More cattle Recall that the beef cattle described in Exercise 29 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.

32.Car speeds 100 again For the car speed data in Exercise 30, recall that the mean speed recorded was 23.84 mph, with a standard deviation of 3.56 mph. To see how many cars are speeding, John subtracts 20 mph from all speeds.

a) What is the mean speed now? What is the new standard deviation?

b) His friend in Berlin wants to study the speeds, so John converts all the original miles-per-hour readings to kilometers per hour by multiplying all speeds by 1.609 (km per mile).

What is the mean now? What is the new standard deviation?