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# Hypothesis Test: T-test

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Hypothesis test for the difference of population means: t test
Medical researchers interested in determining the relative effectiveness of two different drug treatments on people with a chronic mental illness established two independent test groups. The first group consisted of people with the illness, and the second group consisted of people with the illness. The first group received treatment 1 and had a mean time until remission of days, with a standard deviation of days. The second group received treatment 2 and had a mean time until remission of days, with a standard deviation of days. Assume that the populations of times until remission for each of the two treatments are normally distributed with equal variance. Can we conclude, at the level of significance, that the mean number of days before remission after treatment 1, , is greater than the mean number of days before remission after treatment 2, ?
Perform a one-tailed test.

Null Hypothesis?

Alternate Hypothesis?

Value of test statistic rounded to three decimal places:

Critical value rounded to three decimal places: