Rita scored 96 on an employment test, and Naomi scored 98 on the same test. Naomi believes that she has the highest score, but Rita disagrees. Which of the following would be most helpful in determining whether Naomi's score is statistically higher than Rita's score?
A) the standard deviation and mean of the test scores
B) the standard error of measurement of the test scores
C) the reliability coefficient of the test scores
D) the coefficient of determination of the test scores

Question

Quizplus · Accepted Answer

The standard error of measurement would be most helpful in determining whether Naomi's score is statistically higher than Rita's score, as it takes into account the variability of scores on the test and provides a measure of how likely it is that any differences between the two scores are due to chance. The mean and standard deviation provide information about the distribution of scores, but do not directly address the question of whether one score is statistically higher than the other. The reliability coefficient indicates the consistency of scores on the test, but does not directly address the question of whether one score is statistically higher than the other. The coefficient of determination is a measure of the strength of a relationship between two variables, and is not relevant to the question of whether one score is statistically higher than the other.

Rita Scored 96 on an Employment Test, and Naomi Scored