Consider the iv injection system data from the notes.  

Consider a contrast of the treatment mean for the STANDARD
system with the average of the other three treatment means,
theta=mu_1 - 1/3(mu2+mu3+mu4).

a) Report an estimate of this contrast.
b) Give an expression for, and report the observed value for the estimated standard error associated with this estimated contrast.
c) Report a 95% confidence interval for the contrast estimated in part
(a).