iQ7c The test statistic is 24 The sample size that should

iQ7c

- The test statistic is 24.

- The sample size that should be used in the test is 24.

- The test statistic is 7.

- The test statistic is 6.

- The test statistic is 5.

- The test statistic is 22.

- The test statistic is 15.

- The sample size that should be used in the test is 2.

- The sample size that should be used in the test is 22.

In some literature, a coach company claims that the median journey time for its services between Bristol and Aberdeen is 13 hours. A couple of regular passengers are interested in whether or not this claim is correct. To test this they timed how long the journey took on some of the occasions they made the trip. For a total of 24 trips between Bristol and Aberdeen, they found that 15 of the trips were shorter than 13 hours, 7 of the trips took longer than 13 hours and 2 of the trips took exactly 13 hours. Suppose a sign test is carried out to test the hypothesis that the median journey time is 13 hours. Select the TWO statements which are TRUE.

Solution

The test statistic of a sign test is the smaller of the number of positive and negative signs. Thus the test statistic is 7.

The sample size is the number of matched pairs that is 15 positive signs+7 negative signs=22

The zero differences are cancelled.