In an international mathematics competition, the mean score obtained was 54.0 and the standarddeviation was 9.0. At ABC High School, in one of the participating countries, 40 students entered thecompetition and their mean score was 57.0.The principal of ABC High School states that his students scored better than the international average.(i) Perform a significance test at 1 % to show that the principal is NOT justified in makingthis statement.(ii) Is the principal justified in making this statement at the 5 % significance level?

Given The data is as follows: Pop mean, μ=54.0Pop sd, σ=9.0Sample size, n=40Sample mean, x¯=57.0

Answered: In an international mathematics…

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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Students in the senior capstone course (N=36) at Central State University took the Political Science subtest developed by the National Board Testing Association. The test is a 75-item, multiple choice test covering all areas of political science. The national norms for the test show a mean of 50. The mean for the students in the capstone course was 55, with a standard deviation of 15. Did the students at CSU score significantly higher than the national average? State your null and alternative hypothesis Is this a one-or-two tailed hypothesis? Explain thoroughly. Calculate the appropriate statistical test. Can you reject the null hypothesis? Why or why not?
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