SOLUTION: a study of postoperative pain relief is conducted to determine if drug A has a significantly longer duration of pain relief than drug B. Observations of the hours of pain relief ar

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Question 479428: a study of postoperative pain relief is conducted to determine if drug A has a significantly longer duration of pain relief than drug B. Observations of the hours of pain relief are recorded for 55 patients given drug A and 58 patients given drug B. The summary statistics are

Drug A: Mean, Standard Deviation 4.64, 1.25
Drug B: Mean, Standard Deviation 4.03, 1.82
a)Formulate H0 and H1
b)State the test statistic and the rejection region with α= .10
c)State the conclusion of your test with α= .10. Also, find the P-value and comment.
Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
a)
Ho: mean[A]>mean[B]
H1: mean[A]=mean[B]
.
b)
sigma=sqrt%28%281.25%5E2%2F55%29%2B%281.82%5E2%2F58%29%29=.292
z=(4.64-4.03)/.292=2.09
2.09 is greater than the acceptance region 1.28 which is z for a one tailed test with alpha of 0.10
.
c)
Ho is accepted: mean[A]>mean[B]
P value of 2.09 is 0.018 which is the probability that Ho is false.
.
Ed