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