1. You are given cholesterol levels of 13 men and 12 women as below. Use Wilcoxan Rank-Sum Test.
a. Sort 25 numbers and rank them from smallest to largest, and fill up the ranks in the table.
|
Male
|
Rank
|
Female
|
Rank
|
|
522
|
|
264
|
|
|
127
|
|
181
|
|
|
740
|
|
267
|
|
|
49
|
|
384
|
|
|
230
|
|
98
|
|
|
316
|
|
62
|
|
|
590
|
|
126
|
|
|
466
|
|
89
|
|
|
121
|
|
531
|
|
|
578
|
|
130
|
|
|
78
|
|
175
|
|
|
265
|
|
44
|
|
|
250
|
|
|
|
|
n1=
R1=
|
n2=
R2=
|
b. Find µR and σR.
c. Calculate test statistic z.
d. Test the claim that the two populations of men and women have different median cholesterol levels. Can you support the claim? Hint: find Ho and H1, two tailed test? Critical values from Table A-2. Use traditional method with a =0.05.