Boston Electric Generators has been getting many complaints from its major customer, Home Station, about the quality of its shipments of home generators. Daniel Shimshak, the plant manager, is alarmed that a customer is providing him with the only information the company has on shipment quality. He decides to collect information on defective shipments through a form he has asked his drivers to complete on arrival at customers’ stores. The forms for the first 279 shipments have been turned in. They show the following over the past 8 weeks:

Even though Daniel increased his capacity by adding more workers to his normal contingent of 30, he knew that for many weeks he exceeded his regular output of 30 shipments per week. A review of his turnover over the past 8 weeks shows the following:

a) Develop a scatter diagram using total number of shipments and number of defective shipments. Does there appear to be any relationship?

b) Develop a scatter diagram using the variable “turnover” (number of new hires plus number of terminations) and the number of defective shipments. Does the diagram depict a relationship between the two variables?

c) Develop a Pareto chart for the type of defects that have occurred.

S6.11 Twelve samples, each containing five parts, were taken from a process that produces steel rods. The length of each rod in the samples was determined. The results were tabulated and sample means and ranges were computed. The results were:

a) Determine the upper and lower control limits and the overall means for -charts and R-charts.

b) Draw the charts and plot the values of the sample means and ranges.

c) Do the data indicate a process that is in control?

d) Why or why not?

S6.19 Detroit Central Hospital is trying to improve its image by providing a positive experience for its patients and their relatives. Part of the “image” program involves providing tasty, inviting patient meals that are also healthful. A questionnaire accompanies each meal served, asking the patient, among other things, whether he or she is satisfied or unsatisfied with the meal. A 100-patient sample of the survey results over the past 7 days yielded the following data:

Construct a p-chart that plots the percentage of patients unsatisfied with their meals. Set the control limits to include 99.73% of the random variation in meal satisfaction. Comment on your results.

S6.23 The school board is trying to evaluate a new math program introduced to second-graders in five elementary schools across

the county this year. A sample of the student scores on standardized math tests in each elementary school yielded the following data:

Construct a c-chart for test errors, and set the control limits to contain 99.73% of the random variation in test scores. What does the chart tell you? Has the new math program been effective?

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