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Johnny and Billy are two third grade boys. Johnny scored 38 on a stan- dardized reading test with mean 40 and standard deviation 7.5. Billy scored 243 on a standardized reading test with mean 250 and standard deviation 35. Assuming that the given means and standard devia- tions are for equivalent populations of third grade children, (a) which boy reads better, (b) are both boys below average, and (c) are both boys horribly behind in reading or are they both well within the normal range? Answer in full sentences, using z-scores to justify your answer.

Johnny and Billy are two third grade boys. Johnny scored 38 on a stan- dardized reading test with mean 40 and standard deviation 7.5. Billy scored 243 on a standardized reading test with mean 250 and standard deviation 35. Assuming that the given means and standard devia- tions are for equivalent populations of third grade children, (a) which boy reads better, (b) are both boys below average, and (c) are both boys horribly behind in reading or are they both well within the normal range? Answer in full sentences, using z-scores to justify your answer.

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Johnny and Billy are two third grade boys. Johnny scored 38 on a stan- dardized reading test with mean 40 and standard deviation 7.5. Billy scored 243 on a standardized reading test with mean 250 and standard deviation 35. Assuming that the given means and standard devia- tions are for equivalent populations of third grade children, (a) which boy reads better, (b) are both boys below average, and (c) are both boys horribly behind in reading or are they both well within the normal range? Answer in full sentences, using Z-scores to justify your answer.
Transcribed Image Text:Johnny and Billy are two third grade boys. Johnny scored 38 on a stan- dardized reading test with mean 40 and standard deviation 7.5. Billy scored 243 on a standardized reading test with mean 250 and standard deviation 35. Assuming that the given means and standard devia- tions are for equivalent populations of third grade children, (a) which boy reads better, (b) are both boys below average, and (c) are both boys horribly behind in reading or are they both well within the normal range? Answer in full sentences, using Z-scores to justify your answer.
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