PSAT Math Multiple-Choice Practice Question 407

Question: 407

A team of researchers studied the effect of sleep masks on rapid eye movement (REM) sleep. Study participants were divided into three groups: the first group did not wear sleep masks, the second group wore regular sleep masks, and the third group wore sleep masks that were contoured away from the eyes and lashes. The results of the study are shown in the following table.

No MaskRegular MaskContoured MaskTotal
Experienced REM Sleep143378125
Did Not Experience REM Sleep34292285
Total4862100210

Based on the results of this study, if a company sold 12,000 of the contoured sleep masks, about how many of the consumers should experience REM sleep using the mask, assuming the participants in the study were a good representative sample?

Correct Answer: D

Explanation:

D

Difficulty: Easy

Category: Surveys and Data Samples

Getting to the Answer: The question asks about consumers who purchase a contoured mask, so focus on that column in the table. Assuming the participants in the study were a good representative sample, 78 out of 100, or 78%, of the 12,000 consumers should experience REM sleep. Multiply 0.78 × 12,000 to arrive at 9,360, which is (D).

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