A drug trial is attempted using a real drug and placebo. 17 people are given the real drugin hopes of increasing the production of endorphins. The increase in endorphins is

foundto be on average 7.2 micrograms per person, and the sample standard deviation is 3.3micrograms. 14 people are given the placebo, and their average endorphin increase is 10.8micrograms with a standard deviation of A. From previous research on endorphins it isdetermined that it can be assumed that the populations are normal and variances can beassumed to be different. Test at 5% to see if the population mean for the real drug had a significantly different impact on the endorphins than the population mean with the placebo. i.State the hypotheses. ii.Write the test statistic and find its value. (5 Find the critical value(s) from the appropriate table and write your rejection .criterion. (Use the critical value method) (10 points) iv.Write a detailed interpretation of the test result. b) Construct an appropriate confidence interval to test the hypotheses. State yourcomment. Explain how to answer part (b) with your confidence interval. (15 points) c) Test the claim by using Minitab. Copy/write your output. Compare your results. Are they different? Why? /Why not? (10 points)