12. The mean SAT score in math is 571. The standard deviation of these scorews is 48. a special preparation course claims that the mean SAT score of its graduates is greater than 571. An independent researcher tests this by taking a random sample of 100 students who completed the course; the mean SAT score in math for the sample was 583. At the 0.10 level of significance, can we conclude that the population mean SAT score for graduates of the course is greater than 571? Assume that the population standard deviation of the scores of course graduates is also 48. Round answers to 3 decimal places.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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12. The mean SAT score in math is 571. The standard deviation of these scorews is 48. a special
preparation course claims that the mean SAT score of its graduates is greater than 571. An independent
researcher tests this by taking a random sample of 100 students who completed the course; the mean
SAT score in math for the sample was 583. At the 0.10 level of significance, can we conclude that the
population mean SAT score for graduates of the course is greater than 571? Assume that the population
standard deviation of the scores of course graduates is also 48. Round answers to 3 decimal places.
(a) State the null hypothesis Ho and the alternative hypothesis H₁.
H:0
H₁:0
(b) Determine the type of test statistic to use.
(c) Find the value of the test statistic. (Round to three or more decimal places.)
(d) Find the p-value. (Round to three or more decimal places.)
0
(e) Can we support the preparation course's claim that the population mean SAT
score of its graduates is greater than 571?
Yes O No
Transcribed Image Text:12. The mean SAT score in math is 571. The standard deviation of these scorews is 48. a special preparation course claims that the mean SAT score of its graduates is greater than 571. An independent researcher tests this by taking a random sample of 100 students who completed the course; the mean SAT score in math for the sample was 583. At the 0.10 level of significance, can we conclude that the population mean SAT score for graduates of the course is greater than 571? Assume that the population standard deviation of the scores of course graduates is also 48. Round answers to 3 decimal places. (a) State the null hypothesis Ho and the alternative hypothesis H₁. H:0 H₁:0 (b) Determine the type of test statistic to use. (c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the p-value. (Round to three or more decimal places.) 0 (e) Can we support the preparation course's claim that the population mean SAT score of its graduates is greater than 571? Yes O No
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