There are dozens of personality tests available on the internet. One test, scored on a scale of 0 to 200, is designed to give an indication of how "personable" thetest taker is, with higher scores indicating more "personability."Suppose that scores on this test have a mean of 102 and a standard deviation of 23. Complete the following statements about the distribution of scores on thispersonality test.(a) According to Chebyshev's theorem, at least (Choose one) ▼of thescores lie between 56 and 148.(b) According to Chebyshev's theorem, at least 84% of the scores liebetween and. (Round your answer to the nearest whole number.)

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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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1.)The Empirical Rule states that approximately 68% of the sample means will land between μ?̅−1??̅???μ?̅+1??̅, about 95% of the sample means will land between μ?̅−2??̅???μ?̅+2??̅, about 99.7% of the sample means will land between μ?̅−3??̅???μ?̅+3??̅. a.How manystandard deviations are necessary to capture 68% of the sample means? b.How many standard deviations are necessary to capture 95% of the sample means? c.How many standard deviations are necessary to capture 99.7% of the sample means?
Three experiments investigating the relation between need for cognitive closure and persuasion were performed. Part of the study involved administering a "need for closure scale" to a group of students enrolled in an introductory psychology course. The "need for closure scale" has scores ranging from 101 to 201. For the 75 students in the highest quartile of the distribution, the mean score was x = 176.90. Assume a population standard deviation of ? = 7.71. These students were all classified as high on their need for closure. Assume that the 75 students represent a random sample of all students who are classified as high on their need for closure. Find a 95% confidence interval for the population mean score ? on the "need for closure scale" for all students with a high need for closure. (Round your answers to two decimal places.)
Professor Nord stated that the mean score on the final exam from all the years he has been teaching is a 79%. Colby was in his most recent class, and his class’s mean score on the final exam was 82%. Colby decided to run a hypothesis test to determine if the mean score of his class was significantly greater than the mean score of the population. α = .01. What is the mean score of the population? What is the mean score of the sample? Is this test one-tailed or two-tailed? Why?
3a) The mean IQ of 200 patients in a psychiatric hospital is 91, with a variance of 16, and the distribution is highly negatively skewed. Between what two IQ scores would we expect to find at least 160 of the patients falling? b) If the distribution was mound-shaped and symmetrical, with the same mean and standard deviation as in part A, approximately how many patients would have IQ scores at or below the 5th percentile or above a score of 97? Answers: a) 82 to 100 b) 28.5 or 29
It is assumed that standardized test scores should be correlated with students' classroom performance. One would expect that students who consistently perform well in the classroom (on tests, quizzes, etc.) would also perform well on a standardized test scored from 0-100 (with 100 indicating high achievement). A teacher decides to examine this hypothesis. At the end of the academic year, she collects the following data for her (admittedly small) class: Standardized test score Overall GPA 56 1.8 1 73 2.6 2 78 2.9 3 83 2.9 4 85 3.0 5 rows x 2 columns What is your best guess for the expected GPA of a student who scored a 88 on the standardized test? number (rtol=0.01, atol=0.0001) Determine a 95% confidence interval for the expected GPA of a student who scored a 76 on the standardized test. Ib number (rtol=0.01, atol=0.0001) ub number (rtol=0.01, atol=0.0001)
I need help with parts 2,3, and 6
A sample of n = 64 scores has a mean of M = 45 and an estimated standard error of 3 points. What is the sample variance? Select one: a. s2 = 113 b. s2 = 576 c. s2 = 498 d. s2 = 502

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