[EX09-027] Our modern meat or chicken

“broiler” can weigh 5.5 lb at 49 days, a common time to sell the broiler to a meat processor. Before a poultry farmer sells her broilers, she wants to estimate the mean weight of the flock. She selects a random sample of 15 from the current 7-week old broilers and obtains their weights (in ounces): 74.9 74.2 73.9 72.6 70.4 66.9 76.6 73.3 75.4 78.9 76.6 75.2 73.6 78.6 70.4

a. How many ounces is 5.5 lb? How many pounds is 74.9 oz?

b. Show evidence that the normality assumptions are satisfied.

c. Calculate the sample statistics mean and standard deviation.

d. Estimate the mean weight per broiler using a 98% confidence interval.

e. If the farmer sells 1000 broilers, construct a 98% confidence interval for total weight, in pounds.