A man runs 1 mile approximately once per weekend. He records his time over an 18-week period. The individual times and summary statistics are given in Table 2.14.
A man runs 1 mile approximately once per weekend. He records his time over an 18-week period. The individual times and summary statistics are given in Table 2.14.
|
WK |
Time (min)(xi ) |
WK |
Time (min)(xi ) |
|
1 |
12.80 |
10 |
11.57 |
|
2 |
12.20 |
11 |
11.73 |
|
3 |
12.25 |
12 |
12.67 |
|
4 |
12.18 |
13 |
11.92 |
|
5 |
11.53 |
14 |
11.67 |
|
6 |
12.47 |
15 |
11.80 |
|
7 |
12.30 |
16 |
12.33 |
|
8 |
12.08 |
17 |
12.55 |
|
9 |
11.72 |
18 |
11.83 |
2.8 What is the mean 1 mile running time over 18 weeks?
2.9 What is standard deviation of the 1 mile running time over 18 weeks?
2.12 Suppose the man does not run for 6 months over the winter due to snow on the ground. He resumes running once a week in the spring and records a running time = 12.97 minutes in his first week of running in the spring. ls this an outlying value relative to the distribution of running times recorded the previous year in Table 2.14? Why or why not?
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