An Educational Testing Service Designed an Achievement Test So That

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 41 students and found that the sample mean and variance were 687 and 2605, respectively. Specify the null and alternative hypotheses for determining whether the test achieved the desired dispersion in scores. Assume that range = 6σ.

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Definitions:

Capillary puncture

A medical procedure for collecting blood samples by puncturing the capillaries, often done on the fingertip or earlobe, for testing purposes.

Lancet

A small, disposable instrument with a sharp point used to puncture the skin and make a shallow incision; used for capillary puncture.

Retracting needle

A safety syringe design where the needle retracts into the barrel post-injection to prevent needle-stick injuries.

Butterfly needle

A small, winged needle used for accessing veins for blood draws or infusions, minimizing discomfort and tissue damage.