5. ANOVA test performed determined that not all mean commute times across the fo

Question

5. ANOVA test performed determined that not all mean commute times across the four cities are equal. However, it did not indicate which means differed. To find out which population means differ requires further analysis of the direction and the statistical significance of the difference between paired population means. Tukey 95% confidence intervals are shown below.

here is the question and answer:

The conclusion of the Tukey confidence intervals is:

A.           The mean commute time in Houston is different from the mean commute time in Charlotte, Tucson, and Akron.

what are the calculations?

Explanation / Answer

You need to be provided a threshold value to perform detailed analysis.

As is evident from the table, the commute time between Houston and any city is greater than that between any 2 other cities. This gives an intuitive result that the commute time in Houston is greater.

However, to calculate specifics, we need a confidence interval, which can be constructed only if the mean is provided.

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