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The Swiss government believes that the printer is not meeting their specifications for the 1000 franc notes. The following table gives the government specifications for six different dimensions of the notes: Dimension Specification Length 215 mm Left Width 130 mm Right Width 130 mm Bottom Margin 9 mm Top Margin 10 mm Diagonal Length of Printed Area 141.354 mm Top margin Length Left width Right width 100 1000 Bottom margin The above measurements were obtained for a random sample of 100 notes from the printer. These data are stored under swiss1. txt. 1. Construct a scatter matrix and explore all pairwise relation based on the plots. 2. Find the sample mean vector, sample covariance matrix and correlation matrix. Ex- plore the results you obtained there. 3. Calculate the generalized sample variance for the data. 4. Set up the null and alternative hypotheses for the question. 5. Propose the formula for the above test. Also report the distribution of the test statistic under the null hypothesis. 6. Using SAS to find the value of the test statistic and report your P-value. 7. Make the decision with significance level a = .05. 8. Give the following types of 95% confidence intervals for each of the six variables and report your conclusion: I. Simultaneous intervals. II. Bonferroni intervals