Mathematical Statistics and Data Analysis (with CD Data Sets)
Mathematical Statistics and Data Analysis (with CD Data Sets)
3rd Edition
ISBN: 9780534399429
Author: John A. Rice
Publisher: Cengage Learning
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Chapter 1.8, Problem 60P
To determine

Find the percentage of the items produced in a day are defective if the shifts all have the same productivity.

Find the probability that it was produced by the third shift if an item is defective.

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How do the samples hold up to the efficiency test? What percentages of the samples pass or fail the test? What would be the likelihood of having the following specific number of efficiency test failures in the next 300 processors tested? 1 failures, 5 failures, 10 failures and 20 failures.
The battery temperatures are a major concern for us. Can you analyze and describe the sample data? What are the average and median temperatures? How much variability is there in the temperatures? Is there anything that stands out? Our engineers’ assumption is that the temperature data is normally distributed. If that is the case, what would be the likelihood that the Safety Zone temperature will exceed 5.15 degrees? What is the probability that the Safety Zone temperature will be less than 4.65 degrees? What is the actual percentage of samples that exceed 5.25 degrees or are less than 4.75 degrees? Is the manufacturing process producing units with stable Safety Zone temperatures? Can you check if there are any apparent changes in the temperature pattern? Are there any outliers? A closer look at the Z-scores should help you in this regard.
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