The P-value for top spas. Refer to Exercises 1 and w. Find μW, σW, 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.