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An Educational Testing Service Designed an Achievement Test So That

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An educational testing service designed an achievement test so that the range in student scores would be greater than 420 points. To determine whether the objective was achieved, the testing service gave the test to a random sample of 30 students and found that the sample mean and variance were 759 and 1943, respectively. Conduct the test for H0:σ2=4900 vs. Ha:σ2>4900 using α=.025. Assume the range is 6σH _ { 0 } : \sigma ^ { 2 } = 4900 \text { vs. } H _ { a } : \sigma ^ { 2 } > 4900 \text { using } \alpha = .025 \text {. Assume the range is } 6 \sigma \text {. }


Definitions:

Expected Loss

The anticipated amount of loss a party might suffer in an investment or venture, taking into account the likelihood of various outcomes.

Probability

The likelihood of a particular event happening.

Moral Hazard

A situation in which one party engages in risky behavior or fails to act in good faith because another party bears the consequences or costs.

Taxi Driver

An individual who operates a car for hire to transport passengers as a profession.

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