Question

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

          fall and spring semesters.  The results are given below.  (Assume that the paired sample data are simple

          random samples and that the differences have a distribution that is approximately 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 interpret the 95% confidence interval estimate of the mean of the population of differences between the number of students visiting the tutoring center in the fall and spring semesters.   

          c)  Does there appear to be a significant difference between the number of student visits in the fall and the

               spring?  Explain.

Answer 1

ANS.

Student	Fall	Spring	d=Fall - Spring	d2
1	45	19	26	676
2	45	48	-3	9
3	53	19	34	1156
4	81	57	24	576
5	59	28	31	961
6	84	37	47	2209
7	96	58	38	1444
8	45	59	-14	196
SUM =			183	7227