Runs Sofia Emma Jennifer Lisa Eloise Nadya Solveig Thara Nitya Maiya You are a track and field coach and are looking to find elite marathon runners who could compete in the Olympics

1 72 113 90 95 129 111 122 85 163 160 To find you elite athlete, you decide to look at the run data over the last 20 runs for 10 runners.

2 117 155 174 105 167 169 129 123 109 165 You've been able to collect run times (in mins) for each of the 10 runners.

3 163 124 159 176 120 66 135 122 146 144 Is there a statistically significant difference between the runners so you can identify which one of them could be your elite athlete?

4 159 89 135 171 139 146 148 88 100 65

5 138 110 150 69 175 86 83 74 68 62 Questions Answer

6 175 90 102 85 77 155 85 78 161 145 One or two tail?

7 161 129 84 80 133 144 143 178 71 150 Null Hypothesis?

8 136 65 133 82 97 115 136 74 151 60 Alternative Hypothesis?

9 161 129 161 169 124 90 74 110 137 110

10 154 132 98 162 111 111 141 111 138 138 Significance level is?

11 174 133 169 177 102 120 172 91 77 129 z test or t test or ANOVA?

12 115 73 81 156 106 63 91 173 142 93 P value?

13 140 101 73 134 96 179 149 159 87 82 Reject or fail to reject?

14 92 178 127 175 83 65 102 148 124 165 State the conclusion

15 161 114 180 143 175 133 163 172 100 102

16 91 175 163 124 140 67 137 76 109 139

17 104 77 171 134 82 149 67 105 163 75

18 113 179 86 170 151 122 120 110 154 144

19 73 131 75 136 87 106 64 113 166 120

20 127 140 166 121 99 167 101 174 135 106