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(a) State the null hypothesis H and the alternative hypothesis H,. H, :0 H, :0 (b) Determine the type of test statistic to use. |(Choose one) (c) Find the value of the test statistic. (Round to three or more decimal places.)

(a) State the null hypothesis H and the alternative hypothesis H,. H, :0 H, :0 (b) Determine the type of test statistic to use. |(Choose one) (c) Find the value of the test statistic. (Round to three or more decimal places.)

MATLAB: An Introduction with Applications
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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An examination in psychology has been taken by psychology majors and also by some students from other majors. It is widely believed that the scores for both groups are normally distributed. A random sample of 23 examinations completed by psychology majors and an independent random sample of 18 examinations completed by students from other majors are selected. Among sampled students, the psychology majors scored a mean of 521.7 points with a variance of 10,000, and the students from other majors scored a mean of 498.9 points with a variance of 27,093.16. Can we conclude, at the 0.01 significance level, that 2 the population variance of scores of psychology majors, o, is less than o,, the population variance of scores of other majors? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places, and round your answers as specified below. (If necessary, consult a list of formulas.)
Transcribed Image Text:An examination in psychology has been taken by psychology majors and also by some students from other majors. It is widely believed that the scores for both groups are normally distributed. A random sample of 23 examinations completed by psychology majors and an independent random sample of 18 examinations completed by students from other majors are selected. Among sampled students, the psychology majors scored a mean of 521.7 points with a variance of 10,000, and the students from other majors scored a mean of 498.9 points with a variance of 27,093.16. Can we conclude, at the 0.01 significance level, that 2 the population variance of scores of psychology majors, o, is less than o,, the population variance of scores of other majors? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places, and round your answers as specified below. (If necessary, consult a list of formulas.)
(a) State the null hypothesis H, and the alternative hypothesis H, . H, :0 H, :0 (b) Determine the type of test statistic to use. (Choose one) (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.) (e) Can we conclude that the variance of all scores of psychology majors is less than the variance of all scores of other majors? Yes ONo
Transcribed Image Text:(a) State the null hypothesis H, and the alternative hypothesis H, . H, :0 H, :0 (b) Determine the type of test statistic to use. (Choose one) (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.) (e) Can we conclude that the variance of all scores of psychology majors is less than the variance of all scores of other majors? Yes ONo
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