Concept explainers
a.
To find: The 95% confidence interval for the mean length of the component
a.
Answer to Problem R8.5RE
The confidence interval is (223.971, 224.033)
Explanation of Solution
Given:
The data set:
224.12 |
224.001 |
224.017 |
223.982 |
223.989 |
223.961 |
223.96 |
224.089 |
223.987 |
223.976 |
223.902 |
223.98 |
224.098 |
224.057 |
223.913 |
223.999 |
Formula used:
The formula to compute the t - confidence interval for population mean is:
Calculation:
Here, t -confidence interval is to be used because population standard deviation is unknown.
The obtained excel output is:
Thus, the required confidence interval is (223.971, 224.033)
b.
To explain: Whether the mean has drifted from 224mm.
b.
Answer to Problem R8.5RE
No, it has not drifted from 24 mm.
Explanation of Solution
From the above, it is known that the confidence interval is (223.971, 224.033). Since, the upper limit is 224.033 which is above 224. Thus, it cannot be said that the mean has drifted from 224 mm.
Chapter 8 Solutions
PRACTICE OF STATISTICS F/AP EXAM
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