36. The capacities (in ampere-hours) of 10 batteries were recorded as follows:

140, 136, 150, 144, 148, 152, 138, 141, 143, 151

(a) Estimate the population variance σ2.

(b) Compute a 99 percent two-sided confidence interval for σ2.

(c) Compute a value v that enables us to state, with 90 percent confidence, that

σ2 is less than v.