Adults aged 16 or older were assessed in three types of literacy in 2003: prose, document, and quantitative. The scores in document literacy were the same for 19- to 24-year-olds and for 40- to 49-year-olds. A random sample of scores from a later year showed the following statistics. Age group Mean Score Population Standard Deviation Sample Size 19-24 280 56.2 40 40-49 315 52.1 35 Construct a 95% confidence interval for the true difference in mean scores for these two groups.

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Adults aged 16 or older were assessed in three types of literacy in 2003: prose, document, and quantitative. The scores in document literacy were the same for 19- to 24-year-olds and for 40- to 49-year-olds. A random sample of scores from a later year showed the following statistics.
Age group Mean Score Population Standard Deviation Sample Size
19-24
280
56.2
40
40-49
315
52.1
35
Construct a 95% confidence interval for the true difference in mean scores for these two groups.

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