Problem 2} The thickness of a plastic lm [in mils} on a substrate material is thought to be inuenced by the temperature at which the coating is applied. A completer randomized Experiment is carried out Eleven Substrates are coated at 125'F, resulting in a sample mean coating thickness of f1 = 103.5 and a sample standard deviation of 31 = 10.2. Another 13 substrates are coated at 15am. for which if: = 99.? and 52 = 2&1 are observed. You are suspicious that raising the process temperature would reduce mean coating thickness. Use Ha: pl 2':- p: for the alternate hypothis and [IF 1.01. Assume that both populations are normally distributed the two population standard deviations are not equal. I. Pmrnltll of Interest. State the parameter of Interest, hcludlng units. 2. Hypothesis Statements: Determine the null and alternative hyped-uses. 5" an\". signilaanol level: Select a level of significance, IL based on the seriousness of making a Type I error. Test Statistic: Choose the appropriate test statistic. Compute the test statistic. :IL 5. 'itiaal 'U'alue: Determine critical values] and put on graphic. 5. Conclusions: Plane 'evldenoe' on graphic and compare. State "Given the null is true, the evidence is {not} surprising [or crustal}, so reiect H0 or fail to reiect Ha." I. P-mralue: Compute pvalue and state, "Given the null is true, there is a _ cha nce. we would get what we got. Supports rejecting or failing to reject the null." I. Condence Interval: Construct the appropriate condence interval around the parameter of interest. 9. Interpretation: State conclusions in terms of parameter of interest and hypothesis statements