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# An automated filling machine fills soft-drink cans, and

ISBN: 9781118539712 55

## Solution for problem 70E Chapter 5.4

Applied Statistics and Probability for Engineers | 6th Edition

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Applied Statistics and Probability for Engineers | 6th Edition

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Problem 70E

An automated filling machine fills soft-drink cans, and the standard deviation is 0.5 fluid ounce. Assume that the fill volumes of the cans are independent, normal random variables.

(a) What is the standard deviation of the average fill volume of 100 cans?

(b) If the mean fi ll volume is 12.1 oz, what is the probability that the average fill volume of the 100 cans is less than 12 oz?

(c) What should the mean fill volume equal so that the probability that the average of 100 cans is less than 12 oz is 0.005?

(d) If the mean fill volume is 12.1 oz, what should the standard deviation of fill volume equal so that the probability that the average of 100 cans is less than 12 oz is 0.005?

(e) Determine the number of cans that need to be measured such that the probability that the average fill volume is less than 12 oz is 0.01.

Step-by-Step Solution:

Chemistry 1: Chapter 1 Notes A highlight & bold= Definition *= conversion factor or unit/formula Bold= Examples & things you should know The Study of Chemistry  Chemistry-The study of matter and the changes that matter undergoes.  Matter- anything that has a mass and occupies space. The Scientific Method  Step 1: Gather data from observations and experiments. An observation is something that you can see it can be a natural phenomenon and measured events. Example: The milk is lumpy so it has spoiled. (Natural phenomenon) There are 5 dogs with 4 legs because of a mutation (measured events). 

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##### ISBN: 9781118539712

Since the solution to 70E from 5.4 chapter was answered, more than 263 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: Applied Statistics and Probability for Engineers , edition: 6. This full solution covers the following key subjects: fill, Volume, cans, average, Probability. This expansive textbook survival guide covers 97 chapters, and 2005 solutions. The full step-by-step solution to problem: 70E from chapter: 5.4 was answered by , our top Statistics solution expert on 07/28/17, 07:57AM. The answer to “An automated filling machine fills soft-drink cans, and the standard deviation is 0.5 fluid ounce. Assume that the fill volumes of the cans are independent, normal random variables.(a) What is the standard deviation of the average fill volume of 100 cans?(b) If the mean fi ll volume is 12.1 oz, what is the probability that the average fill volume of the 100 cans is less than 12 oz?(c) What should the mean fill volume equal so that the probability that the average of 100 cans is less than 12 oz is 0.005?(d) If the mean fill volume is 12.1 oz, what should the standard deviation of fill volume equal so that the probability that the average of 100 cans is less than 12 oz is 0.005?(e) Determine the number of cans that need to be measured such that the probability that the average fill volume is less than 12 oz is 0.01.” is broken down into a number of easy to follow steps, and 152 words. Applied Statistics and Probability for Engineers was written by and is associated to the ISBN: 9781118539712.

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