Question

Assignment Score 0.00% Time Remaining 3:52-49 Submit Assignment for Gradings Save Questions Exercise 11.17 (Self-Test) Algorithmic Question 9 of 12 7. Video C 10. Most individuals are aware of the fact that the average annual repair cost for an automobile depends on the age of the automobile. A researcher is interested in finding out whether the variance of the annual repair costs also increases with the age of the automobile. A sample of 26 automobiles 4 years old showed a sample standard deviation for annual repair costs of $120 and a sample of 24 automobiles 2 years old showed a sample standard deviation for annual repair costs of $100. Let 4 year old automobiles be C 11 12. represented by population 1. a. State the null and alternative versions of the research hypothesis that the variance in annual repair costs is larger for the older automobiles Ho Select Ha select b. Conduct the hypothesis test at a .01 level of significance Calculate the value of the test statistic (to 2 decimals) The p value is Select What is your condusion? Select OO To

Answer 1

Ansacex Given that A sample o 96 automobiles yas old Annual repai cast is 120o 2u automobi les 2yaras old A sample oP Armual nepai Cost is oo The test hynothesis qiven below hypothosis Null H signiticarce di Poxerce in Varsiance au si aYL annual e pais cost is less thon the aldes automabi les. Attesnative hypohasis signilicance dilReerce in voaianee Those is o tha annual epais cost is qcates Hon the oldes automobiles . (b Find he blue d F-statistic'- Pamla Po F-stastistic \s given belaw. The Si

9 Substitute S 1o0 120)2 Thus, the value of statistics is Compute to p-Value!. dogaces o odom is, Given n -26-1 cnq- -2u-| 23 Foom F distibutim table ,undes he Conderco level O o0l is o:99 the degres oPeacdom nurmesat I. in the cdumn 26 28 in the column 23 :2.819 Thus, ta p-Value o 63) ' E8E.7-b18.35

Conclusion signiticance level, 0:01 Use the P Nalue is qgseates than the level of signikcance. Heze That is P-Value -0:032 7 :0:01 Thenelae, by the gejecin oule, do rot iPu af tdla Thus, there is mo Fypothesis (H) Signiicaree dileerce in Vasiance Of the anual epai Cast is less than He aldes automobiles.