The average number of pounds of meat that a personconsumes per year is 218.4 pounds. Assume that the standarddeviation is 25 pounds and the distribution is approximatelynormal.
a) Find the probability that a person selected at randomconsumes less than 224 pounds of meat per year. Calculate thez-score manually, and use StatCrunch or the Standard Normal Tableto calculate the probability, rounding to four decimal places. (4points)
b) If a sample of 40 individuals were selected randomly,find the probability that the mean of the sample will be less than224 pounds per year. Calculate the z-score manually, and useStatCrunch or the Standard Normal Table to calculate theprobability, rounded to four decimal places. (4points)
c) Why are the probabilities in parts (a) and (b) sodifferent? (2 points)
