The National Center for Health Statistics recently estimated that the mean weight for adult American women was 140 pounds in 1962 and 166 pounds in 2010.

(a) Suppose these estimates had standard errors of 2 pounds each year. Estimate the increase in mean weight in the population from 1962 to 2010, and find and interpret the standard error of that estimate.

(b) Show that the estimated mean in 2010 was 1.19 times the estimated mean in 1962. Express this in terms of the percentage increase.

(c) The estimated mean weights for men were 166 pounds in 1962 and 196 in 2010. Find and interpret the difference and the ratio.