FringeTech is an information technology / electrical engineering company that employs thousands of people Australia wide. Recently management decided to ask employees to carry out a series of three tests based around firm procedures, general knowledge and a general intelligence test. All employees were then awarded a score out of 225.

(Question 6)

Conduct a test to see if there is any difference on the average test performance between employees with and without a higher degree? What does this imply about hiring?

assume significance level - 0.05

Sample data of 150 employees - Can be found here -

https://drive.google.com/file/d/1ssnVGaxsY7ME2TFmxNZuu9ldYismsWzd/view

Test Higher Test Higher Test Higher Degree Degree Degree Employ |Income Resul [Y=1. Gend Employ Income Resul [Y=1. Gend Employ |Income Resul [Y=1. Gend ee # (SOOO) GPA t Age N=01 er ee # ($000) GPA t Age N=0] ee # ($000) GPA t Age N=0] er 1 94.1 3.07 163 21 0 F 26 124.6 2.88 165 47 0 F 51 74.7 2.75 136 28 0 F 59.4 2.82 148 30 F 27 97.6 4 176 33 52 90.3 3.14 153 32 TI 81.7 3.02 142 26 0 28 82.4 3.32 152 30 0 53 82.2 3.04 141 30 1 F 72.1 2.98 173 31 0 F 29 58.2 2.4 74 26 0 F 54 97 3.19 155 33 1 90.1 3.02 168 29 0 F 30 75.5 2.88 129 25 0 F 55 125.3 3.9 179 36 1 F 84.4 3.35 155 39 1 F 31 75.1 2.76 166 35 0 56 111.1 3.17 152 32 0 TI 77.5 2.9 163 29 0 32 70.5 3.1 134 32 0 57 60.4 2.78 129 44 0 124 2.96 194 28 33 83.9 2.91 124 25 0 58 102.7 3.03 155 27 0 LO 71.2 2.67 119 25 0 34 95.5 3.25 169 32 59 2.59 145 32 10 72.1 2.95 124 24 0 TI 150.2 3.61 187 54 0 60 69.4 2.8 113 27 0 17 75.7 3.45 149 29 0 36 84.4 3.26 163 22 0 61 61.6 3.24 142 32 0 TI TI 12 79.8 2.71 171 26 37 88.7 3.12 172 28 62 93.1 2.97 147 28 0 13 76.7 3.07 160 34 0 38 135.4 3.84 195 29 63 87.2 3.14 171 14 65.1 3.37 104 23 0 F 39 72.3 2.63 149 26 0 64 67.7 3.73 139 31 15 83.8 3.01 165 34 40 65.5 2.46 107 27 0 65 130.6 3.21 174 33 16 35.8 3.03 154 32 1 41 80.3 3.2 156 30 0 66 83.2 3.16 143 28 0 F 17 70.6 3.3 122 32 0 42 136.8 3.62 18: 28 67 50.4 2.95 96 34 F 18 93.3 3.19 160 27 0 43 75.8 2.75 133 34 68 132.7 3.71 199 45 19 80. 3.12 148 34 F 44 47.5 2.57 33 36 69 69.1 3.01 143 32 0 20 80.8 2.89 138 28 0 45 86.6 3.36 148 0 70 103.6 3.39 172 39 O 21 85.5 2.86 158 32 0 46 64.4 2.8 127 25 0 71 80.2 2.98 123 31 0 22 62.1 2.91 112 24 0 TI TI TI 47 99.3 3.3 173 27 TI 72 73.9 3.28 146 24 0 23 88.5 3.08 189 28 0 48 40 2.94 95 22 0 73 56.3 2.97 128 21 0 F 24 38.2 3.15 163 30 49 69.1 3.02 139 29 74 130.2 3.69 187 36 25 110.3 3.13 203 25 0 50 107.7 3.17 179 35 0 75 80.7 2.92 138 27 FTest Higher Employ Higher Higher Resul Degree Test Employ Income Test [Y=1. Gend ee Income Resul Degree ee # ($000) GPA [Y=1. Gend Employ |Income Resul Degree t Age N=0] Gend er Number| ($000) GPA t Age [Y=1. N=0] er ee # 76 83.1 ($000) GPA t 2.89 163 Age N=0] 30 er 1 M 101 73.9 2.75 111 28 0 M 77 126 95.4 3.04 46.6 178 3.12 102 22 0 M 0 M 35 102 79.7 2.55 74 24 0 M 78 127 128.2 3.55 73.6 154 2.99 150 26 1 M 19 1 M 103 80.4 3.51 123 25 0 M 79 128 127.3 86.7 2.91 3.38 163 37 1 199 28 0 M M 104 112.3 3.98 182 25 0 M 80 96.8 2.96 129 95.1 164 3.22 170 31 0 28 1 M M 105 88.8 2.76 157 30 0 M 87 130 85.1 94 3.3 30 1 3.31 155 123 26 0 M M 106 95.2 2.94 141 29 0 M 82 125.5 131 3.64 86 201 148 26 3.27 1 31 1 M M 107 97.7 2.85 167 30 0 M 83 107.2 132 51.2 3.25 3.31 104 33 0 205 28 1 M M 108 92.2 3.52 162 21 0 M 133 84 67.8 3.31 132 31 1 92.4 3 135 M 45 0 M 109 78.5 3.02 172 29 0 M 134 85 86.6 90.5 3.04 2.8 123 137 33 34 1 M M 110 72.8 2.59 107 36 1 M 86 84.1 135 103.2 3.09 2.99 151 27 138 1 27 M M 111 89 2.93 149 30 1 M 136 87 98.9 104.9 3.13 3.3 152 28 195 28 0 M 0 M 112 93.5 3.34 182 30 1 M 137 B8 89.3 94.3 168 3.83 3.03 184 33 0 23 0 M M 113 93.1 2.79 112 32 0 M 89 103.1 3.04 138 65.6 165 3.06 109 34 0 27 M 0 M 114 83.1 3.08 135 26 0 M 139 90 119.5 3.24 77.9 3.02 196 126 27 0 29 0 M M 115 79.1 3.31 177 0 M 91 82.7 140 58.5 3 154 34 3.52 123 0 1 M M 116 108.9 4 159 26 0 M 141 92 103.6 109.9 2.73 3.68 176 209 29 0 32 1 M M 117 84.9 2.49 138 33 1 M 93 87.5 142 60.1 2.6 B2 2.79 112 33 0 20 0 M M 118 108 2.92 163 37 M 143 94 134.3 96.8 3. 3.67 154 27 0 173 45 M M 119 83.7 2.72 148 31 0 M 144 95 92.9 3.36 113.1 3.65 187 1 156 32 30 M 0 M 120 116.6 3.92 198 27 M 96 91.4 3.4 145 91.6 149 1 3.05 157 29 1 M M 121 134.5 3.33 173 29 1 M 97 146 86.5 95.6 2.79 3.02 152 150 34 0 0 M M 122 111.4 3.29 152 1 M 147 98 72.6 104.3 3.41 2.88 1 116 179 32 M 0 M 123 91.2 3.36 142 0 M 148 99 99.9 88.2 161 1 3 174 3.45 32 M 28 M 124 87.6 3.12 153 23 0 M 149 100 92.4 3.09 73.5 2.64 141 118 25 0 30 1 M M 125 57.5 3.44 138 26 0 M 150 63.3 |2.97 125 27 0 M