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ISyE 3770 Exam #4
Name:
Note that you are NOT supposed to reveal any information about this exam to any
student.
The exam for students taking at the regular time might not be the same
as yours.
There are FOUR pages and SIX questions in this exam, please make
sure that you submit every page to Harry Sharp.
Moreover, please remember to
submit your homework #7 with your exam.
1. A softdrink machine at a steak house is regulated so that the amount of drink
dispensed is approximately normally distributed with a mean of 200 millliters and a
standard deviation of 15 millliters.
The machine is checked periodically by taking a
sample of 9 drinks and computing the average content.
If the sample mean
x
bar
falls in the interval 191 <
x
bar < 209, the machine is thought to be operating
satisfactorily; otherwise, we conclude that the population mean
μ
≠
200 millliters.
(a) Find the probability of committing a TypeI Error.
[15 points]
(b) Find the probability of committing a TypeI Error when
μ
= 215 millliters.
[15
points]
1
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View Full Document2. A study was made to determine if the subject matter in a physics course is better
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 Spring '11
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