3. An automotive supplier is considering changing its electrical wire harness to save money. The idea is to replace a current 20-gauge wire with a 22-gauge wire. Since not all wires in the harness can be changed, the new wire must work with the current wire splice process. To determine whether the new wire is compatible, random samples were selected and measured with a pull test. A pull test measures the force required to pull the spliced wires apart. The minimum pull force required by the customer is 20 pounds. Twenty observations of the forces needed for the current wire are 22.7 24.6 24.7 23.7 23.7 23.5 25.8 25.1 20.3 21.4 28.6 23.9 23.7 22.8 25.3 24.8 22.8 24.1 24.7 24.5 Twenty observations of the forces needed for the new wire are 11.2 12.2 13.0 12.5 10.2 12.2 15.2 16.7 11.4 15.5 11.8 11.7 12.5 12.3 14.9 9.9 12.3 11.8 13.2 14.9 a) Does the current wire meet the customer's specications? i) W Include the relevant Minitab output to check if the normality assumption(s) is(are) met. Explain how you use this output. (Recall: in Minitab use Graph > Probability Plot.) ii) Calculate and interpret an appropriate 95% condence interval to determine whether the current wire meet the customer's specications. iii) Explain how you use this interval to justify your conclusion on whether the current wire meet the customer's specications. b) Find a 95% condence interval for the difference of the means for these the current and the new types of wire. 1) m1 Include the relevant Minitab output and explain how you use it to check if the normality assumption(s) needed for part (ii) is(are) met. Explain how you use it ii) Calculate and interpret an appropriate 95% condence interval for the difference of the means for these the current and the new types of wire. iii) Explain how you use this interval to compare these two types of wire iv) Repeat part (ii) under the assumption of equal pOpulation variances v) Compare the intervals in (ii) and (iv). Which one is wider? Is it what you expected? c) What is your recommendation for this company? Explain