An Educational Testing Service Designed an Achievement Test So That $= 6 \sigma$

question 48

Essay

An educational testing service designed an achievement test so that the range in student scores would be greater than 300 points. To determine whether the objective was achieved, the testing service gave the test to a random sample of 42 students and found that the sample mean and variance were 703 and 2574, respectively. Specify the null and alternative hypotheses for determining whether the test achieved the desired dispersion in scores.
Assume that range $= 6 \sigma$

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Definitions:

Correlated Stimulus

A stimulus that is consistently linked with another, often leading to an expectation of the second when the first is presented.

Conditioned Stimulus

A previously neutral stimulus that, after becoming associated with an unconditioned stimulus, eventually triggers a conditioned response.

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A kitchen device used to open metal cans automatically using an electric motor.

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Specially formulated food designed to meet the nutritional needs of cats, considering their dietary requirements.