From path perturbations of a nearby sun, the mass of a neutron star is to be determined. Five observations 1.2, 1.6, 1.3, 1.4, and 1.4 are obtained. Each observation is (independently) normally...

From path perturbations of a nearby sun, the mass

of a neutron star is to be determined. Five observations 1.2, 1.6, 1.3, 1.4, and 1.4 are obtained. Each observation is (independently) normally distributed with mean (J and unknown variance (72. A priori nothing is known about (J and (72, so the non-informative prior density

is used. Find a 90% HPD credible set for
.