Exam 19: Statistical Process Control

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If the Cpk index exceeds 1:

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A quality analyst wants to construct a sample mean chart for controlling a packaging process.He knows from past experience that when the process is operating as intended,packaging weight is normally distributed with a mean of twenty ounces,and a process standard deviation of two ounces.Each day last week,he randomly selected four packages and weighed each.The data from that activity appear below. A quality analyst wants to construct a sample mean chart for controlling a packaging process.He knows from past experience that when the process is operating as intended,packaging weight is normally distributed with a mean of twenty ounces,and a process standard deviation of two ounces.Each day last week,he randomly selected four packages and weighed each.The data from that activity appear below.    (a)If he sets an upper control limit of 21 and a lower control limit of 19 around the target value of twenty ounces,the control chart is based on what value of z? (b)With the UCL and LCL of part a,what do you conclude about this process-is it in control? (a)If he sets an upper control limit of 21 and a lower control limit of 19 around the target value of twenty ounces,the control chart is based on what value of z? (b)With the UCL and LCL of part a,what do you conclude about this process-is it in control?

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The upper and lower limits for diving ring diameters made by John's Swimming Co.are 40 and 39 cm. ,respectively.John took 11 samples with the following average diameters (39,39.1,39.2,39.3,39.4,39.5 39.6,39.7,39.8,39.9,40).Is the process in control?

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Which of the following is true regarding the process capability index Cpk?

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Consumer's risk is the probability of:

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What is the basic objective of a process control system?

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The ________ is the percentage defective in an average lot of goods inspected through acceptance sampling.

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Pierre's Motorized Pirogues and Mudboats is setting up an acceptance sampling plan for the special air cleaners he manufactures for his boats.His specifications,and the resulting plan,are shown on the POM for Windows output below.Pierre is a bit confused.He mistakenly thinks that acceptance sampling will reject all bad lots and accept all good lots.Explain why this will not happen. Pierre's Motorized Pirogues and Mudboats is setting up an acceptance sampling plan for the special air cleaners he manufactures for his boats.His specifications,and the resulting plan,are shown on the POM for Windows output below.Pierre is a bit confused.He mistakenly thinks that acceptance sampling will reject all bad lots and accept all good lots.Explain why this will not happen.

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To measure the voltage of batteries,one would sample by attributes.

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Briefly explain what the Central Limit Theorem has to do with control charts.

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In most acceptance sampling plans,when a lot is rejected,the entire lot is inspected and all defective items are replaced.When using this technique the AOQ:

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A retail store manager is trying to improve and control the rate at which cashiers sign customers up for store credit cards.The manager takes several samples of size 50.He finds that each sample of 50 contained 5 credit card signups on average.Find p-bar and 99.73% control limits.

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According to the text,what is the most common choice of limits for control charts?

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The specifications for a manifold gasket that installs between two engine parts calls for a thickness of 2.500 mm ± .020 mm.The standard deviation of the process is estimated to be 0.004 mm.The process is currently operating at a mean thickness of 2.50 mm.(a)What are the upper and lower specification limits for this product? (b)What is the Cp for this process? (c)About what percent of all units of this gasket will meet specifications? Does this meet the technical definition of Six Sigma?

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A small,independent amusement park collects data on the number of cars with out-of-state license plates.The sample size is fixed at n=25 each day.Data from the previous 10 days indicate the following number of out-of-state license plates: A small,independent amusement park collects data on the number of cars with out-of-state license plates.The sample size is fixed at n=25 each day.Data from the previous 10 days indicate the following number of out-of-state license plates:    (a)Calculate the overall proportion of tourists (cars with out-of-state plates)and the standard deviation of proportions. (b)Using ±3σ limits,calculate the LCL and UCL for these data. (c)Is the process under control? Explain. (a)Calculate the overall proportion of "tourists" (cars with out-of-state plates)and the standard deviation of proportions. (b)Using ±3σ limits,calculate the LCL and UCL for these data. (c)Is the process under control? Explain.

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Which of the following statements about acceptance sampling is true?

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What is the difference between the process capability ratio Cp and the process capability index Cpk?

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Jars of pickles are sampled and weighed.Sample measures are plotted on control charts.The ideal weight should be precisely 11 oz.Which type of chart(s)would you recommend?

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Assignable causes:

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Acceptance sampling accepts or rejects an entire lot based on the information contained in the sample.

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