Problem 2BSC

Identifying SignsFor the sign test described in Exercise,identify the number of positive signs, the number of negative signs, the number of ties, the sample size n that is used for the sign test, and the value of the test statistic.

Exercise

Sign Test for Freshman 15The table below lists some of the weights from Data Set 4 in Appendix B. Those weights were measured from college students in September and later in April of their freshman year. Assume that we plan to use the sign test to test the claim of no difference between September weights and April weights. What requirements must be satisfied for this test? Is there any requirement that the populations must have a normal distribution or any other specific distribution? In what sense is this sign test a “distribution-free test”?

Solution 2BSC

From the given problem the following information is obtained

September Weight 67 53 64 74 67 70 55 74 62 57

April Weight 66 52 68 77 67 71 60 82 65 58

Sign of difference + + - - 0 - - - - -

Thus the number of positive signs = 2

Number of negative...