Construct heights for 3 or more sets of twins (6 or more people). Make the twins similar, but not exactly the same, in height. Put all of the shorter twins in set A and all of the taller twins in set B. Create the numbers such that a two-sample t-test will not show a significant difference in the mean heights of the shortest of each pair, and the mean heights of the tallest of each pair, but the paired t-test does show a significant difference. ( Make one of the pairs really tall, one of the pairs really short, and one of the pairs in between.) Report all the numbers and the t- and p-values for the tests. Explain why the paired t-test shows a difference and the twosample t-test does not show a difference. Remember that 5 feet is 60 inches and that 6 feet is 72 inches.
