Suppose a new standardized test is given to 100 randomly selected third-grade students in New Jersey. The sample average score Y on the test is58 points, and the sample standard deviation, Sy, is 8 points.a. The authors plan to administer the test to all third-grade students inNew Jersey. Construct a 95% confidence interval for the mean scoreof all New Jersey third graders.b. Suppose the same test is given to 200 randomly selected third gradersfrom Iowa, producing a sample average of 62 points and sample stan-dard deviation of 11 points. Construct a 90% confidence interval forthe difference in mean scores between Iowa and New Jersey.c. Can you conclude with a high degree of confidence that the popula-tion means for Iowa and New Jersey students are different? (What isthe standard error of the difference in the two sample means? Whatis the p-value of the test of no difference in means versus some differ-ence?)

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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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