i dont understand how to do these questions. this is just homework and homework for this class is not graded only the tests. im just trying to learn how to do it before the test

Provided below are summary statistics for independent simple random samples from two populations. Use the nonpooled t-test and the nonpooled t-interval procedure to conduct the required hypothesis test and obtain the specified confidence interval. X1 = 12, $1 = 4, n1 = 15, X2 = 10, $2 = 5, n2 = 20 a. Right-tailed test, a = 0.05 b. 90% confidence interval a. What are the hypotheses for the t-test? O A. Ho: M1 = H2 OB. Ho: H1 = H2 Ha: H1 H2 OC. Ho: H1 = H2 OD. Ho: H1 2H2 Ha: My # H2 Ha: My

H2 O C. Ho: M1 = H2 OD. HO: H1 2H2 Ha: My # H2 Ha: H1 H2 Find the test statistic. t= (Round to three decimal places as needed.) Find the P-value. P = (Round to four decimal places as needed.) What is the conclusion of the hypothesis test? O A. Reject Ho. There is insufficient evidence that u, is greater than H2. O B. Do not reject Ho. There is sufficient evidence that u, is greater than H2- O C. Do not reject Ho. There is insufficient evidence that , is greater than H2. O D. Reject Ho. There is sufficient evidence that , is greater than H2- b. The 90% confidence interval is from to (Round to three decimal places as needed.)Preliminary analyses indicate that you can consider Chronic Remitted the assumptions for using nonpooled t-procedures satisfied. Researchers randomly and independently X1 = 26.6 X2 = 21.2 selected 30 prisoners diagnosed with chronic posttraumatic stress disorder (PTSD) and 21 S1 = 5 S? = 2 prisoners that were diagnosed with PTSD but had n1 = 30 n2 = 21 since recovered (remitted). Obtain a 95% confidence interval for the difference, H - 2, between the mean ages at arrest for prisoners with chronic PTSD and remitted PTSD. The 95% confidence interval is from to (Round to three decimal places as needed.)