A particular brand of dishwasher soap is sold in three sizes: 35 oz, 40 oz, and 70 oz. Twenty percent of all purchasers select a 35-oz box, 50% select a 40-oz box, and the remaining 30% choose a 70-oz box. Let X₁ and X₂ denote the package sizes selected by two independently selected purchasers. (a) Determine the sampling distribution of X. X 35 37.5 P(x) Calculate E(X). E(X)= Compare E(X) to . O E(X) > # O E(X) < M O E(X) = U oz Calculate E(S²). E(S2)=[ 40 (b) Determine the sampling distribution of the sample variance $². 12.5 450 $2 p(S²) 0 52.5 55 612.5 70
A particular brand of dishwasher soap is sold in three sizes: 35 oz, 40 oz, and 70 oz. Twenty percent of all purchasers select a 35-oz box, 50% select a 40-oz box, and the remaining 30% choose a 70-oz box. Let X₁ and X₂ denote the package sizes selected by two independently selected purchasers. (a) Determine the sampling distribution of X. X 35 37.5 P(x) Calculate E(X). E(X)= Compare E(X) to . O E(X) > # O E(X) < M O E(X) = U oz Calculate E(S²). E(S2)=[ 40 (b) Determine the sampling distribution of the sample variance $². 12.5 450 $2 p(S²) 0 52.5 55 612.5 70
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:A particular brand of dishwasher soap is sold in three sizes: 35 oz, 40 oz, and 70 oz. Twenty percent of all purchasers select a 35-oz box, 50% select a 40-oz box, and the remaining 30%
choose a 70-oz box. Let X₁ and X₂ denote the package sizes selected by two independently selected purchasers.
(a) Determine the sampling distribution of X.
35
37.5
X
P(X)
Calculate E(X).
E(X)=[
Compare E(X) to u.
O E(X) > p
O E(X) <u
O E(X) = P
oz
Calculate E(S²).
E(S²) = [
(b) Determine the sampling distribution of the sample variance $².
12.5
450
52
p(s²)
Compare E(S²) to o².
O E(S²) = 0²
O E(S²) <0²
O E(S²) > 0²
40
0
52.5
55
612.5
70
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