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 $171.66 and a sample of 23 automobiles 2 years old showed a sample standard deviation for annual repair costs of $118.73. Let 4 year old automobiles be represented by population 1. The data is located in the Microsoft Excel Online file below. Due to a recent change by Microsoft you will need to open the XLMiner Analysis ToolPak add-in manually from the home ribbon. Screenshot of ToolPak Open spreadsheet 1. State the null and alternative versions of the research hypothesis that the variance in annual repair costs is larger for the older automobiles. Ho: 0²1 Ha: ²1 ☺ 0²₂ 2. Conduct the hypothesis test at a 0.01 level of significance. Calculate the value of the test statistic (2 decimals). Calculate the critical value (2 decimals). Calculate the p-value (4 decimals).
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 $171.66 and a sample of 23 automobiles 2 years old showed a sample standard deviation for annual repair costs of $118.73. Let 4 year old automobiles be represented by population 1. The data is located in the Microsoft Excel Online file below. Due to a recent change by Microsoft you will need to open the XLMiner Analysis ToolPak add-in manually from the home ribbon. Screenshot of ToolPak Open spreadsheet 1. State the null and alternative versions of the research hypothesis that the variance in annual repair costs is larger for the older automobiles. Ho: 0²1 Ha: ²1 ☺ 0²₂ 2. Conduct the hypothesis test at a 0.01 level of significance. Calculate the value of the test statistic (2 decimals). Calculate the critical value (2 decimals). Calculate the p-value (4 decimals).
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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