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

question 33

Essay

A lumber company has claimed that the standard deviation for the lengths of their six-foot boards is .4 inches or less. To test their claim, a random sample of 16 six-foot boards is selected; and it is determined that the variance of the sample is .3. Do the results of the sample support the company's claim? Use α = .1.

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Definitions:

Sympathetic Nervous System

Part of the autonomic nervous system that prepares the body for rapid action in response to stress or danger, triggering the "fight or flight" response.

Stressful Situations

Circumstances or events that place a psychological or physical demand on an individual, often triggering stress responses.

Allostatic Load

The term refers to the “wear and tear” of the body due to prolonged activation of physiological stress responses.

Allostasis

The concept that different circumstances require different levels of physiological activation.