Exam 13: Supplement: Statistical Quality Control and Six Sigma Quality Management

An insurance company auditor takes eight samples of 250 completed forms to establish control limits for the fraction of insurance policy forms that are filled out incorrectly. The data appear in this table: -Calculate the upper control limit for the chart, using z = 3.

A product has 32 parts, the company has produced 13,250 units, and so far, they have had 7,650 customer complaints about quality. -What is the company's probable DPMO?

Number of defects = 350; opportunities for a defect to occur = 10; number of units = 1,000 -What is the Six Sigma operating level?

A drive-in restaurant is running a new promotion, the "Route 44," named after an interstate that runs through their primary market area. The drink is promoted as 44 ounces of pure carbonated pleasure but the regional manager, being somewhat of a quality expert, wants to make sure that the company's drink process can deliver 44 ounces. She decides statistical quality control is the best way to monitor their process. For ten consecutive days she purchases five Route 44 drinks from franchise locations on her way to headquarters and turns them over to the testing lab for volume analysis. The data appear in the table, all amounts are in fluid ounces as measured by the testing lab. The regional manager is more concerned about the consistency of the process, figuring that if the cups are filled, the amount will be close enough for beverage work. -The UCL for the three sigma R chart for the process is approximately:

Romeo and Juliet make and sell cookies for their online business, Heartbreak Abode. They want to track quality, so they decide to calculate their defects per million opportunities, or DPMO, each month. For each box of cookies they sell, there can be 7 possible defects or customer complaints. During the last month, Heartbreak filled 725 orders. They received 49 complaints. -Calculate Heartbreak's DPMO during the past month.

A company currently produced 750,000 units, with a total defect level of 6,300. Each unit has a potential of 300 defects. -When the percentage of defect-free output is 99.38, the sigma level is _______.

A pizza delivery service wants to track their delivery times. They take eight samples of four deliveries and record the following data. What are the upper and lower control limits of their R-chart?

A firm recently produced 7,778 units, with a total defect level of 90. Each unit can have 32 defects. -To achieve a defects per million opportunities (DPMO) value of 32, what would be the defect level?

A product has 175 parts, the company has produced 15,000 units, and so far, they have had 1,250 customer complaints about quality. -What is the company's probable DPMO?

A product has 32 parts, the company has produced 13,250 units, and so far, they have had 7,650 customer complaints about quality. -What will be your best choice for the company's Six Sigma operating level?

The St. Helena Heritage Center at Marquette, Michigan, wants to start analyzing their company's customer service quality. For each type of service the center provides, there are 6 types of customer complaints. During the last 12 months, the center had 8,876 visitors and received a total of 1,253 complaints. -What is the center's DPMO for the past 12 months?

An insurance company auditor takes eight samples of 250 completed forms to establish control limits for the fraction of insurance policy forms that are filled out incorrectly. The data appear in this table: -Calculate , the mean percent defective for all samples collected.

The St. Helena Heritage Center at Marquette, Michigan, wants to start analyzing their company's customer service quality. For each type of service the center provides, there are 6 types of customer complaints. During the last 12 months, the center had 8,876 visitors and received a total of 1,253 complaints. -To achieve a sigma level of 5, what would be the number of complaints?

A drive-in restaurant is running a new promotion, the "Route 44," named after an interstate that runs through their primary market area. The drink is promoted as 44 ounces of pure carbonated pleasure but the regional manager, being somewhat of a quality expert, wants to make sure that the company's drink process can deliver 44 ounces. She decides statistical quality control is the best way to monitor their process. For ten consecutive days she purchases five Route 44 drinks from franchise locations on her way to headquarters and turns them over to the testing lab for volume analysis. The data appear in the table, all amounts are in fluid ounces as measured by the testing lab. The regional manager is more concerned about the consistency of the process, figuring that if the cups are filled, the amount will be close enough for beverage work. -What is the central line of the R chart for this process?

A product has 175 parts, the company has produced 15,000 units, and so far, they have had 1,250 customer complaints about quality. -What will be your best choice for the company's Six Sigma operating level?

A cell phone manufacturer inspects the video display on each color phone to verify that the screen can display all colors with the brilliance their customers have come to expect. Each phone is turned on, run through a self-test procedure, and classified as either acceptable or unacceptable based on test performance. Based on historical data, the manufacturer produces 0.1 percent defective displays. If they inspect 5000 phones each day for the next 10 days, what are the upper and lower control limits for their three sigma control chart if their sample mean mirrors their historical process average?

A company currently produced 750,000 units, with a total defect level of 6,300. Each unit has a potential of 300 defects. -When the percentage of defect-free output is 99.865, the defects per million opportunities is _______.

You have been given the following data: Specification information: Anything between 10 and 20 units per order is acceptable. Process Mean: 13 Upper limit of the process: 16 Lower limit of the process: 10 Using this information, Determine the C_pk.

Use the information contained in this chart to determine your answer. Twenty samples of size 8 were taken from a stable process. From past studies of the process, you know that the overall mean is 42.5 and that the average of the samples range is 2.0. -The LCL for the three sigma R chart for the process is approximately (for a sample size of 8, D₃ = 0.136, D₄ = 1.864):

Oliver's pizza shop tracks customer complaints every day and then follows up with their customers to resolve problems. For the past 30 days, they received a total of 127 various complaints from unhappy customers. -Calculate the sample standard deviation for the C chart