MBALN 603 Statistics Examination 2 Guidelines One Word file should be used to submit the full assignment. If you make calculations in Excel and import the tables, be sure that the full table appears on the same page of your document. Your file should be named: SE2 Lastname Firstname Use the Harvard referencing system throughout the report. Part 1 Keywords:Confidence Intervals for Means, Normal distribution, t-student distribution Exercise 1. (5 points) For the following data set 114 112 131 131 104 128 138 112 113 129 115 127 117 140 123 107 126 134 128 121 122 111 129 115 133 137 110 130 109 108 123 132 114 141 115 103 126 108 114 139 121 102 Table 1: Data set Exercise 1 Construct a 1. 90% confidence interval for the population mean; 2. 95% confidence interval for the population mean; 3. 99% confidence interval for the population mean; 4. What assumption do you need to make about the population of interest to construct the confidence intervals ? Exercise 2. (5 points) For the following data set 136 131 130 137 141 135 132 133 137 138 136 141 145 136 134 139 Table 2: Data set Exercise 2 Construct a 1 1. 90% confidence interval for the population mean; 2. 95% confidence interval for the population mean; 3. 99% confidence interval for the population mean; 4. What assumption do you need to make about the population of interest to construct the confidence intervals Exercise 3. (5 points) Two boxes, A and B contain equal numbers of balls (black and white). A sample of 100 balls selected with replacement from each of the boxes revealed 52 white balls form box A and 44 white balls from box B. 1. Test the hypothesis that the two boxes have equal ratio of white balls, using a significance level of 0.05 2. Test the hypothesis that box A has greater ratio of white balls than box B, using a significance level of 0.05 Exercise 4. (5 points) Consider the sample data for grades A, B, C & D of four different classes, which are tabulated in table 3. Test whether the four means are equal at the 0.05 level of significance. Perform a test that will compare all 4 means at once. We are not interested in pair-wise comparisons at this stage. Please show all the steps in your calculations. Table 3: Data 80 81 83 79 80 83 65 76 92 65 81 74 65 34 34 45 57 61 71 69 71 59 81 67 72 75 81 80 36 55 83 67 91 94 73 51 98 set Exercise 4 83 78 72 79 80 80 81 98 87 57 68 81 68 71 78 91 51 46 66 72 63 82 61 52 64 74 78 2 \f\f