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
Mean 4.64 4.03
Standard deviation 1.25 1.82
A) Formulate H(o) and H (1).
B) State the test statistic and the rejection region with x = .10.
C) State the conclusion of your test with x = .10. Also, find the P-value and comment.
This solution provides a null and alternative hypothesis where the test statistic is calculated and compared to the p-value to determine whether or not the null hypothesis is accepted or rejected. The conclusion of the test is stated in terms of the situation.