μ = 245.7, σ = 34.5
Even though the distribution is unknown, since n > 30, the sampling distribution of the mean is approximately normal
(a) z = (x-bar - μ)/(s/√n) = (234 - 245.7)/(34.5/√32) = -1.9184
P(x-bar < 234) = P(z < -1.9184) = 0.0275
(b) z1 = (248 - 245.7)/(34.5/√32) = -0.3771 and z2 = (254 - 245.7)/(34.5/√32) = 1.3609
P(248 < x-bar < 254) = P(-0.3771 < z < 1.3609) = 0.2663
(c) Standard error = s/√n = 34.5/√32 = 6.0988
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