Concept explainers
The closeness of the confidence interval based on the accurate normal approximation and the exact one
Explanation of Solution
Let’s calculate the confidence interval using exact one.
Given,
Using chi square table,
It is known that confidence interval for
Now, putting all the values in the above formula
Confidence interval for
Let’s find confidence interval using accurate normal approximation
Given,
Using accurate normal approximation,
It is known that confidence interval for
Now, putting all the values in the above formula
Confidence interval for
Hence, confidence interval using exact one is
Confidence interval using accurate normal approximation is
It can be clearly seen that lower bound differ by
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Chapter 8 Solutions
Elementary Statistics ( 3rd International Edition ) Isbn:9781260092561
- Calculus For The Life SciencesCalculusISBN:9780321964038Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.Publisher:Pearson Addison Wesley,