Let x1,...,x20 be a random sample from N(μ, σ^2) where σ^2 s estimated by s^2. If a 90% CI for μ is (19.170, 21.138)
a. Obtain a 95% CI for σ^2.
b. Obtain a 95% prediction interval for a new single observation.
Confidence Intervals for a Random Sample are investigated. The solution is detailed and well presented.