From a long series of annual river flows, the variance is found to be 49 units. This can be treated as the population  variance. However, a new sample of 25 years has yielded a value  2 s ˆ = 81 units. Estimate the lower and upper

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From a long series of annual river flows, the variance is found to be 49 units. This can be treated as the population 
variance. However, a new sample of 25 years has yielded a value 
2
s
ˆ
= 81 units. Estimate the lower and upper 
confidence limit in which the population variance is expected to lie at 95% and 99% level of confidence check the validity 
of the presumption that no increase in variance has taken place in respect to the past. Consider a significance level α = 
0.05. [Hint; Use Chi-square test]

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