A bottled water company bottles varying sizes of water, from 8-ounce to 1-gallon containers. The company has determined that the mean quantity in their 20-ounce bottles is 20.8 ounces with a standard deviation of 0.6
ounces. The bottling plant manager believes his machines are overfilling the bottles. A random sample of 30
bottles is taken, and the mean number of ounces of water is determined to be 20.9. Under the assumption that
the true mean ounces of water is 20.8, 100 simulated means for samples of size 30 are shown in the dotplot.

Data from 2005 for various age groups show that for each $100 increase in the median weekly income for whites, the median weekly income of blacks increases by $105. also, for workers of ages 25 to 54 the median weekly income for whites was $676 and for blacks was $527. (a) let w represent the median weekly income for whites and b the median weekly income for blacks, and write the equation of the line that gives b as a linear function of w. b = (b) when the median weekly income for whites is $760, what does the equation in (a) predict for the median weekly income for blacks?