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A small pilot study is run to compare a new drug for chronic pain to one...

A small pilot study is run to compare a new drug for chronic pain to one that is currently available. Participants are randomly assigned to receive either the new drug or the currently available drug and report improvement in pain on a 5-point ordinal scale. 1 = Pain is much worse, 2 = Pain is slightly worse, 3 = No change, 4= Pain improved slightly, 5 = Pain much improved.Use the Mann-Whitney U test to determine if the new drug is significantly better in improvement in pain with a 5% level of significance (i.e. one-sided).

New Drug: 2 4 1 3 5 2 5

Standard Drug: 2 3 1 1 4 3 5

9. What is the Critical Value

10. Define Group 1 to be those who received the New Drug. What is R1?

11. Define Group 2 to be those who received the Standard Drug. What is R2?

12. What is U1?

13. What is U2?

14. True or False: Reject the null hypothesis as the test statistic is less than the critical value.

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