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Tests2002PL2

# Tests2002PL2 - TC 310 Fall 2002 MODES OF REASONING First...

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3. (12 minutes) This year our TA ran in the Capitol 10K, an annual 10-kilometer (6.2138 mile) run through downtown Austin. Her time was 58 minutes. The average time of timed runners in the race was 60 minutes, with a standard deviation of 12. a. Assuming the distribution of finish times is distributed normally, what percentile was she in terms of her finish time? b. Her goal for next year is to finish in 52 minutes. If she meets the goal, what percentage of runners will beat her? What assumption are you making about the finish times next year, compared to the finish times this year? c. I would like to compare how fast people ran in the Capitol 10K with how fast they ran in the Turkey Trot, a 5-mile run on Thanksgiving Day. If people run at the same rate as they run the Capitol 10K, calculate what you expect will be the average and standard deviation of times in the Turkey Trot. d. Many runners do not time their race results, since obtaining a timing chip adds \$1 to the entry fee. If we could obtain times on all runners in the Capitol 10K, how do you think the mean and standard deviations would differ compared to those for whom times were recorded? If the distribution of recorded times is normal, how would the
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