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SAT-Math scores are normally distributed with a mean of 500 and a standard deviation of 100. ACT-Math scores are normally distributed with a mean of 18 and a standard deviation of 6. Calculate the z-scores for a student who received 450 on the SAT-Math and 17 on the act math.compare the z scores.explain which z score is better and why

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Answer:

Step-by-step explanation:

SAT:

(450 - 500) / 100 = -0.5 zscore = .3085, or 31% did less well

ACT:

(17 - 18) / 6 = -0.17 zscore = .4325, or 43% did less well

The ACT score is better because it is less negative. The less negative a zscore is, the higher the percentage of people