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1) Test of two means. You should select a hypothesis you are interested in testing and then use a test of two means to test this hypothesis. For example, you may be interested in testing whether the GPA of females is higher than that of males in that class. One is going to draw the inference by using a random sample with replacement of size 25 from each group. Report the p-value of the test. Perform the test using a significance level a = .05. Use graphical methods to present the two populations of interest.

Data

Sex Height Weight GPA LArm RArm LFoot RFoot Smoker
0 67 125 2.4 25.5 25.5 27.2 27 N
1 68 140 2.81 23 23 23 23 N
1 67 142 2.8 26 27 22 22 N
1 60 110 3.6 24 24 24 24.5 S
1 64 97 2.5 24 24 21 21 S
1 61 106 3.85 21.5 21.5 22 22 N
0 79 210 3.33 30.5 30.5 28 28 N
1 61 110 1.94 23.5 22.5 21.5 21 N
0 71 150 3.46 26 26 29 28 N
1 66 145 2.56 24 25 24 25 N
1 59.5 113 3.33 21 23 20 22 S
0 71 175 2.8 27 27 27.5 26 N
0 72 145 2.85 25.5 25 28 28 N
1 55 110 * 24 23 22 23.5 S
1 64 112 3.59 23 23.5 23 23.5 S
1 65 135 3.33 22 23 21 20 S
1 65 135 3.25 23 23 26 27 N
1 71 140 3.63 27 27 25 25 N
1 68 130 3.7 25 25 24 25 N
0 71 152 2.8 25.4 27.9 27.9 27.9 N
1 67 127 3.13 25.5 25.5 24.5 24.5 N
0 70 143 3.53 26.5 27 26.3 26.3 N
1 68 165 2.13 24.5 24.5 24.5 25.5 S
0 72 160 2.5 25 26 28.5 29 S
0 71 185 3 28 27 29 27 N
1 65 114 2.5 25.4 25 24.7 24.5 N
1 67 116 3.33 23 24.5 22.5 23 N
1 66 113 3.3 25.5 26 25.3 25.5 N
1 63 145 2.4 21 22 24 25 S
1 62 116 3.3 25 25 27 25 S
0 70.5 155 2.53 25.5 28 26 25.5 S
1 64 107 3.24 24.5 24 23.5 24.5 S
1 64 104 3.4 24.5 24.1 22.5 22.8 N
1 69 137 2.6 23.5 23.5 24 24.5 N
0 75 200 3.1 31 28 28 29 S
0 65 150 2.89 25 25 23.5 23 N
1 67 140 3.1 25.5 25 25 25.5 N
1 65 125 * 23.5 23 24 23.5 N
0 75 240 2.7 27 27.5 31 32 S
1 57 140 3.16 22 24 25.5 24.3 S
0 68 135 3 23.5 25.5 25 25 S
0 73 178 2.3 26 25 29 29.5 N
1 68 122 1.89 24.5 24.6 24.3 24.5 N
1 62 145 2 23.4 23.5 23.8 24 N
0 68 190 2.9 25 25 25 25.5 N
0 73.5 180 3.33 26.2 26.5 26.2 26.5 N
1 63 125 2 27.5 27.5 22.5 22.5 N
0 72.5 165 2.5 24.8 24.5 28 27.5 N
1 66 115 2 27 27.5 22.5 23.5 N
1 68 125 3.91 25.5 25 25.5 25 S
0 72 210 2.8 26.5 26.5 28.5 28.5 N
1 63 118 3.63 23 23 24 23 N
1 65 135 3 22.5 23 22.9 23.2 N
0 75 225 1.24 24.5 24.5 30 30 N
1 69 145 3.31 25.5 26.5 25.5 25.5 N
1 72 240 3.78 28 28 26.2 25.7 N
1 69 170 3.1 27 26.5 28 28.5 N
1 62 105 2.8 23 22 24 23 N
1 64 125 3.4 24 23.5 23.5 23.5 N
1 62.5 130 3.1 22.5 22 23.5 24.5 N
