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State whether one would expect the data set described below to be normally distributed. Explain why...

State whether one would expect the data set described below to be normally distributed. Explain why or why not. The exact widths of a random sample of wrenches manufactured by a hardware company

Math   Statistics-And-Probability   
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Answer #1

Answer is:

Yes

Explanation:
One would expect the data set of the exact widths of a random sample of wrenches manufactured by a hardware company to be normally distributed due to the following reasons:

(1) There will not be any outlier present in the data set on either side due to strict Quality Control measures adopted by the company by adopting Statistical Process Control (SPC) methodology in avoiding assignable causes in the production process.

(2) The data set will be almost symmetric about the desired target value of the width of the wrenches with statistically allowable variations on either side.

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