Cattle Using N(1152, 84), the Normal model for weights of Angus steers in Exercise 9, a) How many standard deviations from the mean would a steer weighing 1000 pounds be? b) Which would be more...

Cattle Using N(1152, 84), the Normal model for weights of Angus steers in Exercise 9,

a) How many standard deviations from the mean would a steer weighing 1000 pounds be?

b) Which would be more unusual, a steer weighing 1000 pounds or one weighing 1250 pounds?

Exercise 9

Normal cattle The Virginia Cooperative Extension reports that the mean weight of yearling Angus steers is 1152 pounds. Suppose that weights of all such animals can be described by a Normal model with a standard deviation of 84 pounds. What percent of steers weigh

a) over 1250 pounds?

b) under 1200 pounds?

c) between 1000 and 1100 pounds?