Question

suppose you wanted to test if the variance of the weight of domestic cars was greater than the variance of the weight of foreign cars and used an f-test to determine so. doing so would give a f-stat of

Answer 1

The F-statistic in an F-test is calculated as the ratio of the variances of two samples. In this case, if you want to test if the variance of the weight of domestic cars is greater than the variance of the weight of foreign cars, you would calculate the F-statistic as follows:

F = (variance of weights of domestic cars) / (variance of weights of foreign cars)

If the F-statistic is greater than 1, it suggests that the variance of weights of domestic cars is greater than that of foreign cars. However, to determine whether this difference is statistically significant, you would compare the F-statistic to a critical value from the F-distribution with appropriate degrees of freedom.

Without specific data on the variances of weights for domestic and foreign cars, I can’t provide a numerical value for the F-statistic. You would need to calculate this using your data.

Explanation: