A study was conducted to determine whether an expectant mothers cigarette smoking has any effect on the bone mineral content of her otherwise healthy child. A sample of 80 newborns whose mothers smoked during pregnancy has a mean bone mineral content of 0.098 g/cm and a standard deviation of 0.027 g/cm; a sample of 230 infants whose mothers did not smoke has a mean of 0.092 g/cm and a standard deviation of 0.023 g/cm. Assume that the underlying population variances are equal.

(1) (10 points) Test the null hypothesis that the two populations of infants have the same mean bone mineral content at the 0.05 level of significance.

H_0:

H_A:

Test statistic:

P-value:

Conclusion:

Interpretation:

(2) (4 points) Construct a two-sided 90% confidence interval for the true difference in population means.

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