Question: Problem 12.3 (a) Table 12.1 indicates that the first two students taught by method 3 obtained different scores (28 and 30) on the arithmetic test.

Problem 12.3

(a) Table 12.1 indicates that the first two students taught by method 3 obtained different scores (28 and 30) on the arithmetic test. What feature of the statistical model (Equation 12.1) accounts for this?

(b) As shown in Table 12.1, three students taught by method 1 scored a 24 on the arithmetic test and one student in group 3 scored a 23, even though the group 3 mean (27.44) is larger than the group 1 mean (19.67). What feature of the statistical model (12.1) accounts for this?

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