Question

The scores on a test were normally distributed with a mean of 70 and a standard deviation of 10. A randomly selected student scored 85 on the test. What is the z-score that corresponds to the student's test score of 85? Round to the nearest tenth.

A) 0.5
B) 1.0
C) 1.5
D) 2.0

Answer 1

The z-score that corresponds to the student's test score of 85 is 1.5.

Step-by-step explanation:

To find the z-score that corresponds to a test score of 85, we can use the formula:

z = (x - mean) / standard deviation

Plugging in the values from the question, we have:

z = (85 - 70) / 10

Simplifying, we get:

z = 15 / 10

z = 1.5

Therefore, the z-score that corresponds to the student's test score of 85 is 1.5.