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Michael Sullivan III

4 Edition

Chapter 7, Problem 56

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The ACT and SAT are two college entrance exams. The composite score on the ACT is approximately normally distributed with mean 21.1 and standard deviation $5.1 .$ The composite score on the SAT is approximately normally distributed with mean 1026 with standard deviation $210 .$ Suppose you scored 26 on the ACT and 1240 on the SAT. Which exam did you score better on? Justify your reasoning using the normal model.

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Video by Bryan Meares

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01:40

There are two college entranc…

02:32

01:33

There are two major tests for…

03:51

Based on recent results, scores on the SAT test are normally distributed with a mean of 1511 and a standard deviation of 312. Scores on the ACT test …

Transcript

56 the A. C. T. And S. A. T. R. To college entrance exams. The composite score on the A. C. T. S approximately normally distributed with the mean of 21.1 and the standard deviation of 5.1. The composite score on the S. A. T. Is approximately normally distributed with the mean of 10 26 and the standard deviation of 2 10, suppose you score a 26 on the A. C. T and a 12 40 on the S. A. T. Which exam did you score better on justify your reasoning using the normal model? So what I want to do here is I want to standardize these values. Standardizing these values basically places these values on the standard normal curve and we can compare, how well did you do in each of these exams based off the average and the standard deviation? So we want to find the Z. Score for the…