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ISBN: 9781260036107

Author: Navidi

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Chapter 10.5, Problem 3E

Refer to Exercise 2.

a. To what value should the process mean be set to maximize the process capability?
b. What will the process capability then be?

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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Chapter 10.5, Problem 2E

Chapter 10.5, Problem 4E

Chapter 10 Solutions

STATISTICS FOR ENGR.+SCI-W/ACCESS

Ch. 10.1 - Indicate whether each of the following quality...Ch. 10.1 - True or false: a. Control charts are used to...Ch. 10.1 - Prob. 3E Ch. 10.1 - Prob. 4E Ch. 10.1 - True or false: a. When a process is in a stale of...Ch. 10.1 - Prob. 6E Ch. 10.2 - The quality-control plan for a certain production...Ch. 10.2 - The following X chart depicts the last 50 samples...Ch. 10.2 - The thickness, in mm, of metal washers is measured...Ch. 10.2 - Repeat Exercise 3, using the S chart in place of...

Ch. 10.2 - A process has mean 12 and standard deviation 3....Ch. 10.2 - A process has mean 8 and standard deviation 2. The...Ch. 10.2 - A process is monitored by taking samples at...Ch. 10.2 - Prob. 8E Ch. 10.2 - Repeat Exercise 8, using the S chart in place of...Ch. 10.2 - Prob. 10E Ch. 10.2 - Repeat Exercise 10, using the S chart in place of...Ch. 10.2 - Copper wires are coated with a thin plastic...Ch. 10.2 - Repeat Exercise 12, using the S chart in place of...Ch. 10.3 - Prob. 1E Ch. 10.3 - The target fill weight for a box of cereal is 350...Ch. 10.3 - Prob. 3E Ch. 10.3 - Refer to Exercise 3. In the last 50 samples, there...Ch. 10.3 - A newly designed quality-control program for a...Ch. 10.3 - Prob. 6E Ch. 10.3 - Prob. 7E Ch. 10.3 - Each hour, a 10 m2 section of fabric is inspected...Ch. 10.4 - Refer to Exercise 3 in Section 10.2. a. Delete any...Ch. 10.4 - Refer to Exercise 8 in Section 10.2. a. Delete any...Ch. 10.4 - Prob. 3E Ch. 10.4 - Refer to Exercise 12 in Section 10.2.ss a. Delete...Ch. 10.4 - Prob. 5E Ch. 10.4 - Prob. 6E Ch. 10.5 - The thickness specification for aluminum sheets is...Ch. 10.5 - The specification for the diameters of ball...Ch. 10.5 - Refer to Exercise 2. a. To what value should the...Ch. 10.5 - Refer to Exercise 1. a. To what value should the...Ch. 10.5 - A process has a process capability index of Cp =...Ch. 10 - Prob. 1SE Ch. 10 - Prob. 2SE Ch. 10 - Prob. 3SE Ch. 10 - Prob. 4SE Ch. 10 - Prob. 5SE Ch. 10 - Prob. 6SE Ch. 10 - To set up a p chart to monitor a process that...

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Refer to Exercise 2. a. To what value should the process mean be set to maximize the process capability? b. What will the process capability then be?

Solution Summary: The author calculates the process capability index C_pk based on the diameters of ball bearings with lower and upper specification limits.

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