Question

A study was done using a treatment group and a placebo group. The results are shown...

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.

Treatment

Placebo

μ

μ 1

μ 2

n

26

30

2.34

2.61

s

0.96

0.66

  1. Test the claim that the two samples are from populations with the same mean.

A. What are the null and alternative​ hypotheses?

  1. The test​ statistic, t is
  2. The​ P-value is
  3. State the conclusion for the test.
  4. Construct a confidence interval suitable for testing the claim that the two samples are from populations with the same mean.

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