A friend tells you that the he is a faster runner than you are. As you are not convinced, you challenge your friend to weekly races for a year, and time each of you in each race. Each week, you write down your and your friend's race time in a table.

Which would be the most appropriate test to use to show if the data is consistent with your friend's claim?

A test of the mean

A test of the mean difference

A test of a single variance

A test of the inequality of two variances