Show that the can be larger than Is this reasonable or unreasonable? Suppose, in Exercise 68, that the measurements had common unknown variance a;. and that (0.02)2 was the usual unbiased estimate...

Show that the

can be larger than

Is this reasonable or unreasonable?

Suppose, in Exercise 68, that the measurements had common unknown variance a;. and that (0.02)2 was the usual unbiased estimate of a; based on 10 degrees of freedom. Find a reasonable empirical Bayes estimate and 95% cretlible set for
.