Estimate the population average difference


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Q: A study is conducted to estimate the average difference in bus ridership for a large city during the morning and afternoon rush hours. The transit authority's researcher randomly selects nine buses because of the variety of routes they represent. On a given day the number of riders on each bus is counted at 7:45 A.M. and at 4:45 P.M., with the following results.

Bus

Morning

Afternoon

1

43

41

2

51

49

3

37

44

4

24

32

5

47

46

6

44

42

7

50

47

8

55

51

9

46

49

Use the data to compute a 90% confidence interval to estimate the population average difference. Assume ridership is normally distributed

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Basic Statistics: Estimate the population average difference
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