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A random sample of 15 colleges in Kansas showed that the annual salary has a sampe...

A random sample of 15 colleges in Kansas showed that the annual salary has a sampe variance of s2 = 83.2. Find a 95% confidence interval for the population variance.
Math   Statistics-And-Probability   
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Answer #1

n = 15 (sample size)

= 83.2 (Sample variance)

Let denote the population variance

For 95% conidence interval the level of significance () = 0.05

Citical values are:-

1.  

2.

we get this values from chi square table

Lower confidence interval =

Upper confidence interval =

Answer: 95% confidence interval for the population variance () is (44.596 , 206.939)

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