Question
A restaurant wondered if there was a difference in the number of refills of soda ordered...
A restaurant wondered if there was a difference in the number of refills of soda ordered by those aged 18-24 (age = 0) and those aged 13-17 (age = 1). Use the Mann-Whitney U-test to determine if the distribution of soda refills is significantly different for the two groups.
| ID | Age Group | Sex | Number of Refills |
| 1 | 1 | 0 | 0 |
| 2 | 1 | 0 | 0 |
| 3 | 0 | 0 | 2 |
| 4 | 0 | 0 | 2 |
| 5 | 0 | 0 | 0 |
| 6 | 1 | 1 | 0 |
| 7 | 1 | 0 | 2 |
| 8 | 1 | 0 | 2 |
| 9 | 0 | 0 | 1 |
| 10 | 0 | 0 | 1 |
| 11 | 0 | 1 | 3 |
| 12 | 1 | 1 | 2 |
| 13 | 1 | 1 | 1 |
| 14 | 1 | 1 | 3 |
| 15 | 1 | 1 | 0 |
| 16 | 1 | 1 | 0 |
| 17 | 0 | 1 | 0 |
| 18 | 0 | 0 | 2 |
Homework Answers
Answer #1
The null and alternative hypothesis is
H0: The distribution of soda refills is not significantly different for the two groups
H1: The distribution of soda refills is not significantly different for the two groups.
The value of Mann-Whitney U-test statistic is 32.000
The p-value is 0.454
Conclusion: The p-value of Mann-Whitney U-test is 0.454. This p-value is greater than 0.05. Hence we accept null hypothesis at 5% level of significance and conclude that the distribution of soda refills is not significantly different for the two groups.
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