The P-value for top spas. Refer to Exercises 1 and w. Find μ_{W}, σ_{W}, and the standardized rank sum statistic. Then give an approximate P-value using the Normal approximation with the continuity correction. What do you conclude?

**Exercises 1**

Hypotheses and test statistic for top spas. Refer to Exercise 2. State appropriate null and alternative hypotheses for this setting and calculate the value of W, the test statistic.

**Exercise 2**

Numbers of rooms in top spas. A report of a readers' poll in Condé Nast Traveler magazine ranked 36 top resort spas. Let Group A be the top-ranked 18 spas, and let Group B be the next 18 rated spas in the list. A simple random sample of size 5 was taken from each group, and the number of rooms in each selected spa was recorded. Here are the data:

Group A |
552 |
448 |
68 |
243 |
30 |

Group B |
329 |
780 |
560 |
540 |
240 |

Rank all the observations together and make a list of the ranks for Group A and Group B.

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