A particular brand of dishwasher soap is sold in three sizes: 30 oz, 35 oz, and 60 oz. Twenty percent of all purchasers select a 30-oz box, 50% select a 35-oz box, and the remaining 30% choose a 60-oz box. Let X1 and X2 denote the package sizes selected by two independently selected purchasers. (a) Determine the sampling distribution of
X.
x 3032.5354547.560
p(x)
Calculate E(X).
E(X) =
Compare E(X)to μ:
E(X) > μ
E(X) < μ
E(X) = μ
(b) Determine the sampling distribution of the sample variance S2.
s2012.5312.5450
p(s2)
Calculate E(S2).
E(S2) =
Compare E(S2) to σ2.
E(S2) > σ2
E(S2) = σ2
E(S2) < σ2