Question 1
While the scales histograms are the same, there is something that could be improved so that we could compare these two distributions better. Identify this improvement and explain why it would be better.Question 2
Although most of us buy milk by the quart or gallon, farmers measure daily production in pounds. Guernsey cows average 39 pounds of milk a day with a standard deviation of 8 pounds. For Jerseys the mean daily production is 43 pounds with a standard deviation of 5 pounds. When being shown at a state fair a champion Guernsey and a champion Jersey each gave 54 pounds of milk. Which cow's milk production was more remarkable? Explain.Answer 1
The frequency scales are not the same for the two histograms. If we converted each of the frequency histograms to a relative frequency histogram, we would be better able to compare the frequencies for each distribution at the heights.Answer 2
The Jersey's milk production was comparatively higher. That cow gave slightly more than 2 standard deviations above the average amount of milk (z = 2.2), while the Guernsey gave less than 2 standard deviations more than the average for Guernseys (z = 1.875).