A study of all widgets from a factory showed the mean age of widgets to be 22.2 years with a standard deviation of 1.1 years.Are these numbers statistics or parameters? Explain.The numbers are parameters because the numbers were calculated for a sample of widgets and are estimates.The numbers are parameters because the numbers were calculated for all widgets from the factory.The numbers are statistics because the numbers were calculated for a sample of widgets and are estimates.The numbers are statistics because the numbers were calculated for all widgets from the factory.Select the correct label for the numbersThe correct labels for 22.2 months and 1.1 months are:μ = 22.2 months and s = 1.1 monthsxˉx̄ = 22.2 months and σ = 1.1 monthss = 22.2 months and σ = 1.1 monthsxˉx̄ = 22.2 months and s = 1.1 monthsμ = 22.2 months and σ = 1.1 monthsμ = 22.2 months and xˉx̄ = 1.1 months

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A study of all widgets from a factory showed the mean age of widgets to be 22.2 years with a standard deviation of 1.1 years.

Are these numbers statistics or parameters? Explain.

The numbers are parameters because the numbers were calculated for a sample of widgets and are estimates.
The numbers are parameters because the numbers were calculated for all widgets from the factory.
The numbers are statistics because the numbers were calculated for a sample of widgets and are estimates.
The numbers are statistics because the numbers were calculated for all widgets from the factory.

Select the correct label for the numbers

The correct labels for 22.2 months and 1.1 months are:

μ = 22.2 months and s = 1.1 months
xˉx̄ = 22.2 months and σ = 1.1 months
s = 22.2 months and σ = 1.1 months
xˉx̄ = 22.2 months and s = 1.1 months
μ = 22.2 months and σ = 1.1 months
μ = 22.2 months and xˉx̄ = 1.1 months

Expert Solution

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A parameter is a descriptive measure that is calculated for the entire population. Generally, we denote parameters using Greek letters, mu for mean and sigma for standard deviation.

A statistic is a descriptive measure that is calculated from the sub-group of a population, called the sample. A sample is usually smaller than the population. The largest possible sample is the population itself.

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