Exam 26: Statistical Process Control

A hospital-billing auditor has been inspecting patient bills. While almost all bills contain some errors, the auditor is looking now for large errors (errors in excess of $250). Among the last 100 bills inspected, the defect rate has been 14%. Calculate the upper and lower limits for the billing process for 99.7% confidence.

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Question 1

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0.14 plus or minus 3 × 0.03667, or .030 to 0.250

What is the basic objective of a process control system?

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Question 2

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It is to provide a statistical signal when assignable causes of variation are present.

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. In relatively plain English (someone else will translate for Pierre), explain exactly what he will do when performing the acceptance sampling procedure, and what actions he might take based on the results.

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Question 3

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Pierre should select samples of size 175 from his lots of air cleaners. He should count the number of defects in each sample. If there are 4 or fewer defects, the lot passes inspection. If there are 5 or more defects, the lot fails inspection. Lots that fail can be handled several ways: they can be 100% inspected to remove defects; they can be sold at a discount; they can be destroyed; they can be sent back for rework, etc.

Calculate the C_p and C_pk scores from the following information. Upper tolerance limit 1.88 Lower tolerance limit 0.035 Mean (optional) 1.1 Standard deviation 0.35

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Question 4

A Type I error occurs when

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Question 5

Why are x-bar and R-charts usually used hand in hand?

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Question 6

Mistakes stemming from workers' inadequate training represent an assignable cause of variation.

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Question 7

The number of late insurance claim payouts per 100 should be measured with a(n)

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Question 8

Repeated sampling of a certain process shows the average of all sample ranges to be 1.0 cm. The sample size has been constant at n = 5. What are the 3-sigma control limits for this R-chart?

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Question 9

The specification for a plastic liner for concrete highway projects calls for a thickness of 6.0 mm ± 0.1 mm. The standard deviation of the process is estimated to be 0.02 mm. What are the upper and lower specification limits for this product? The process is known to operate at a mean thickness of 6.03 mm. What is the C_p and C_pk for this process? About what percent of all units of this liner will meet specifications?

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Question 10

The upper and lower limits for diving ring diameters made by John's Swimming are 40 and 39 cm. 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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Question 11

To set $\bar x$ -chart upper and lower control limits, one must know the process central line, which is the

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Question 12

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

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Question 13

A retail store manager is trying to improve and control the rate at which cashiers sign customers up for store credit cards. Suppose that the manager wants the maximum standard deviation of the sampling distribution to be 5% and he cannot estimate p-bar. How many observations per sample would this require?

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Question 14

The purpose of an x-bar chart is to determine whether there has been a

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Question 15

If μ = 9 ounces, σ = 0.5 ounces, and n = 9, calculate the 3-sigma control limits.

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Question 16

McDaniel Shipyards wants to develop control charts to assess the quality of its steel plate. They take ten sheets of 1" steel plate and compute the number of cosmetic flaws on each roll. Each sheet is 20' by 100'. Based on the following data, develop limits for the control chart, plot the control chart, and determine whether the process is in control. Sheet Number of flaws 1 1 2 1 3 2 4 0 5 1 6 5 7 0 8 2 9 0 10 2

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Question 17

A bank's manager has videotaped 20 different teller transactions to observe the number of mistakes being made. Ten transactions had no mistakes, five had one mistake and five had two mistakes. Compute proper control limits at the 90% confidence level.

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Question 18

The ________ are calculated to show how much allowance should be made for natural variation.

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Question 19

A hospital-billing auditor has been inspecting patient bills. While almost all bills contain some errors, the auditor is looking now for large errors (errors in excess of $250). Among the last 100 bills inspected, the defect rate has been 17%. Calculate the upper and lower limits for the billing process for 99.7% confidence.

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Question 20

Showing 1 - 20 of 166

Exam 26: Statistical Process Control

What is the basic objective of a process control system?

Calculate the Cp and Cpk scores from the following information. Upper tolerance limit 1.88 Lower tolerance limit 0.035 Mean (optional) 1.1 Standard deviation 0.35

A Type I error occurs when

Why are x-bar and R-charts usually used hand in hand?

Mistakes stemming from workers' inadequate training represent an assignable cause of variation.

The number of late insurance claim payouts per 100 should be measured with a(n)

Repeated sampling of a certain process shows the average of all sample ranges to be 1.0 cm. The sample size has been constant at n = 5. What are the 3-sigma control limits for this R-chart?

The upper and lower limits for diving ring diameters made by John's Swimming are 40 and 39 cm. 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?

To set xˉ\bar xxˉ -chart upper and lower control limits, one must know the process central line, which is the

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

The purpose of an x-bar chart is to determine whether there has been a

If μ = 9 ounces, σ = 0.5 ounces, and n = 9, calculate the 3-sigma control limits.

A bank's manager has videotaped 20 different teller transactions to observe the number of mistakes being made. Ten transactions had no mistakes, five had one mistake and five had two mistakes. Compute proper control limits at the 90% confidence level.

The ________ are calculated to show how much allowance should be made for natural variation.

Operations and Productivity

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Human Resources, Job Design, and Work Measurement

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Calculate the C_p and C_pk scores from the following information. Upper tolerance limit 1.88 Lower tolerance limit 0.035 Mean (optional) 1.1 Standard deviation 0.35

To set $\bar x$ -chart upper and lower control limits, one must know the process central line, which is the