Problem 56
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. The bars weigh an average of 10 pounds with a standard deviation of 0.25 pounds. The weights average the specified amounts, but the standard deviations are 0.2 pounds for the 20-pounders and 0.1 pounds for the 5-pounders. We can assume that all the weights are normally distributed. a) ABC ships these starter sets to customers in two boxes: The bar goes in one box and the six weights go in another. Whats the probability that the total weight in that second box exceeds 60.5 pounds? Define your variables clearly and state any assumptions you make. b) It costs ABC $0.40 per pound to ship the box containing the 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 deviation of the companys total cost for shipping a starter set. c) Suppose a customer puts a 20-pound weight at one end of the bar and the four 5-pound weights at the other end. Although he expects the two ends to weigh the same, they might differ slightly. Whats the probability the difference is more than a quarter of a pound?

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ST 260 Chapter 5 Note. Part 1 – 2/10/14 Prof. Cali Davis Quick Recall: Quantitative Variables: differences that have meaning to them, such as age, income, height, and weight. Qualitative Variable (OR categorical): putting people or things into classifications. Such as: gender, race, occupation, country, or political affliction. Statistics can be described as “the science of decisionmaking in the face of uncertainty” (An educated guess) So how do we measure uncertainty Using probability: A numerical value or measure of the LIKLIHOOD that a certain outcome or event occurs. P(A)= probability of eventA

Since the solution to 56 from 15 chapter was answered, more than 241 students have viewed the full step-by-step answer. Stats Modeling the World was written by and is associated to the ISBN: 9780321854018. This full solution covers the following key subjects: . This expansive textbook survival guide covers 31 chapters, and 1357 solutions. The full step-by-step solution to problem: 56 from chapter: 15 was answered by , our top Statistics solution expert on 03/16/18, 04:57PM. The answer to “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. The bars weigh an average of 10 pounds with a standard deviation of 0.25 pounds. The weights average the specified amounts, but the standard deviations are 0.2 pounds for the 20-pounders and 0.1 pounds for the 5-pounders. We can assume that all the weights are normally distributed. a) ABC ships these starter sets to customers in two boxes: The bar goes in one box and the six weights go in another. Whats the probability that the total weight in that second box exceeds 60.5 pounds? Define your variables clearly and state any assumptions you make. b) It costs ABC $0.40 per pound to ship the box containing the 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 deviation of the companys total cost for shipping a starter set. c) Suppose a customer puts a 20-pound weight at one end of the bar and the four 5-pound weights at the other end. Although he expects the two ends to weigh the same, they might differ slightly. Whats the probability the difference is more than a quarter of a pound?” is broken down into a number of easy to follow steps, and 215 words. This textbook survival guide was created for the textbook: Stats Modeling the World, edition: 4.