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please refer to image Treatment Placebo A study was done using a treatment group and a placebo group. The results are shown in the table.

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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 P1 P2 independent simple random samples selected from normally distributed populations, and do not assume that the population standard 29 31 deviations are equal. Complete parts (a) and (b) below. Use a 0.05 signicance level for both parts. 233 252 0.84 0.52 a. Test the claim that the two samples are from populations with the same mean. What are the null and alternative hypotheses? OA. H0:u1=u2 03- H03l11u2 The test statistic, t, is D. (Round to two decimal places as needed.) The Pvalue is . (Round to three decimal places as needed.) State the conclusion for the test. 0 A. 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. 0 B. 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. 0 C. Reject the null hypothesis. There is sufcient evidence to warrant rejection of the claim that the two samples are from populations with the same mean. 0 D. Reject the null hypothesis. There is not sufcient 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. |:|

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