. 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.

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μ     μ1        μ2
n     29        40
x     2.37     2.62
s     0.58     0.91
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.
 
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