A researcher records the following assessment data: 42 6 (M SD).The researcher only wants to sample participants scoring in the top 20% of this assessment.What is the cutoff score for the top 20% in this example?
A)0.84
B)47.04
C)36.96
D)There is not enough information to answer this question.

Question

A researcher records the following assessment data: 42  6 (M  SD).The researcher only wants to sample participants scoring in the top 20% of this assessment.What is the cutoff score for the top 20% in this example?
A)0.84 
B)47.04 
C)36.96 
D)There is not enough information to answer this question.

Quizplus · Accepted Answer

To find the cutoff score for the top 20%, we need to use the z-score formula. The z-score formula is (X - M) / SD, where X is the raw score, M is the mean, and SD is the standard deviation.

Using this formula, we find the z-score for the top 20%. A z-score of 0.84 corresponds to the top 20%, which we can find using a z-score table or calculator.

0.84 = (X - 42) / 6

Solving for X, we get X = 47.04. Therefore, the cutoff score for the top 20% is 47.04. Hence, the correct answer is B.

A Researcher Records the Following Assessment Data: 42 6