For the racing experience data in Exercise 3.22, estimate the standard deviation by dividi...

For the racing experience data in Exercise 3.22, estimate the standard deviation by dividing the range by 4. How close is this estimate to the value you calculated in Exercise 3.22? Repeat this exercise for the data in Exercise 3.23.

Exercise 3.22

Pushing economy and wheelchair propulsion technique were examined for eight wheelchair racers on a motorized treadmill in a paper by Goosey and Campbell [Adapted Physical Activity Quarterly (1998) 15 :36- 50]. The eight racers had the following years of racing experience:

Racing experience (years): 6, 3, 10, 4, 4, 2, 4, 7

a. Verify that the mean years’ experience is 5 years. Does this value appear to adequately represent the center of the data set?

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b. Verify that

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c. Calculate the sample variance and standard deviation for the experience data. How would you interpret the value of the standard deviation relative to the sample mean?

Exercise 3.23

In the study described in Exercise 3.22; the researchers also recorded the ages of the eight racers.

Age (years): 39, 38, 31, 26, 18, 36, 20, 31

a. Calculate the sample standard deviation of the eight racers’ ages.

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b. Why would you expect the standard deviation of the racers’ ages to be larger than the standard deviation of their years of experience?