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Section 9.2 Homework Question 2
Section 9.2 Homework
2. 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.
Test the claim that the two samples are from populations with the same mean.
What are the null and alternative hypotheses?
The test statistic, t, is
The P-value is
State the conclusion for the test.
- Reject the null hypothesis. There is sufficient evidence to warrant rejection of the claim that the two samples are from populations with the same mean.
- Fail to reject the null hypothesis. There is sufficient evidence to warrant rejection of the claim that the two samples are from populations with the same mean.
- Fail to reject the null hypothesis. There is not sufficient evidence to warrant rejection of the claim that the two samples are from populations with the same mean.
- Reject the null hypothesis. There is not sufficient evidence to warrant rejection of the claim that the two samples are from populations with the same mean.
Construct a confidence interval suitable for testing the claim that the two samples are from populations with the same mean.