A particular brand of dishwasher soap is sold in three sizes: 25 oz, 35 oz, and 60 oz. Twenty percent of all purchasers select a 25-oz box, 50% select a 35-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. 25 30 35 42.5 47.5 60 P(x) Calculate E(X). E(X) = oz Compare E(X) to µ. O EX) > H O EX) < H O EX) = µ (b) Determine the sampling distribution of the sample variance S2. 50 312.5 612.5 p(s²) Calculate E(S²). E(S?) = Compare E(S?) to a². O E(s?) = g² O E(s?) > a² O E(s?) < o²
A particular brand of dishwasher soap is sold in three sizes: 25 oz, 35 oz, and 60 oz. Twenty percent of all purchasers select a 25-oz box, 50% select a 35-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. 25 30 35 42.5 47.5 60 P(x) Calculate E(X). E(X) = oz Compare E(X) to µ. O EX) > H O EX) < H O EX) = µ (b) Determine the sampling distribution of the sample variance S2. 50 312.5 612.5 p(s²) Calculate E(S²). E(S?) = Compare E(S?) to a². O E(s?) = g² O E(s?) > a² O E(s?) < o²
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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A particular brand of dishwasher soap is sold in three sizes: 25 oz, 35 oz, and 60 oz. Twenty percent of all purchasers select a 25-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
Calculate
Compare
(b) Determine the sampling distribution of the sample variance S2.
Calculate E(S2).
E(S2) =
Compare E(S2) to ?2.
X.
x | 25 | 30 | 35 | 42.5 | 47.5 | 60 |
p(x) |
Calculate
E(X).
E(X) =
ozCompare
E(X)
to ?.E(X) > ?
E(X) < ?
E(X) = ?
(b) Determine the sampling distribution of the sample variance S2.
s2 | 0 | 50 | 312.5 | 612.5 |
p(s2) |
Calculate E(S2).
E(S2) =
Compare E(S2) to ?2.
E(S2) = ?2
E(S2) > ?2
E(S2) < ?2
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