Popular wisdom is that eating presweetened cereal tends to increase the number of dental caries (cavities) in children. A sample of children was (with parental consent) entered into a study and followed for several years. Each child was classified as a sweetened-cereal lover or a unsweetened cereal lover. At the end of the study, the amount of tooth damage was measured. Here are the summary data: Cereal preference Sweetened Unsweetened (d) (6.41-5.20) ± 1.96 (e) (6.41-5.20)±1.96 Assuming the necessary conditions for inference are met, which of the following is an approximate 95% confidence interval for the difference in the mean tooth damage? (a) (6.41-5.20) ± 2.262, (b) (6.41-5.20) ±2.262, (c) (6.41-5.20) ±2.145 + 5 15 + 10 15 25 225 + 10 15 25 225 10 15 25 225 + 10 15 n Mean 10 6.41 15 5.20 25 225 + V100 225 Std. Dev. 5.0 15.0

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