A particular brand of dishwasher soap is sold in three sizes: 30 oz, 40 oz, and 60 oz. Twenty percent of all purchasers select a 30-oz box, 50% select a 40-oz box, and the remaining 30% choose a 60-oz box. Let X, and X, denote the package sizes selected by two independently selected purchasers. (a) Determine the sampling distribution of X. 30 35 40 45 50 60 P(x) Calculate E). E(X) = oz Compare E(X) to u. O EX) < H O EX) = 4 O EX) > H (b) Determine the sampling distribution of the sample variance s?. 50 200 450 P(s?) Calculate E(s?). E(s?) = Compare E(s?) to a?. O E(s?) = g2 O E(s?) > o? O E(s?) < o2

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.4: Collecting Data
Problem 2E
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A particular brand of dishwasher soap is sold in three sizes: 30 oz, 40 oz, and 60 oz. Twenty percent of all purchasers select a 30-oz box, 50% select a 40-oz box, and the remaining 30% choose a 60-oz box. Let X, and X, denote the package sizes selected by two
independently selected purchasers.
(a) Determine the sampling distribution of X.
30
35
40
45
50
60
P(x)
Calculate E(X).
E(X) =
oz
Compare E(X) to u.
O E(X) < u
O E(X) = H
O E(X) > H
(b) Determine the sampling distribution of the sample variance s?.
s2
50
200
450
P(s?)
Calculate E(s?).
E(s?) =
Compare E(s?) to o?.
O E(s?) = o?
O E(s?) > o2
O E(s?) < o?
Transcribed Image Text:A particular brand of dishwasher soap is sold in three sizes: 30 oz, 40 oz, and 60 oz. Twenty percent of all purchasers select a 30-oz box, 50% select a 40-oz box, and the remaining 30% choose a 60-oz box. Let X, and X, denote the package sizes selected by two independently selected purchasers. (a) Determine the sampling distribution of X. 30 35 40 45 50 60 P(x) Calculate E(X). E(X) = oz Compare E(X) to u. O E(X) < u O E(X) = H O E(X) > H (b) Determine the sampling distribution of the sample variance s?. s2 50 200 450 P(s?) Calculate E(s?). E(s?) = Compare E(s?) to o?. O E(s?) = o? O E(s?) > o2 O E(s?) < o?
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