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.  Â
          c)  Doesthere appear to be a significant difference between the number ofstudent visits in the fall and the
               spring?  Explain.
