In: Statistics and Probability
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:
Given that:
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
SAT math scores are normally distributed with a mean of 516 and a standard deviation of 115


James scored 650 on the SAT math




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


Jacob scored 29 on the ACT math




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