Department

Industrial EngineeringCourse Code

IE 3302Professor

AllStudy Guide

FinalThis

**preview**shows half of the first page. to view the full**3 pages of the document.**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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