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Date Posted: 5/28/2008 1:38:08 PM  Status: Live
Chapter 7
Course Textbook Chapter Problem
Statistics and Probability Elementary Statistics (10th) by Triola 7 N/A
Question Details:
Use the given degree of confidence and sample data to find a confidence interval for the population standard deviation σ. Assume that the population has a normal distribution.
 
The daily intakes of milke (in ounces) for ten randomly selected people were:
22.3, 12.9, 23.1, 26.3, 10.8, 26.8, 27.4, 29.7, 19.0, 19.9
 
Find a 99 per cent confidence interval for the population standard deviation σ.
 
A) 3.74, 12.81
B) 0.89, 3.4
C) 3.87, 12.81
D) 3.87, 14.26
 
I figured out only one side at 3.87. Please help. Many thanks.
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Date Posted: 5/28/2008 3:01:51 PM  Status: Live
Asker's Rating: Helpful   
Response:
Sorry, I misread this as finding a confidence interval for the sample MEAN. I'll leave it & I hope you find it a little helpful.
 
First determine the sample mean and sample standard deviation
 
 
 
Now, using the formula for confidence interval,
 
 
We get a confidence interval of
 
 
mhg's Comment:
Many thanks!
“There's no sense in being precise when you don't even know what you're talking about.”

 John von Neumann quote
 
There is no philosophy which is not founded upon knowledge of the phenomena, but to get any profit from this knowledge it is absolutely necessary to be a mathematician.
Daniel Bernoulli 
                  
 
 
 
 
                         
 
 



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