Let x and s2 be the mean and variance of a random sample

let X and S^2 be the mean and variance of a random sample size n=16 from the normal distribution N(u, gamma^2)

a) find d (using distrubution tables) such that

P(-d < (X-u)/(S/sqrt16)= 0.95

b) rewrite the inequalities in part a) so that:

P[u(X,S) < u < v(X,S)] = 0.95

Find u(X,S) and v(X,S) so that once x and s are computed the interval u(x,s) to v(x,s) provides a 95% confidence interval for u.

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