3. (This problem is required to submit) The College Board reported the following mean scores for the three parts of the Scholastic Aptitude Test (SAT): Critical Reading 502 Mathematics 515 Writing 494 Assume that the population standard deviation on each part of the test is o = 100. a. What is the probability a random sample of 90 test takers will provide a sample mean test score within 10 points of the population mean of 502 on the Critical Reading part of the test? (33%) (Note: without calculation process, no credit) b. What is the probability a random sample of 90 test takers will provide a sample mean test score within 10 points of the population mean of 515 on the Mathematics part of the test? Compare this probability to the value computed in part (a). (33%) (Note: without calculation process and explanation, no credit) c. What is the probability a random sample of 100 test takers will provide a sample mean test score within 10 of the population mean of 494 on the writing part of the test? Comment on the differences between this probability and the values computed in parts (a) and (b). (34%) (Note: without.calculation nrocess and exnlanation no credit).

A First Course in Probability (10th Edition)
10th Edition
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Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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3. (This problem is required to submit) The College Board reported the following mean scores for the
three parts of the Scholastic Aptitude Test (SAT):
Critical Reading
502
Mathematics
515
Writing
494
Assume that the population standard deviation on each part of the test is o = 100.
a. What is the probability a random sample of 90 test takers will provide a sample mean test score
within 10 points of the population mean of 502 on the Critical Reading part of the test? (33%)
(Note: without calculation process, no credit)
b. What is the probability a random sample of 90 test takers will provide a sample mean test score
within 10 points of the population mean of 515 on the Mathematics part of the test? Compare this
probability to the value computed in part (a). (33%) (Note: without calculation process and
explanation, no credit)
c. What is the probability a random sample of 100 test takers will provide a sample mean test score
within 10 of the population mean of 494 on the writing part of the test? Comment on the
differences between this probability and the values computed in parts (a) and (b). (34%) (Note:
without.calculation nrocess and exnlanation no credit).
Transcribed Image Text:3. (This problem is required to submit) The College Board reported the following mean scores for the three parts of the Scholastic Aptitude Test (SAT): Critical Reading 502 Mathematics 515 Writing 494 Assume that the population standard deviation on each part of the test is o = 100. a. What is the probability a random sample of 90 test takers will provide a sample mean test score within 10 points of the population mean of 502 on the Critical Reading part of the test? (33%) (Note: without calculation process, no credit) b. What is the probability a random sample of 90 test takers will provide a sample mean test score within 10 points of the population mean of 515 on the Mathematics part of the test? Compare this probability to the value computed in part (a). (33%) (Note: without calculation process and explanation, no credit) c. What is the probability a random sample of 100 test takers will provide a sample mean test score within 10 of the population mean of 494 on the writing part of the test? Comment on the differences between this probability and the values computed in parts (a) and (b). (34%) (Note: without.calculation nrocess and exnlanation no credit).
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