The birth weights for two groups of babies were compared in astudy. In one group the mothers took a zinc supplement duringpregnancy. In another group, the mothers took a placebo. A sampleof 227 babies in the zinc group had a mean birth weight of 3255grams. A sample of 276 babies in the placebo group had a mean birthweight of 30023002 grams. Assume that the population standarddeviation for the zinc group is 708 grams, while the populationstandard deviation for the placebo group is 661 grams. Determinethe 90%Â Â confidence interval for the true differencebetween the mean birth weights for \"zinc\" babies versus \"placebo\"babies.
Step 2 of 3 :Â Â
Calculate the margin of error of a confidence interval for thedifference between the two population means. Round your answer tosix decimal place
