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A company packages powdered soap in 6-pound boxes. The sample mean and standard

Probability and Statistical Inference | 9th Edition | ISBN: 9780321923271 | Authors: Robert V. Hogg, Elliot Tanis, Dale Zimmerman ISBN: 9780321923271 41

Solution for problem 7.4-3 Chapter 7.4

Probability and Statistical Inference | 9th Edition

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Probability and Statistical Inference | 9th Edition | ISBN: 9780321923271 | Authors: Robert V. Hogg, Elliot Tanis, Dale Zimmerman

Probability and Statistical Inference | 9th Edition

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Problem 7.4-3

A company packages powdered soap in 6-pound boxes. The sample mean and standard deviation of the soap in these boxes are currently 6.09 pounds and 0.02 pound, respectively. If the mean fill can be lowered by 0.01 pound, $14,000 would be saved per year. Adjustments were made in the filling equipment, but it can be assumed that the standard deviation remains unchanged. (a) How large a sample is needed so that the maximum error of the estimate of the new is = 0.001 with 90% confidence? (b) A random sample of size n = 1219 yielded x = 6.048 and s = 0.022. Calculate a 90% confidence interval for . (c) Estimate the savings per year with these new adjustments. (d) Estimate the proportion of boxes that will now weigh less than 6 pounds.

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Chapter 7.4, Problem 7.4-3 is Solved
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Textbook: Probability and Statistical Inference
Edition: 9
Author: Robert V. Hogg, Elliot Tanis, Dale Zimmerman
ISBN: 9780321923271

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A company packages powdered soap in 6-pound boxes. The sample mean and standard

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