In: Statistics and Probability
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}
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