2. A least squares adjustment is computed twice on a data set.When the data is minimally constrained with 10 degrees of freedom,a variance of 1.07 is obtained. In the second run, the fullyconstrained network has 13 degrees of freedom with a variance of1.56. The a priori
estimate for the reference variances in both adjustments areone; that is,
(1) What is the 95% confidence interval for the referencevariance in the minimally constrained adjustment? The populationvariance is one. Does this interval contain one?
(2) What is the 95% confidence interval for the ratio of the twovariances? Is there reason to be concerned about the consistency ofthe control? Statistically justify your response.