A particular brand of dishwasher soap is sold in three sizes: 30 oz, 35 oz, and 70 oz. Twenty percent of all purchasers select a 30-oz box, 50% select a 35-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. 30 32.5 35 50 52.5 70 P(x) Calculate E(X). E(X) = oz Compare E(X) to u. O FIX) > H O E(X) = H O E(X) < H (b) Determine the sampling distribution of the sample variance S2. 12.5 612.5 800 P(s?) Calculate E(S?)

A particular brand of dishwasher soap is sold in three sizes: 30 oz, 35 oz, and 70 oz. Twenty percent of all purchasers select a 30-oz box, 50% select a 35-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. 30 32.5 35 50 52.5 70 P(x) Calculate E(X). E(X) = oz Compare E(X) to u. O FIX) > H O E(X) = H O E(X) < H (b) Determine the sampling distribution of the sample variance S2. 12.5 612.5 800 P(s?) Calculate E(S?)

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: 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 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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