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# 46. Weightlifting. The Atlas BodyBuilding Company(ABC)

## Problem 46 Chapter 16

Stats: Modeling The World | 3rd Edition

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Problem 46

46. Weightlifting. The Atlas BodyBuilding Company(ABC) sells starter sets of barbells that consist of one bar,two 20-pound weights, and four 5-pound weights. Thebars weigh an average of 10 pounds with a standard deviationof 0.25 pounds. The weights average the specifiedamounts, but the standard deviations are 0.2 pounds forthe 20-pounders and 0.1 pounds for the 5-pounders. Wecan assume that all the weights are normally distributed.a) ABC ships these starter sets to customers in twoboxes: The bar goes in one box and the six weights goin another. Whats the probability that the total weightin that second box exceeds 60.5 pounds? Define yourvariables clearly and state any assumptions you make.b) It costs ABC \$0.40 per pound to ship the box containingthe weights. Because its an odd-shaped package,though, shipping the bar costs \$0.50 a pound plus a\$6.00 surcharge. Find the mean and standard deviationof the companys total cost for shipping a starter set.c) Suppose a customer puts a 20-pound weight at oneend of the bar and the four 5-pound weights at theother end. Although he expects the two ends to weighthe same, they might differ slightly. Whats the probabilitythe difference is more than a quarter of a pound?

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##### ISBN: 9780131359581

The answer to “46. Weightlifting. The Atlas BodyBuilding Company(ABC) sells starter sets of barbells that consist of one bar,two 20-pound weights, and four 5-pound weights. Thebars weigh an average of 10 pounds with a standard deviationof 0.25 pounds. The weights average the specifiedamounts, but the standard deviations are 0.2 pounds forthe 20-pounders and 0.1 pounds for the 5-pounders. Wecan assume that all the weights are normally distributed.a) ABC ships these starter sets to customers in twoboxes: The bar goes in one box and the six weights goin another. Whats the probability that the total weightin that second box exceeds 60.5 pounds? Define yourvariables clearly and state any assumptions you make.b) It costs ABC \$0.40 per pound to ship the box containingthe weights. Because its an odd-shaped package,though, shipping the bar costs \$0.50 a pound plus a\$6.00 surcharge. Find the mean and standard deviationof the companys total cost for shipping a starter set.c) Suppose a customer puts a 20-pound weight at oneend of the bar and the four 5-pound weights at theother end. Although he expects the two ends to weighthe same, they might differ slightly. Whats the probabilitythe difference is more than a quarter of a pound?” is broken down into a number of easy to follow steps, and 194 words. The full step-by-step solution to problem: 46 from chapter: 16 was answered by Sieva Kozinsky, our top Statistics solution expert on 09/27/17, 05:08PM. Since the solution to 46 from 16 chapter was answered, more than 1183 students have viewed the full step-by-step answer. Stats: Modeling The World was written by Sieva Kozinsky and is associated to the ISBN: 9780131359581. This full solution covers the following key subjects: pound, weights, pounds, bar, ABC. This expansive textbook survival guide covers 26 chapters, and 1043 solutions. This textbook survival guide was created for the textbook: Stats: Modeling The World , edition: 3.

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