Explore BrainMass
Share

# Testing of variance with chi-square

This content was STOLEN from BrainMass.com - View the original, and get the solution, here!

Hybrid Vehicle Gas Mileage. An automotive manufacturer believes that the variance of the gas mileage for its hybrid vehicles is 7.5. You work for an energy conservation agency and want to test this claim. You find that a random sample of the miles per gallon of 25 of the manufacturer's hybrid vehicles has a variance of 8.0. Let OX = 0:05.
13. Identify H0 and Ha. (Note: Remember you are not testing the mean, so 2, not  should be used.)
14. Find the critical values.
15. Find 2, the standardized test statistic.
16. Decide whether to reject or fail to reject the null hypothesis.
17. Interpret the decision in the context of the original claim.

© BrainMass Inc. brainmass.com September 23, 2018, 8:29 pm ad1c9bdddf - https://brainmass.com/statistics/random-variables/testing-variance-chi-square-564836

#### Solution Preview

Hybrid Vehicle Gas Mileage. An automotive manufacturer believes that the variance of the gas mileage for its hybrid vehicles is 7.5. You work for an energy conservation agency and want to test this claim. You find that a random sample of the miles per gallon of 25 of the manufacturer's hybrid vehicles has a variance of ...

#### Solution Summary

This solution is comprised of a detailed explanation of testing of variance with chi-square test. This solution mainly discussed the testing of variance using chi-square test. A logical answer is given for every situation for better clarity on using the interpretation of testing of hypothesis for variance. A step by step answer is provided for better clarity and understanding.

\$2.19