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3. A standard mathematics test was given to 60 girls and 80 boys. The girls made an average of 85 while the boys made

3. A standard mathematics test was given to 60 girls and 80 boys. The girls made an average of 85 while the boys made an average of 76. Construct a 90% confidence interval of the difference between the population means assuming that both populations are normally distributed with variances 64 and 36 for boys and girls respectively.

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