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Statistics / Statistics for Engineers and Scientists 4 / Chapter 6.4 / Problem 4E

Statistics for Engineers and Scientists | 4th Edition | ISBN: 9780073401331 | Authors: William Navidi

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A certain manufactured product is supposed to contain 23%

Chapter 6, Problem 4E

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QUESTION:

A certain manufactured product is supposed to contain 23% potassium by weight. A sample of 10 specimens of this product had an average percentage of 23.2 with a standard deviation of 0.2. If the mean percentage is found to differ from 23, the manufacturing process will be recalibrated.

a. State the appropriate null and alternate hypotheses.

b. Compute the P-value.

c. Should the process be recalibrated? Explain.

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QUESTION:

A certain manufactured product is supposed to contain 23% potassium by weight. A sample of 10 specimens of this product had an average percentage of 23.2 with a standard deviation of 0.2. If the mean percentage is found to differ from 23, the manufacturing process will be recalibrated.

a. State the appropriate null and alternate hypotheses.

b. Compute the P-value.

c. Should the process be recalibrated? Explain.

ANSWER:

Step 1 of 4

Given that,

A certain manufactured product is supposed to contain 23% potassium by weight. A sample of n = 10 specimens of this product had an average percentage of 23.2 with a standard deviation of s = 0.2. If the mean percentage is found to differ from 23, the manufacturing process will be recalibrated.

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