Cynthia is reporting standardized test scores to parents of her students. She knows that on the test she gave the mean is an 80 and the standard deviation is 6. If her student Sharona received a t score of 40, which of the following can we accurately conclude regarding Sharona's performance?
A) She had a raw score greater than 80.
B) She had a positive z score.
C) Her stanine score was an 8.
D) Her performance was less than average.

Question

Quizplus · Accepted Answer

A t score of 40 is below the mean (which is set at 50 for t scores) and indicates performance that is less than average. A t score of 40 also corresponds to a z score of -1.33 (calculated by subtracting the mean of 50 from the t score of 40 and dividing by the standard deviation of 10), but this information is not given as a choice. The raw score cannot be determined based solely on the information given. Stanine scores are not applicable to t scores.

Cynthia Is Reporting Standardized Test Scores to Parents of Her