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In: Statistics and Probability

Suppose that SAT math scores are normally distributed with a mean of 516 and a standard...

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

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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


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