A specialty foods company sells "gourmet steaks." The steaks vary in size, with a mean uncooked weight of 1.4 pounds and standard deviation 0.20 pound. Use a normal model for the weight of a steak. Complete parts (a) through (d)
(Round to four decimal places as needed.)
(b) If a standard order has 7 steaks, then what model can be used to describe the total weight of the steaks in a standard order? (Do you need to make any assumptions?)
Assuming that the random variables for the weights of the individual steaks are independent and identically distributed, the mean of the model for the total weight is 9.8 pound(s) and the standard deviation of the model for the total weight is 0.53 pound(s)
(Round to two decimal places as needed.)
(c) If the weights are converted to ounces (16 ounces = 1 pound), then what normal model would be appropriate for the weight of an individual steak?
The mean of the model for an individual steak in ounces is 22.40 ounces(s) and the standard deviation of the model for an individual steak in ounces is 3.20 ounces(s)
(Round to two decimal places as needed.)
(d) The lower quartile, median, and upper quartile of the weights of the steaks are 1.25 pounds, 1.4 pounds, and 1.55 pounds, respectively. Do these summaries suggest that the use of a normal model is appropriate?
No, because the expected lower quartile is , the expected median is , and the expected upper quartile is
(Round to two decimal places as needed.)
