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The Manager of a Video Library Would Like the Variance

question 20

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The manager of a video library would like the variance of the waiting times of the customers not to exceed 2.30 minutes-squared. He would like to add an additional billing counter if the variance exceeds the cut-off. He checks the recent sample data. For a random sample of 24 customer waiting times, he arrives at a sample variance of 3.8 minutes-squared. The manager assumes the waiting times to be normally distributed. Which of the following is the correct approximation of the p-value used to conduct this test?


Definitions:

Arterioles

Small branches of arteries leading to capillaries that regulate blood flow and pressure in the circulatory system.

Arterial Wall

The layered structure of an artery, consisting of connective tissue, smooth muscle, and endothelial cells, which maintain blood pressure and circulation.

Capillaries

The smallest blood vessels in the body's vascular system, involved in the exchange of water, oxygen, carbon dioxide, and other nutrients and waste substances between blood and tissues.

Endothelium

A thin layer of cells that lines the interior surface of blood vessels and lymphatic vessels, forming an interface between circulating blood or lymph in the lumen and the rest of the vessel wall.

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