The College Board reported the following mean scores for the three parts of the Scholastic Aptitude Test (SAT) (The World Almanac, 2009): Critical Reading Mathematics 502 515 Writing 494 Assume that the population standard deviation on each part of the test is o = 100. What is the probability a 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? 0.7452 b. What is the probability a 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?0,6578 Compare this probability to the value computed in part (a). c. What is the probability a 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)..682 a.

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25. The College Board reported the following mean scores for the three parts of the Scholastic
Aptitude Test (SAT) (The World Almanac, 2009):
502
Critical Reading
Mathematics
515
Writing
494
Assume that the population standard deviation on each part of the test is o = 100.
What is the probability a 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? 0.7458
What is the probability a 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?0,6578
Compare this probability to
What is the probability a 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). 0.6826
a.
b.
value computed in part (a).
c.
620.00A
Transcribed Image Text:25. The College Board reported the following mean scores for the three parts of the Scholastic Aptitude Test (SAT) (The World Almanac, 2009): 502 Critical Reading Mathematics 515 Writing 494 Assume that the population standard deviation on each part of the test is o = 100. What is the probability a 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? 0.7458 What is the probability a 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?0,6578 Compare this probability to What is the probability a 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). 0.6826 a. b. value computed in part (a). c. 620.00A
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