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An experiment is conducted comparing the effectiveness of a new method of teaching algebra for eighth-grade students. Twelve gifted and 12 regular students are taught using this method. Their scores on a ?nal exam are shown in the following table.
Average
58
69
55
65
88
52
99
76
45
86
79
Gifted
77
84
93
91
87
95
68
78
74
(a) Compute the 95% con?dence interval on the difference between the mean of the students being taught by this new method.
(b) Construct a 95% con?dence interval for the ratio of variance in test scores for regular and gifted students, σ2/σ2.
1 2
(c) What are the assumptions you made in parts (a) and (b)? Are these assumptions justi?ed?
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