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Business / Statistics for Business and Economics 12 / Chapter 7 / Problem 107E

Statistics for Business and Economics | 12th Edition | ISBN: 9780321826237 | Authors: James T. McClave, P. George Benson, Terry T Sincich

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Solder-joint inspections. Refer to Exercise 7.44 (p. 379),

Chapter 7, Problem 107E

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QUESTION:

Problem 107E

Solder-joint inspections. Refer to Exercise 7.44 (p. 379), in which the performance of a particular type of laserbased inspection equipment was investigated. Assume that the standard deviation of the number of solder joints inspected on each run is 1.2. If = .05 is used in conducting the hypothesis test of interest using a sample of 48 circuit boards, and if the true mean number of solder joints that can be inspected is really equal to 9.5, what is the probability that the test will result in a Type II error?

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QUESTION:

Problem 107E

Solder-joint inspections. Refer to Exercise 7.44 (p. 379), in which the performance of a particular type of laserbased inspection equipment was investigated. Assume that the standard deviation of the number of solder joints inspected on each run is 1.2. If = .05 is used in conducting the hypothesis test of interest using a sample of 48 circuit boards, and if the true mean number of solder joints that can be inspected is really equal to 9.5, what is the probability that the test will result in a Type II error?

ANSWER:

Solution:

Step 1 of 3:

We have the standard deviation of the number of solder joints inspected on each run is 1.2 and $\alpha{}$ = 0.05 is used in conducting the hypothesis test of interest using a sample of 48 circuit boards.

The true mean number of solder joints that can be inspected is really equal to 0.95.

The claim is to find the probability that the test will result in a Type II error.

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