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.