14. SAT Verbal Scores Do students who learned English andanother language simultaneously score worse on the SAT CriticalReading exam than the general population of test takers? Themean score among all test takers on the SAT Critical Readingexam is 501. A random sample of 100 test takers who learnedEnglish and another language simultaneously had a mean SATCritical Reading score of 485 with a standard deviation of 116.Do these results suggest that students who learn English as wellas another language simultaneously score worse on the SATCritical Reading exam?(a) State the appropriate null and alternative hypotheses.(b) Verify that the requirements to perform the test using thet-distribution are satisfied.(c) Use the classical or P-value approach at the a = 0.1 level ofsignificance to test the hypotheses in part (a).

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Answered: 14. SAT Verbal Scores Do students who…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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One personality test available on the World Wide Web has a subsection designed to assess the "honesty" of the test-taker. After taking the test and seeing your score for this subsection, you're interested in the mean score, µ, among the general population on this subsection. The website reports that µ is 142, but you believe that u is less than 142. You decide to do a statistical test. You choose a random sample of people and have them take the personality test. You find that their mean score on the subsection is 135 and that the standard deviation of their scores is 28. Based on this information, answer the questions below. What are the null hypothesis (H) and the alternative hypothesis (H,) that should be used for the test? Ho: u is ? ? |H,: µ is ? H : ? In the context of this test, what is a Type II error? A Type II error is ? v the hypothesis that u is ? v when, in fact, μ is| ? ? Suppose that you decide not to reject the null hypothesis. What sort of error might you be making? ?
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The Survey of Study Habits and Attitudes (SSHA) is a psychological test that measures students' study habits and attitudes toward school. The survey yields several scores, one of which measures student attitudes toward studying. The mean student attitude score for college students is about 30, and standard deviation is about 12. A researcher in the Philippines is concerned about the declining performance of college graduates on professional licensure and board exams. She suspects that poor attitudes of students are partly responsible for the decline and that the mean for college seniors who plan to take professional licensure or board exams is less than 30. She gives the SSHA to an SRS of 144 college seniors in the Philippines who plan to take professional licensure or board exams. Suppose we know that the student attitude scores in the population of such students are Normally distributed with standard deviation σ = 12. (a) We seek evidence against the claim that μ = 30. What is the…
6. Explain the reasoning behind announcing one's choice of using a one-tailed test before performing the statistical analysis on an observed data set.
One personality test available on the World Wide Web has a subsection designed to assess the "honesty" of the test-taker. After taking the test and seeing your score for this subsection, you're interested in the mean score, µ, among the general population on this subsection. The website reports that u is 148, but you believe that u is greater than 148. You decide to do a statistical test. You choose a random sample of people and have them take the personality test. You find that their mean score on the subsection is 155 and that the standard deviation of their scores is 28. Based on this information, answer the questions below. What are the null hypothesis (H,) and the alternative hypothesis (H,) that should be used for the test? H: u is ? |H;: µ is ? ? In the context of this test, what is a Type I error? A Type I error is ? fact, u is ? v the hypothesis that u is ? v? v. when, in Suppose that you decide to reject the null hypothesis. What sort of error might you be making? ?
claim that the mean IQ score of people With low blood lead levels is higher than the mean IQ score of people with high blood lead levels.

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