Joe had a score of 72 on the Counseling Aptitude Scale, and the standard error of measurement of the scale is 3. Where would we expect Tom’s true score to fall 99.5 percent of the time?

a. 71 to 73
b. 69 to 75
c. 66 to 78
d. 63 to 81
I selected A because of error is 3

With an error of 3, how do you get ±1?

Disagree,because 99.5% encompasses 3 times the standard error.

correct answer is D

To determine where we would expect Tom's true score to fall 99.5 percent of the time, we need to consider the standard error of measurement (SEM) and the level of confidence.

The SEM provides an estimate of the amount of error in an individual's score on a specific measurement tool, such as the Counseling Aptitude Scale. In this case, the SEM is given as 3.

The level of confidence, in this case, is 99.5 percent. This means that we want to determine a range within which we can be 99.5 percent confident that Tom's true score falls.

To calculate the range, we can use the formula:

Range = SEM * z-value

The z-value represents the number of standard deviations a score is from the mean. For a 99.5 percent confidence level, the corresponding z-value is approximately 2.81.

Using the given SEM of 3 and the z-value of 2.81, we can calculate the range:

Range = 3 * 2.81 ≈ 8.43

So, we would expect Tom's true score to fall within approximately 8.43 points above and below his observed score of 72.

To determine the range of expected scores, we can add and subtract this value from Joe's score:

71 (72 - 8.43) to 73 (72 + 8.43)

Therefore, the correct answer is option a. 71 to 73.