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 X₁ and X₂ denote the package sizes selected by two independently selected purchasers. (a) Determine the sampling distribution of X. X 30 35 40 45 50 60 P(x) Calculate E(X). E(X) = Compare E(X) to μ. O E(X) = μ O E(X) > H Ο Ε(Χ) < με (b) Determine the sampling distribution of the sample variance S². 0 50 200 s² p(s²) Calculate E(S²). E(S²) = Compare E(S2) to σ². O E(S²) > 0² O E(S²) = 0² O E(S²) < 0² oz 450
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 X₁ and X₂ denote the package sizes selected by two independently selected purchasers. (a) Determine the sampling distribution of X. X 30 35 40 45 50 60 P(x) Calculate E(X). E(X) = Compare E(X) to μ. O E(X) = μ O E(X) > H Ο Ε(Χ) < με (b) Determine the sampling distribution of the sample variance S². 0 50 200 s² p(s²) Calculate E(S²). E(S²) = Compare E(S2) to σ². O E(S²) > 0² O E(S²) = 0² O E(S²) < 0² oz 450
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: 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 X₁ and X₂ denote the package sizes selected by two independently selected purchasers.
(a) Determine the sampling distribution of X.
30
X
35
40
45
50
60
p(x)
Calculate E(X).
E(X) =
Compare E(X) to µ.
O E(X) = μ
O E(X) > μ
Ο Ε(Χ) < μ
(b) Determine the sampling distribution of the sample variance S².
0
50
200
5²
p(s²)
Calculate E(S²).
E(S²)
=
Compare E(S2) to σ².
O E(S²) > 0²
O E(S²) = 0²
O E(S²) < 0²
OZ
450
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