Suppose that we convert the 50 samples referred to on page 197 into 25 samples of size \(n=20\) by combining the first two, the next two, and so on. Find the means of these samples and calculate their mean and their standard deviation. Compare this mean and this standard deviation with the corresponding values expected in accordance with Theorem 6.1.

Data From Theorem 6.1

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Frequency [2.0, 3.0) [3.0, 4.0) 14 [4.0, 5.0) 19 [5.0, 6.0) 12 24923 [6.0, 7.0) 50