A particular brand or dishwasner soap is sold in oz, and 70 oz. Twenty percent or purchasers select 30% choose 70-oz box. *1 and X2 package sizes selected by two independently selected purchasers. (a) Determine the sampling distribution of X. 25 27.5 30 47.5 50 70 P(x) Calculate E(X). E(X) = oz Compare E(X) to u. O E(X) < u O EX) > H O EX) = u (b) Determine the sampling distribution of the sample variance s?. 12.5 800 1012.5 p(s²) Calculate E(s?). E(s?) = Compare E(s) too². O E(s?) < o?

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, 30 oz, and 70 oz. Twenty percent of all purchasers select a 25-oz box, 50% select a 30-oz box, and the remaining 30% choose a 70-oz box. Let X, and X, denote the
package sizes selected by two independently selected purchasers.
(a) Determine the sampling distribution of X.
25
27.5
30
47.5
50
70
p(x)
Calculate E(X).
E(X) =
OZ
Compare E(X) to µ.
O E(X) < µ
E(X) > µ
O E(X) = µ
%D
(b) Determine the sampling distribution of the sample variance s.
12.5
800
1012.5
P(s²)
Calculate E(S?).
E(s²) =
Compare E(S?) to o?.
O E(s?) < o?
O E(s?) = o²
O E(s?) > o²
Transcribed Image Text:A particular brand of dishwasher soap is sold in three sizes: 25 oz, 30 oz, and 70 oz. Twenty percent of all purchasers select a 25-oz box, 50% select a 30-oz box, and the remaining 30% choose a 70-oz box. Let X, and X, denote the package sizes selected by two independently selected purchasers. (a) Determine the sampling distribution of X. 25 27.5 30 47.5 50 70 p(x) Calculate E(X). E(X) = OZ Compare E(X) to µ. O E(X) < µ E(X) > µ O E(X) = µ %D (b) Determine the sampling distribution of the sample variance s. 12.5 800 1012.5 P(s²) Calculate E(S?). E(s²) = Compare E(S?) to o?. O E(s?) < o? O E(s?) = o² O E(s?) > o²
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