According to Wikipedia, the average weight of an adult male in the U.S. is 197.7 pounds with a standard deviation of 18 pounds, while the average adult female weighs 168.7 pounds with a standard deviation of 15 pounds. Both weights vary according to a Normal distribution.
7.) If you randomly selected one adult woman, what is the probability that her weight exceeds (is higher than) 130 pounds?
Suppose you randomly selected one adult male and one adult female from the entire U.S. population. Let the variable D = the difference in their weights (male – female).
8.) Calculate and interpret the mean of D.
9.) Interpret your answer from #8 in context.
10.) Calculate the standard deviation of D.
11.) Calculate the probability that the randomly selected male would weigh less than the randomly selected female.