Suppose you can set the mean number of ounces of soda that is put into a can. The actual number of ounces has a standard deviation of .05 ounces. Answer the following: 1. If you set the mean at 12.03...

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Suppose you can set the mean number of ounces of soda that is put into a can. The actual number of ounces has a standard deviation of .05 ounces. Answer the following:
1. If you set the mean at 12.03 ounces, and a soda can is acceptable if it contain at least 12 ounces, what fraction of cans are acceptable?
2. What fraction of cans have less than 12.1 ounces?
3. To what should you set the mean if you want at most 1 percent of your cans to contain at most 12 ounces?

Answered Same DayDec 25, 2021

Answer To: Suppose you can set the mean number of ounces of soda that is put into a can. The actual number of...

Robert answered on Dec 25 2021

117 Votes

It is known that population standard deviation (σ )= 0.05 ounces
Question 1
Mean soda quantity in the can (µ) = 12.03 ounces
Further X = 12
Z statistic = (X-µ)/σ = (12-12.03)/0.05 = -0.6
Hence, from the normal distribution table P(Z<-0.6) = 0.2743
Further, P(Z≥-0.6) = 1- P(Z<-0.6) = 1-0.2743 = 0.7257...

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Suppose you can set the mean number of ounces of soda that is put into a can. The actual number of ounces has a standard deviation of .05 ounces. Answer the following: 1. If you set the mean at 12.03...

Answer To: Suppose you can set the mean number of ounces of soda that is put into a can. The actual number of...

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