Treatment Placebo μ μ1 μ2 n 31 34 x 2.31 2.62 s 0.99 0.69 A study was done using a treatment group and a placebo group. The results are shown in the table. Assume that the two samples are independent...


































Treatment


Placebo




μ


μ1


μ2


n


31


34


x


2.31


2.62


s


0.99


0.69





A study was done using a treatment group and a placebo group. The results are shown in the table. Assume that the two samples are independent simple random samples selected from normally distributed​ populations, and do not assume that the population standard deviations are equal. Complete parts​ (a) and​ (b) below. Use a 0.05 significance level for both parts.



a.What are the null and alternative​ hypotheses?

The test​ statistic, t, is
The​ P-value is

State the conclusion for the test.



b. Construct a confidence interval suitable for testing the claim that the two samples are from populations with the same mean.






Jun 07, 2022
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