State the null hypothesis H0 and the alternative hypothesis H1. b. Find the value of the test statistic. Round to three or more decimal places. c. Find the p-value. Round to three or more decimal places. d. Can we conclude that the mean number of days before remission after treatment 1 differs from the mean number of days before remission after treatment 2?
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 8 people with the illness, and the second group consisted of 14 people with the illness. The first group received treatment 1 and had a mean time until remission of 163 days, with a standard deviation of 9 days. The second group received treatment 2 and had a mean time until remission of 174 days, with a standard deviation of 8 days. Assume that the populations of times until remission for each of the two treatments are
a. State the null hypothesis H0 and the alternative hypothesis H1.
b. Find the value of the test statistic. Round to three or more decimal places.
c. Find the p-value. Round to three or more decimal places.
d. Can we conclude that the mean number of days before remission after treatment 1 differs from the mean number of days before remission after treatment 2?
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