12100
Introduction to Civil and Environmental Engineering
Spring 2008
Homework 3.
Due: 6 February 2008
Assume that every quantity is valid to three significant figures.
1.
You have a summer job doing engineering quality control at a microbrewery.
The “brewmaster”
makes only one type of ale, but that person is quite inexperienced and the ale varies from batch to
batch.
You measure the alcohol content (percentage) for ten batches and obtain: 5.7, 6.1, 6.1, 4.9,
5.8, 5.5, 6.3, 5.1, 5.4, and 6.0 percent.
Determine the sample mean and the sample standard
deviation of these data.
Making the assumption that the alcohol content of any batch is a normally
distributed random variable, determine the probability that the next batch will have an alcohol
content less than 4.4 percent.
Similarly, determine the probability that the next batch will have an
alcohol content greater than 6.0 percent.
Finally, determine the probability that the next batch will
have an alcohol content somewhere between 4.5 and 5.5 percent.
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 Spring '08
 irvin
 Standard Deviation, Environmental Engineering, 10%, 1000 Hrs, 180 hrs, 872 hours, 900 hrs

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