Aptitude tests should produce scores with a large amount of variation so that an

Chapter 10, Problem 10.86

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QUESTION:

Aptitude tests should produce scores with a large amount of variation so that an administrator can distinguish between persons with low aptitude and persons with high aptitude. The standard test used by a certain industry has been producing scores with a standard deviation of 10 points. A new test is given to 20 prospective employees and produces a sample standard deviation of 12 points. Are scores from the new test significantly more variable than scores from the standard? Use = .01.

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QUESTION:

Aptitude tests should produce scores with a large amount of variation so that an administrator can distinguish between persons with low aptitude and persons with high aptitude. The standard test used by a certain industry has been producing scores with a standard deviation of 10 points. A new test is given to 20 prospective employees and produces a sample standard deviation of 12 points. Are scores from the new test significantly more variable than scores from the standard? Use = .01.

ANSWER:

Step 1 of 2

Given that,

The sample size, n=20

The standard deviation of the aptitude test,.

The standard deviation for the new test,  

The aptitude test scores follow a normal distribution.

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