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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. 

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