Question: The file sweat.DAT contains the data regarding perspiration from 20 healthy females. Three variables \({{X}_{1}}=\) sweat rate, \({{X}_{2}}=\) sodium content and \({{X}_{3}}=\) potassium content were measured. Assume the data are multivariate normal.

1. Test the hypothesis
   \[{{H}_{0}}:\vec{\mu }'=\left( 4,50,10 \right),\text{ }{{H}_{1}}:\vec{\mu }'\ne \left( 4,50,10 \right)\]
   at the level of significance \(\alpha =0.05\).
2. Find the simultaneous 95% confidence intervals for \({{\mu }_{1}}\), \({{\mu }_{2}}\) and \({{\mu }_{3}}\) using the first method discussed in class.

(c) Find the 95% Bonferroni interval for \({{\mu }_{1}}\), \({{\mu }_{2}}\) and \({{\mu }_{3}}\).

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