Question

In: Statistics and Probability

Find the 95% confidence interval for the population variance (σ^2). From the data set that comes...

Find the 95% confidence interval for the population variance (σ^2).

From the data set that comes from a sample of size 8 = {23, 28, 22, 23, 25, 27, 24, 29}

Solutions

Expert Solution

We have for given data,                  
                      
Sample variance =6.6954              
Sample standard deviation=2.588          
Sample size =8              
                      
Degree of freedom =n-1=7          
Level of significance given =1-0.95=0.05          
Chi square critical value for lower tail=1.69      
                      
Chi square critical value for upper tail=16.013      


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