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A machine makes parts with a variance of 14.5cm in length. A random sample of 50 parts has a
mean length of 106.5cm. What are the 95% and 99% confidence intervals for the length of
parts?
 

The (1-)100% confidence interval is given by  X  Z

n

Details
Confidence Interval Estimate for the Mean
Data
Population Standard Deviation 
14.5
Sample Mean X
Sample Size ,n
Confidence Level (1-)
106.5
50
95%
Intermediate Calculations
Standard Error of the Mean
2.050609665
Z Value Z
1.95996398
Interval Half Width
4.019121091
Confidence Interval
102.4808789
Interval Lower Limit
110.5191211
Interval Upper Limit
Confidence Interval Estimate for the Mean
Data
Population Standard Deviation
Sample Mean
Sample Size
Confidence Level
Intermediate Calculations
Standard Error of the Mean
Z Value
Interval Half Width
14.5
106.5
50
99%
2.05061
2.57583
5.28202
Confidence Interval
Interval Lower Limit
Interval Upper Limit
101.218
111.782
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