Ten kilometer fun walk fall 2003 Name |
Duration/minutes |
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Daniel S. |
43 |
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Elvis |
57 |
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Lee Ling |
73 |
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Israel |
79 |
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Aloka |
79 |
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Paul |
86 |
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Joshua |
94 |
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Branson |
98 |
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Tosiwo |
98 |
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LJ |
101 |
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Jake |
105 |
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Penina |
105 |
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Charles |
111 |
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Emmanuel |
111 |
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Edwin |
113 |
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Ermine |
115 |
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Dalina |
117 |
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Daniel M. |
118 |
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ratio |
1. Determine the level of measurement of the data. |
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18 |
2. Determine the sample size n. |
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43 |
3. Determine the minimum. |
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118 |
4. Determine the maximum. |
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75 |
5. Determine the range. |
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There is no mode |
6. Determine the mode. |
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99.5 |
7. Determine the median. |
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94.61 |
8. Determine the mean x. |
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21.32 |
9. Determine the standard deviation sx. |
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0.23 |
10. Determine the coefficient of variation. |
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15 |
11. Determine the bin width. Use 5 bins. |
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12. Fill in the following table with the bin upper limits in the first column, the frequencies in the second column, and the relative frequencies in the third column. |
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Bins |
Frequency |
Relative Frequency f/n |
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58 |
2 |
0.11 |
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73 |
1 |
0.06 |
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88 |
3 |
0.17 |
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103 |
4 |
0.22 |
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118 |
8 |
0.44 |
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Sums: |
18 |
1 |
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13. Sketch the relative frequency histogram. |
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14. What is the shape of the distribution? |
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15. Calculate the 95% cconfidence interval for the population mean duration: |
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tc |
2.11 |
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Error E |
10.6 |
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84.01 |
≤ μ ≤ |
105.21 |
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P( __ ≤ μ ≤ __ ) = 0.95 |
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16. The college had last hosted a 10k in 1996. In 1996 the mean duration was 103 minutes (1.7 hours). Does our confidence interval include 103 minutes? |
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17. Consider the following hypothesis test: |
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H0: μ = 103 minutes |
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H1: μ ≠ 103 minutes |
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Do we «fail to reject the null hypothesis» or «reject the null hypothesis»? |
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-1.67 |
t |
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0.11 |
18. Determine the p-value. |
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