0 78 190 3 30 29.5 31.5 32 N
1 63 115 2.8 22 22.5 21 22 N
0 73 280 2.1 26.5 26.5 26 26 S
1 69 125 3.72 24.5 24.5 24.5 24.5 N
1 62.5 120 2.17 24 24 23 23.5 N
1 63 145 2.65 22.5 21 22.8 22.5 S
1 63 132 3.48 22.5 22 24.5 23 S
0 69.5 195 3.1 27 27 27 27 N
0 69 168 2.5 25 25 23 23 N
1 70 * 1.5 29 29 29 29 N
1 60.5 105 2.17 20.5 21 23 22.5 S
1 65 112 3.31 21.5 22 22 23.5 S
0 72 215 2.84 26.5 26.5 27.5 27.2 N
1 69 150 2.98 29 29 28.5 28.7 N
1 70 150 2.56 26.7 25.4 26.7 25.4 N
1 67 125 3.23 23 25 25 23 S
1 64 135 3.67 23.5 24 22 22.6 N
0 70 185 2.3 25 26 25.5 26 S
1 71 127 2.8 25.5 28 25.5 28 S
0 72 178 2.7 25.5 28 29.5 29.7 S
1 66 123 2.49 25.5 25.5 24 25.5 N
0 65.5 145 3.55 26 25 27 27 S
1 71 135 3 25.5 28 25.5 28 N
0 68 135 2.4 27 27 27 27 S
0 66.5 145 3.61 27 27 27 27 N
1 67 145 3.2 26.1 27.7 24.9 25.4 N
0 69 193 2.95 28 28 27.2 27.8 N
1 66 125 3.23 24 24.5 24 24.5 S
0 71 148 2.5 28 28.5 28 27 N
1 65 125 2.8 25 25 22 23 S
1 62 120 3.55 26 26 23 23 N
1 65 119 2.9 24 26 23 23 S
1 68 160 3.35 26.5 26.5 23.5 22.5 N
1 67 140 3.74 23.3 24 24.5 23.5 S
1 62.5 115 2.5 24 24 24 24 N
1 64 125 3.76 23.4 23.4 23.4 23.5 N
1 61 95 3.15 22.2 22.2 22 22.2 N
1 62 126 3.33 24.6 23.9 23.5 23.8 S
1 62.5 165 2.5 24.9 25.5 23.9 23.7 N
0 70 167 2.6 27 27 26 26 S
0 73 250 2.9 26 26 29 29.5 N
0 73.5 280 3.54 26 28.5 29 30 S
0 79 180 2.6 30.5 30.5 32 32 N
0 71 175 3.48 29 28 28 30.5 S
1 63 120 3 27 27 27 27 S
0 72.5 125 3 27 27 28 28 N
0 69.5 156 3.45 26 26 24 24 S
0 75 185 2.9 30 30 30 30 N
1 62 130 2.33 23.5 23.5 23.5 23 N
0 67 140 1.96 26 26.5 26.5 27 N
1 64.5 120 3.62 22.5 21.5 23.3 23 N
1 66 140 2.9 25.5 25.5 23 23 S
0 69 155 2.5 25 25.5 25.5 25.5 N
1 60 105 2.82 21.5 20.5 19.5 20.5 N
1 67 125 3 25.5 25.5 22 23 N
1 65 115 3.7 25.5 26.5 23 21 N
1 66 130 3.37 24.5 25 22.5 22.5 N
0 69 170 3.5 28 26 25 26 N
0 73 247 2.57 27.2 25.9 27.2 25.9 N
0 73.5 172 3.43 25.5 25.5 26.5 26.5 N
0 65 147 3.69 24 25 24 25.5 N
1 67 * 3.48 23 23 23 23 N
1 67.5 * 3.1 24 26 26 24 N
1 62 140 2.58 22.5 22.5 23 23 S
1 64 120 3.35 23.5 23.5 22 22 S
1 63 110 3.66 26 26 24 24 S
1 65 115 3.81 25.5 25.5 23.5 23.5 N
1 61 115 3.5 25 24 23.5 24 N
0 73 165 2.2 30 29 23.5 24 N
0 74 180 3.6 29 31 28 28 N
0 72 182 2.89 27 27 27.5 28.5 N
1 65 130 3.89 25.5 26 23 22.5 N
0 73 160 3.78 23 23 28.5 27.5 N
0 74 190 2.3 28 27 29 30 N
0 75 180 2.67 29.5 29.5 29 29 N
1 70 165 3 29 29 26.5 26.5 N
1 62 140 2.8 22 22 24 24 N
0 68 165 3.53 26 28 27.5 27.5 S
1 57 125 2.6 23 23 23 23 S
0 72 160 3.2 28.5 28 26.5 27.5 N
