Question

Suppose that SAT math scores are normally distributed with a mean of 516 and a standard deviation of 115, while ACT math scores have a normal distribution with a mean of 22 and a standard deviation of 5. James scored 650 on the SAT math and Jacob scored 29 on the ACT math. Who did better in terms of the standardized z-score?

Group of answer choices

James

Jacob

They did relatively the same.

Impossible to tell because of the scaling

Answer #1

SAT math scores are normally distributed with a mean of 516 and a standard deviation of 115

= 516

= 115

James scored 650 on the SAT math

**Z = 1.165**

ACT math scores have a normal distribution with a mean of 22 and a standard deviation of 5

= 22

= 5

Jacob scored 29 on the ACT math

**Z = 1.4**

**As Z score for Jacob is more, hence, he scored
better**

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