AnswersNC-Math 4Introduction to Sampling Distributions

Introduction to Sampling Distributions Answers

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A manufacturing company has 5 vice presidents: Andrew, Beth, Charles, Diane, and Eric.Their regional responsibilities are shown in the table.Vice PresidentRegional ResponsibilityAndrewEastBethEastCharlesEastDianeWestEricWestThe president of the company wants to select 2 of the 5 vice presidents to send to a conference. The 10 possible samples of size 2 that can be selected from this population without replacement are (Andrew, Beth), (Andrew, Charles), (Andrew, Diane), (Andrew, Eric), (Beth, Charles), (Beth, Diane), (Beth, Eric), (Charles, Diane), (Charles, Eric), and (Diane, Eric).Which of the following gives the sampling distribution of the sample proportion of east regional responsibility for all possible samples of size 2 from this population?

A
A dotplot. A number line labeled sampling distribution of the sample population of east regional responsibility goes from 0 to 1 in increments of 0.1. 0, 2; 0.5, 6; 1, 2.
Option A
B
A dotplot. A number line labeled sampling distribution of the sample population of east regional responsibility goes from 0 to 1 in increments of 0.1. 0, 2; 0.5, 6; 1, 3.
Option B
C
A dotplot. A number line labeled sampling distribution of the sample population of east regional responsibility goes from 0 to 1 in increments of 0.1. 0, 1; 0.1, 1; 0.2, 1; 0.3, 1; 0.4, 1; 0.5, 1; 0.6, 1; 0.7, 1; 0.8, 1; 0.9, 1; 1, 1.
Option C
D
A dotplot. A number line labeled sampling distribution of the sample population of east regional responsibility goes from 0.3 to 0.7 in increments of 0.05. 0.3, 1; 0.4, 2; 0.5, 4; 0..7, 1.
Option D
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A real estate agent has 4 homes for sale: A, B, C, and D. Here are the listing prices.Home A: $150,000Home B: $250,000Home C: $190,000Home D: $550,000Here is a graph of the distribution of these 4 home listing prices.The agent wants to randomly select 2 of the 4 homes to show in an open house this coming weekend. This means the agent may show homes A and B, A and C, A and D, B and C, B and D, or C and D. Here is a graph of the distribution of the sample mean listing prices for these 6 samples.The agent places the letters A, B, C, and D on individual slips of paper, puts them in a hat, and mixes well. He then selects two slips of paper without replacement. He selects homes A and B. Here is a graph of the distribution of listing prices for this sample.

Question illustration
A
A, B, C
B
A, C, B
C
B, C, A
D
C, A, B
3

A student would like to estimate the mean length of words in a book report he just finished writing. He selects a random sample of 20 words and determines the mean length to be 4 characters. Later, he discovers how to use a built-in function of his word-processing program that reveals that the mean length of all words in his book report is 4.3 characters. Which of the following statements is true?

A
The population is all words in the book report and the sample is the random sample of 20 words.
B
The population is the random sample of 20 words and the sample is all words in the book report.
C
The population is the mean length of all words in the book report and the sample is the mean length of the 20 randomly selected words.
D
The population is the mean length of the 20 randomly selected words and the sample is the mean length of all words in the book report.
4

A real estate agent has 4 homes for sale: A, B, C, and D. Here are the listing prices.Home A: $150,000Home B: $250,000Home C: $190,000Home D: $550,000

A
AB, CD
B
A, B, C, D
C
AB, AC, AD, BC, BD, CD
D
AA, AB, AC, AD, BB, BC, BD, CC, CD

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