SCM 352 Fall 2022 Homework B Due: 10/07/2022 Problem 1 As a brake quality inspector at Cico Friction Products, your primary job is to monitor the average life of brake shoes being used in the brake assembly. The following sample data on brake shoes life (in 1000's of miles) were collected when the production process was known to be in control. Each sample consisted of 5 observations: Brake shoes life (1000 miles) Sample Number 1 2 3 4 5 1 2.3 2.5 2.1 2.9 2.4 2 2.4 2.2 2.6 2.3 2.2 3 2.2 2.4 2.3 2.5 2.3 4 2.2 2.1 2.3 2.5 2.3 5 2.3 2.4 2.2 2.8 2.1 6 2.2 2.3 2.3 2.4 2.6 a. Calculate the 30 upper and lower control limits and the center lines for the mean (X) and range (R) charts. Use the "constant factors" given in class slides. (Please round your answers to one decimal place.) b. To cut production costs, Cico recently changed the supplier of a key component. In order to check if the supplier change has any impact on brake shoes life, the following 5 samples were collected after this change. Brake shoes Life (1000 miles) Sample Number 1 2 3 4 5 1 2.7 2.2 2.1 2.2 2.3 2 2.8 2.1 2.4 2.3 2.5 3 2.1 2.2 2.5 2.4 1.8 4 2.5 2 2.1 2.1 2.3 5 2.2 2.4 2.3 2.1 2.6 1. Using the upper and lower control limits and center lines you computed in part a), plot the sample mean and sample range for each of the 5 samples on the appropriate control charts. 2. Is the production process still in control? Why or why not?