1 66 128 3.54 24.5 25.5 24.5 24 N
1 65 115 3.32 24 24 24 23.5 N
1 63 135 3.27 24.5 25.5 25 25 N
1 66 118 2.9 23.5 22.9 22.9 24.1 N
1 74 130 2.5 22.9 22.9 21.6 20.3 N
1 64 130 3.17 25.4 25.4 24.1 22.9 S
1 67 140 2.79 25.4 26.7 25.4 24.1 S
0 71 174 3.67 25.4 26.7 26.7 26.7 N
1 60 118 3.34 23 23 20.5 21.5 N
1 64.5 133 3.13 24.5 24.5 25 25.5 N
1 61.5 107 3.49 23 23 23 24 N
1 64 145 2.58 24 25 23 23 S
0 66 150 2.89 24 25 25.5 26 N
1 70.5 165 * 28 28 28 28 N
1 69 143 2.9 25 25 25 24.5 N
1 70 155 3.14 25.5 26.5 27 26.5 S
1 64 138 3.69 23.5 23.5 24 23.5 N
1 62 147 2.9 23.5 23.5 21.5 23 N
0 77 245 2.91 24 26 29 29.5 S
1 62 130 3.2 22.5 23 21.5 21 N
1 69 135 2.47 24.5 24.5 25.5 26 S
0 70 150 2.98 29 29 27 28 N
0 71 135 1.9 25.5 26 25.8 26.8 N
0 71.5 160 3.2 28.6 28.1 27.4 28.5 S
1 67.5 110 3.9 28 28.5 24.5 25 N
0 69 155 2.7 25.5 25.5 27 26.5 S
1 63 96 2.93 23 23 22 22 N
1 65 140 3.4 25 24 23 25.5 S
1 66.5 120 3.33 24 24 24 22 N
1 67 130 3.3 26.5 26.5 23 22 S
0 73 155 3 26.5 27 27 26.5 N
1 63 105 3.56 25 26.5 24 23 N
0 73 160 2.55 26.5 27 27 27.5 N
1 63 112 3 23 24 23 22 S
1 68 125 3.39 25 25 25 24.5 N
1 69 132 3.1 25.5 25.5 25 25 N
1 69 175 3 23.5 26 27 25.5 N
1 63 150 2.9 24 24 23.5 24 N
1 64 105 3.62 21 23 22.3 22 N
1 69 135 * 28 25.5 26.5 26 N
1 63 134 2.8 24 23.5 24 23.5 S
1 64 115 2.75 24 23 23 22 N
1 63 123 2.4 24 24 24 23.5 N
1 67 170 3.28 28 27.5 24.5 24.5 N
0 71 162 3.9 23.5 23 27 27.5 N
1 68 140 3.65 24.5 22.8 24.7 24.5 S
1 64 115 2.67 24 24.5 24.7 24.3 N
0 73 205 3.1 29 29 27.5 27.5 N
1 67.5 130 3 24 23.5 26 24.5 S
1 67 145 1.83 24.6 24.3 26 26.3 N
1 60.5 125 2.7 24.1 24.1 24.4 23.9 S
0 69 180 3.86 25.5 25.5 29 29 N
1 65.5 135 3.52 24.5 25 24 24 S
1 64 140 2.1 25 24.5 22.5 22.5 N
0 76 185 3 28 27 30 30 S
1 64 135 3.4 25 24.5 23 22.5 N
1 63 127 3.3 22 22 24 25 N
1 62 115 2.17 23.5 24 22.7 23 N
1 62 135 * 25 25 22.8 23 N
1 70.5 142 3.58 24.5 25 26 26.5 N
1 67 140 3.44 24 24.5 25 24.5 S
1 68 135 2.2 24 24 25.5 25.5 S
0 71 178 3.2 29.5 28.5 29 28.5 N
1 67 135 * 25 25 25.5 25 N
1 64 127 2.2 26.5 26.5 26.5 26.5 N
1 70 153 3.17 22 22 23.5 23.5 N
1 62 110 3.44 21.5 21.5 23.5 22.5 S
0 73 165 3.62 28 28.4 30.6 31.4 N
0 79 165 2.45 28 25 29 27.5 N
0 75 160 3.8 27.5 27.5 29 27.6 N
0 71 170 3.2 28 27 31 31.3 S
1 65 117 2.7 24.1 24.1 24.1 24.1 N
0 69.5 185 3.2 26.5 27 27 27 N

Statistics and Probability, Statistics

  • Category:- Statistics and Probability
  • Reference No.:- M91016476

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