Test: Week 1 Test ... Question 14 This Test: 100 pts possible Submit Test Treatment| Placebo 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 H1 H2 independent simple random samples selected from normally distributed populations, and do not assume that the population standard 30 32 deviations are equal. Complete parts (a) and (b) below. Use a 0.10 significance level for both parts. x 2.32 2.68 0.85 0.58 a. Test the claim that the two samples are from populations with the same mean. What are the null and alternative hypotheses? O A. Ho: H1 = H2 O B. HO: H1

H2 The test statistic, t, is . (Round to two decimal places as needed.) The P-value is . (Round to three decimal places as needed.) State the conclusion for the test. O A. 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. O B. 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. O C. 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. O D. 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. b. Construct a confidence interval suitable for testing the claim that the two samples are from populations with the same mean.