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Final

Ch08 Problems Part A With SolnExam


Department
Industrial Engineering
Course Code
IE 3302
Professor
All
Study Guide
Final

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ASSIGNMENT, MON. 7/8/13
SINGLE POPULATION MEAN
You are sampling a dimension of a part on a production line with Xi ~ N( 100, 5) lbs.
1. A sample (n=30) is drawn with
= 96.8. Do you believe the items in this sample come from the
distribution above? Justify your answer.
Answer: 


 

Therefore, it is unlikely that the items in this sample come from
the above distribution.
2. Samples of size n=30 is pulled from a production line once per day. You want to construct a
control chart with limits +/- 3 from the mean; if a
falls outside these limits it is suspect and
requires investigation. Calculate the control limits for
.
Answer: Since
, the upper 3-sigma control limit for
can be calculated as:

and the lower 3-sigma control limit for
can be calculated as:

3. Calculate the standard error for
for n=30.
Answer:

4. What would n have to be such that 3 control limits for Q#2 above were no more than +/- 0.5 lbs?
Answer:

Solving for n 
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