The lower bound is 82.59. The upper bound is 114.91 (Round to two decimal places as needed.) Construct a 95% confidence interval for data set II. The lower bound is 91.62 The upper bound is 106.08. (Round to two decimal places as needed.) Construct a 95% confidence interval for data set Ill The lower bound is. The upper bound in