QUESTION 1 [19] Consider a population given in Table 1 on page 2. 1. Find the population mean and variance. [4] 2. A list of measurements given below a simple random sample drawn from this population. 58 64 54 68 64 60 53 81 53 55 52 42 66 42 63 42. Use this data set to estimate a. population mean and variance (4) b. E(Y) and var(Y) , assuming the population variance is known. (4) C. var(Y) , assuming the population variance is unknown. (3 ) d. 95% confidence interval for the mean assume as in b and c (4) Scanned with CamScanner Table 1: The table below presents the population values S No Value S No Value S No Value S NO Value 31 21 51 41 55 61 47 2 62 22 52 42 52 62 58 3 58 23 42 43 67 53 73 63 24 42 44 44 64 58 5 70 25 50 45 64 65 51 6 70 26 82 46 60 66 54 7 47 27 50 47 77 67 70 8 58 28 52 48 65 68 42 62 29 50 49 55 59 37 10 54 30 62 50 51 70 89 11 75 31 68 51 47 71 66 12 79 32 32 52 62 72 58 13 77 33 56 53 79 73 55 14 54 34 51 54 72 74 64 15 64 35 42 55 60 75 66 16 53 36 47 56 64 76 56 17 34 37 63 57 62 77 53 18 65 38 53 58 43 78 74 19 62 39 40 59 68 79 57 20 81 40 45 60 63 80 50 LOUDLY SOUTH AFRICAN Finding Solutions for Africa