For the problems below, when asked to conduct the hypothesis test, please use the seven-step process we have been using in class. Also, in step 7, it is very important to be clear in your conclusion. There are three parts to this: evidence from your hypothesis test, the decision to reject or fail to reject the null hypothesis, and the conclusion in the context of the problem. For example referring to the first example we did in Chapter 10, we stated the following: "-1.03 is not less than -1.96, nor is it greater than +1.96, so we fail to reject Ho: u1 -H2 = 0, and conclude that there is no difference in mean yield strength between the two types of roof bolts." (Here, the evidence is -1.03 is not less than -1.96, nor is it greater than +1.96 The decision is We fail to reject Ho: H1-2 0 The conclusion in the context of the problem is We conclude that there is no difference in mean yield strength between the two types of roof bolts) Two types of plastic are suitable for an electronics component manufacturer to use, and the breaking strength of this plastic is important. It is known that o1 02 = 1.0 psi. From a random sample of size n1= 10 and n2 = 12, you obtain 162.5 psi and 2 155.0 psi. The company will not adopt plastic 1 unless its mean breaking strength exceeds that of plastic 2 by at least 10 psi. Use a 0.05 for all parts of the problem. (a) Use the seven-step hypothesis test that we have been using in class to determine if the company should use plastic 1. Do not use the P-Value (b) Determine the proper confidence interval or bound for this situation, and calculate it. Describe why this confidence interval/bound supports your conclusion from part (a) (c) Suppose that the true difference in means is 12.0 psi. Determine the probability of a Type II 1 error 1. Identify the parameter of interest. Describe it in the context of the situation. 2. Determine null value and state null hypothesis. 3. State the appropriate alternative hypothesis. 4. Give the formula for the computed value of the test statistic. 5. State the rejection region for the selected level of significance, a. 6. Compute sample quantities (if necessary), substitute into formula for the test statistic value, and compute that value (z in this case). 7. Decide whether or not the null hypothesis should be rejected and state the conclusion in the context of the original problem. (Either "reject" or "fail to reject the null hypothesis; never "accept" the null hypothesis. Next, explain what this means in terms of your specific situation, e.g., "conclude that the mean sulfur content is greater than 1.50%.")