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          A tutoring center collected data on the number of student visits during each of the first eight...

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Question

Statistics

          Atutoring center collected data on the number of student visitsduring each of the first eight weeks of the

          falland spring semesters.  The results are givenbelow.  (Assume that the paired sample data aresimple

          randomsamples and that the differences have a distribution that isapproximately normal.)

Week

1st

2nd

3rd

4th

5th

6th

7th

8th

Fall Semester

45

45

53

81

59

84

96

45

Spring Semester

19

48

19

57

28

37

58

59

a)  Construct and interpretthe 95% confidence interval estimate of the mean of the populationof differences between the number of students visiting the tutoringcenter in the fall and spring semesters.   

          c)  Doesthere appear to be a significant difference between the number ofstudent visits in the fall and the

               spring?  Explain.

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