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In: Statistics and Probability

For the data below perform a Wilcoxon Rank-Sum Test by-hand showing all steps (you may verify...

For the data below perform a Wilcoxon Rank-Sum Test by-hand showing all steps (you may verify your results using software if you want to but it’s not required). 
Two treatments were developed for asthma patients. Twelve patients were randomly assigned to one of Treatment A or Treatment B (six patients on each treatment). The response variable is the number of days that the patients were symptom free after using their assigned treatments for a week. Test to see if Treatment A has a distribution that is shifted to the right (i.e. tends to have larger values) than Treatment B. 
Show all steps of your test and use 5% level of significance.

Treatment A 2 8 7 14 10 11
Treatment B 4 13 9 3 15 6

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