A least squares adjustment is computed twice on a data set. When the data is minimally...

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A least squares adjustment is computedtwice on a data set. When the data is minimally constrained with 20degrees of freedom, a reference variance of 0.69 is obtained. Inthe second run, the fully-constrained network also having 20degrees of freedom has a reference variance of 1.89. The a prioriestimate for the reference variance in both adjustments is 1;
a. Is theminimally-constrained adjustment reference variance statisticallyequal to 1 at a 0.05 level of significance?
b. Is thefully-constrained adjustment reference variance statistically equalto 1 at a 0.05 level of significance?
c. Are the twovariances statistically equal at a 0.05 level of significance?
d. Is therestatistical reason to be concerned about the presence of errors ineither the control or the observations?

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aHypothesesThe null hypothesis and an alternative hypothesis are givenasNull hypothesis H0 1Alternative hypothesis H1 1Analysis planThe given significance level is 005Thus the confidence interval is 95TestThe degree of freedom DF is calculated asDF n 120 n 1Therefore n21The test statistic X2 is calculated asNow P2 138 084049 Using ChiSquareDistribution CalculatorConclusionSince the Pvalue 084049 is See Answer

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