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A study was conducted on the average commuting distance of students at Surry Community College. The study found that the first sample of thirty students has an average commute of 23.1 miles with a sample standard deviation of 12.47 miles. The commuting mileages for a second sample of 30 students are below.
20 |
34 |
20 |
20 |
15 |
16 |
19 |
3 |
1 |
15 |
12 |
18 |
15 |
13 |
1 |
12 |
8 |
11 |
20 |
10 |
7 |
13 |
13 |
32 |
7 |
4 |
63 |
18 |
24 |
6 |
A. Find the
B. Find the
C. Explain why the average for the second sample is a better representation of the population of students commuting to SCC. Which statistic from above proves this is the better value?
D. Use Chebyshev’s Theorem to find the smallest interval centered on the mean that contains at least 88.9% of the data values for the second sample. Then determine the actual percentage of data contained with the interval.
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