In order to determine whether the median distance for the X-Special golf ball exceeds the median distance for the best-selling golf ball, six golfers were selected and asked to hit each ball with their driver. The distance was recorded.
The following data were observed.
Golfer X-Special Best Seller
1 240 233
2 267 270
3 255 240
4 234 230
5 250 260
6 285 270
Based on these, the appropriate test is the Kruskal-Wallis one-way analysis of variance.
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Q. 2The Wilcoxon Matched-Pairs Signed rank test is an alternative to the paired sample t-test when we are unwilling to assume that the populations are normally distributed.
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Q. 3If a decision maker wishes to test to determine whether the medians are equal for two populations the Mann-Whitney U test is appropriate for either independent or dependent sampling situations.
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Q. 4A large sample Mann-Whitney U test should be used when the sample sizes exceed 20.
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Q. 5In conducting a Mann-Whitney U test when the sample size is greater than 20, the U test statistic can be assumed normally distributed.
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Q. 6Recently, a study was done to determine whether the median speed on a section of highway is the same for cars versus trucks. A sample of 12 cars (n1 = 12 ) and 15 trucks (n2 = 15 ) was collected.
If the Mann-Whitney U test is to be performed using an alpha = .05, the test critical U value is 49. Indicate whether the statement is true or false
Q. 7A claim was recently made that stated that the median income for male and female graduates is the same for those graduating with a degree in operations management. The following sample data were collected:
Males Females
42,000 39,000
36,000 39,000
40,000 41,000
32,000 42,000
50,000 44,000
47,000 38,000
47,000 51,000
In employing the Mann-Whitney U test, the sum of the ranks for the males is 53.5
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