The assets (in billions of dollars) of the four wealthiest people in a particular country are 30, 25, 24, 17. Assume that samples of size n = 2 are randomly selected with replacement from this population of four values. . After identifying the 16 different possible samples and finding the mean of each sample, construct a table representing the sampling distribution of the sample mean. In the table, values of the sample mean that are the same have been combined. Probability Probability x 30 27.5 27 25 24.5 Type integers or fractions.) b. Compare the mean of the population to the mean of the sampling distribution of the sample mean. the mean of the sample means, X 24 23.5 21 20.5 17 The mean of the population.. is Round to two decimal places as needed.) c. Do the sample means target the value of the population mean? In general, do sample means make good estimates of population means? Why or why not? The sample means the population mean. In general, sample means. make good estimates of population means because the mean is target do not target estimator.

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 6E
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The assets (in billions of dollars) of the four wealthiest people in a particular country are 30, 25, 24, 17. Assume that samples of size n = 2 are randomly selected with replacement from this population of four values.
a. After identifying the 16 different possible samples and finding the mean of each sample, construct a table representing the sampling distribution of the sample mean. In the table, values of the sample mean that are the same have been combined.
Probability
Probability
x
30
27.5
27
25
24.5
(Type integers or fractions.)
b. Compare the mean of the population to the mean of the sampling distribution of the sample mean.
the mean of the sample means,
X
24
target
23.5
21
20.5
17
do not target
C
The mean of the population,, is
(Round to two decimal places as needed.)
c. Do the sample means target the value of the population mean? In general, do sample means make good estimates of population means? Why or why not?
make good estimates of population means because the mean is
The sample means
the population mean. In general, sample means
estimator.
Transcribed Image Text:The assets (in billions of dollars) of the four wealthiest people in a particular country are 30, 25, 24, 17. Assume that samples of size n = 2 are randomly selected with replacement from this population of four values. a. After identifying the 16 different possible samples and finding the mean of each sample, construct a table representing the sampling distribution of the sample mean. In the table, values of the sample mean that are the same have been combined. Probability Probability x 30 27.5 27 25 24.5 (Type integers or fractions.) b. Compare the mean of the population to the mean of the sampling distribution of the sample mean. the mean of the sample means, X 24 target 23.5 21 20.5 17 do not target C The mean of the population,, is (Round to two decimal places as needed.) c. Do the sample means target the value of the population mean? In general, do sample means make good estimates of population means? Why or why not? make good estimates of population means because the mean is The sample means the population mean. In general, sample means estimator.
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