Stress tests are conducted on fiberglass rods used in communications networks. The random variable studied is X, the distance in inches from the anchored end of the rod to the crack location when the rod is subjected to extreme stress. Assume that X is uniformly distributed over the interval (0, b). These data are obtained on 10 test rods:
10 7 11 12 8
8 9 10 9 13
(a) Find an unbiased estimate for the average distance from the anchored end of this rod to the crack.
(b) Find an unbiased estimate for the vandance of x.
(c) Find an unbiased estimate for b,
(d) Find an estimate for o, the standard deviation of X. Is this estimate unbiased?