A Lumber Company Has Claimed That the Standard Deviation for the Lengths

question 59

Essay

A lumber company has claimed that the standard deviation for the lengths of its six-foot boards is 0.5 inch or less. To test its claim, a random sample of 17 six-foot boards is selected, and it is determined that the standard deviation of the sample is .43. Do the results of the sample support the company's claim? Use α = .1.

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Definitions:

Contingency Table

A tool used in statistics to analyze and display the frequency distribution of variables, showing the number of observations for each combination of categories.

Retired People

Individuals who have ended their professional careers, typically due to reaching a certain age or fulfilling specific criteria in their employment contract.

Career

The pursuit of a lifelong ambition or the general course of progression towards lifelong goals.

Equally Likely

A term used in probability to describe events that have the same chance of occurring.