A sample of 40 grades from a statewide examination is shown in Table 17.5. Test the hypothesis at the 0.05 significance level that the median grade for all participants is (a) 66 and (b) 75. Work the problem first by hand, supplying all the details for the sign test. Follow this with the MINITAB solution to the problem. 71 67 55 6482 66 74 58 79 61 78 46 84 9372 54 78 86 48 52 6795 70 4370 73 57 64 60 83 73 40 78 70 64 86 76 62 95 66