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Theoretical statistical sampling situation

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I need help figuring out a hypothetical situation about 'statistical'sampling.
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1. Identify a situation relating to your work or business interests in which statistical sampling might be (or has been) useful.

a. Describe the population and indicate how a sample could be chosen.

b. Identify a population parameter of interest and indicate how a sample statistic could shed light on this unknown.

c. Explain the concept of the sampling distribution of this statistic for your particular example.
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This could be any example, really. Thank you for your help!

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Solution Summary

The solution examines theoretical and statistical sampling situations. The expert identified a situation relating to work or business interests in which statistical sampling might be useful.

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Theoretical statistical sampling situation
I need help figuring out a hypothetical situation about 'statistical' sampling.
----------

1. Identify a situation relating to your work or business interests in which statistical sampling might be (or has been) useful.
Suppose your company is a manufacturer of widgets and that the assembly line on the manufacturing floor makes a very large number of widgets each day. Manufacturing specifications call for each widget to be 10 inches long (with a tolerance of plus or minus 0.1 inch allowed). You would like to check the widgets coming off the line in order to make sure that the assembly line is making widgets that are within the specifications. Since the company makes so many widgets, it would not be practical to measure every widget made by the company ...

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