More cattle Recall that the beef cattle described in

QUESTION:

Problem 27E

More cattle Recall that the beef cattle described in Exercise 25 had a mean weight of 1152 pounds, with a standard deviation of 84 pounds.

a) Cattle buyers hope that yearling Angus steers will weigh at least 1000 pounds. To see how much over (or under) that goal the cattle are, we could subtract 1000 pounds from all the weights. What would the new mean and standard deviation be?

b) Suppose such cattle sell at auction for 40 cents a pound. Find the mean and standard deviation of the sale prices (in dollars) for all the steers.

Exercise 25:

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?