For Exercises 16.27 and 16.28, see page 16-17; for 16.29 and 16.30, see page 16-19.
16.27 Service and food provided by top 25 spas.
The readers’ poll in Condé Nast Traveler magazine that ranked 100 top resort spas and that was described in Exercise 16.1 also reported scores on service and on food. Here are the scores for a random sample of seven spas that ranked in the top 25.
| Spa | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
| Service | 89.6 | 89.8 | 87.3 | 94.2 | 95.8 | 87.9 | 91.0 |
| Food | 83.1 | 88.1 | 85.8 | 92.9 | 95.7 | 80.7 | 83.6 |
Is service more important than food for a top ranking? Formulate this question in terms of null and alternative hypotheses. Then compute the differences and find the value of the Wilcoxon signed rank statistic, .
16.27
H0: There is no difference in the distribution between service and food scores. Ha: Service scores are systematically higher than food scores. .
spas3