Sales CompPrice Income Advertising Population Price Urban Store 1 9.5 120 73 11 276 120 Yes Store 2 11.22 98 16 260 83 Yes Store 3 10.06 108 35 10 269 80 Yes Store 4 7.4 112 100 466 97 Yes Store 5 4.15 136 54 3 340 128 Yes Store 6 10.81 119 113 13 408 72 No Store 7 6.63 110 105 0 45 108 Yes Store 8 11.85 131 81 15 425 120 Yes Store 9 5.54 127 110 0 108 124 No Store 10 4.69 127 113 131 124 No Store 11 11.96 112 94 4 503 94 Yes Store 12 3.98 117 35 2 393 136 Yes Store 13 10.96 110 28 11 29 86 Yes Store 14 11.17 102 117 11 148 118 Yes Store 15 8.71 144 95 5 400 144 No Store 16 7.58 113 32 0 284 110 Yes Store 17 12.29 147 74 13 251 131 Yes Store 18 13.91 105 110 408 68 No Store 19 8.73 124 76 16 58 121 No Store 20 12.13 129 29 12 239 109 No Store 21 5.08 123 46 6 497 138 Yes Store 22 5.87 116 31 292 109 Yes Store 23 10.14 140 119 16 294 113 Yes Store 24 14.9 134 32 0 176 82 No Store 25 8.33 102 115 11 496 131 NoQuestion 3 (36 Marks) Use the shirts data set given in Q2 to answer the following questions a. Test the hypothesis that average population income level of city where the stores are located is less than $78000? Conduct an appropriate test with a significance level of 1%. Show all steps, including clearly stating the assumptions (if any), hypotheses, calculations, and conclusion. (8 Marks) b. Is there a positive rank correlation between the local advertising budget (Advertising variable) and the unit sales (Sales variable)? Conduct an appropiate test with a significance level of 1%. Show all steps, including clearly stating the assumptions (if any), hypotheses, calculations, conclusion (in words) and reasoning. (12 Marks) C. Is there a significant difference in the population standard deviation of the price charged by local competitor (CompPrice) and the price charged by the store (Price) at 5% level of significance? (8 Marks) d. Is the average price charged by local competitor is more than the price charged by the store? (8 Marks) Conduct an appropiate test with a significance level of 1%. Show all steps, including clearly stating the assumptions (if any), hypotheses, calculations and conclusion (in words)