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