A medical researcher is comparing the effectiveness of two treatments. Sample data is as follows:
Sample A: Time to recover = 8 days s = 2.5 days n = 20
Sample B: Time to recover = 11 days s = 3.5 days n = 16
Perform a hypothesis test at 95% confidence to determine whether there is a significant difference in the time to recover between the two treatments. Be sure to state your null and alternate hypothesis, show your test statistic, show p-value, and state your conclusion: are the treatments significantly different? YES or NO. Assume that the data is normally distributed.
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