Question

The Mars Company was concerned about the quality of the M\&Ms candies in its 1.69 ounce bags of plain M\&Ms candies. The company selected 20 bags of plain M\&Ms candies and counted the number of nonconforming (bad) M\&Ms candies in each. The following data was recorded and is shown below: (a) (6 pts) Create a C Chart for the number of nonconforming (bad) MEMs candies. Calculate each of the following and draw the chart: - Centerline - 3-sigma limits (b) (2 pts) Based on the C Chart in part (a), does the process appear to be in control with respect to the mean? Use the Western Electric Handbook rules to justify your answers. (c) (1 pt) Using the chart from part (a), how many points lie above the centerline? (d) (1 pt) Using the chart from part (a), how many points lie below the centerline? (e) (1 pt) Using the chart from part (a), what is the number of runs? (f) (4 pts) Perform a runs test by hand to determine if the process is random or non-random. Use α=0.05.

Answer 1

The student is required to create a C Chart for M&M quality control, including calculating the centerline, 3-sigma limits, using Western Electric Handbook rules to assess process control, counting points relative to the centerline, determining number of runs, and performing a runs test with an alpha of 0.05.

Step-by-step explanation:

The question relates to a quality control process where a student is being asked to create a C Chart for Mars company's plain M&Ms candy bags based on the number of nonconforming candies found in a sample of bags.

The student must calculate the centerline, which is the average number of nonconforming candies, and the 3-sigma limits, which define the range within which the process is considered to be in control. The Western Electric Handbook rules are then used to determine if the process is in control regarding the mean.

Additionally, the student is tasked with counting the points above and below the centerline, determining the number of runs (sequential points on one side of the centerline), and performing a runs test to check if the occurrences of nonconforming candies are random or non-random at an alpha level of 0.05.