For a standardized exam at your school, the mean score is 112 with a standard deviation of 15. You are a reporter for the school newspaper and want to know ifthe standard deviation, O, is different among student athletes. To find out, you survey a random sample of 21 student athletes. You find that, for the sample,the mean score is 115 with a standard deviation of 12. If we assume the exam scores for student athletes follow an approximately normal distribution, is thereenough evidence to conclude, at the 0.10 level of significance, that the standard deviation is different among student athletes?Perform a two-tailed test. Then complete the parts below.Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.)(a) State the null hypothesis Ho and the alternative hypothesis H₁.Ho :OH₂:0(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 two critical values. (Round to three or more decimal places.)and(e) Can we conclude that the standard deviation of exam scores among studentathletes differs from 15?O Yes O NoHIxDS0-0 OSOXO#O OOŚ

Given that Sample size n =21 Sample mean=115 Population standard deviation =15 NOTE:- According to…

Answered: score is 115 with a standard deviation…

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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A simple random sample of size n=15is drawn from a population that is normally distributed. The sample mean is found to be x=22.5 and the sample standard deviation is found to be s=6.3. Determine if the population mean is different from 25 at the α=0.01 level of significance. Complete parts (a) through (d) below.
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