The assets (in billions of dollars) of the four wealthiest people in a particular country are 45, 28, 21, 18. 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 45 36.5 33 31.5 28 (Type integers or fractions.) 24.5 23 21 19.5 18

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
icon
Related questions
Question
100%

The mean of the population _______________, is equal to, greater to, or less to   the mean of the sample means, _______________. 

 

C.) Does the sample means target the value of the population mean? In general, do sample means make good estimates of population mean ? Why or why not?

 

The sample means do not target or target   the population mean. In general, sample means do or do not   make good estimates of population means because the mean is an unbiased or biased estimator. 

The assets (in billions of dollars) of the four wealthiest people in a particular country are 45, 28, 21, 18. 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
45
36.5
33
31.5
28
(Type integers or fractions.)
24.5
23
21
19.5
18
Transcribed Image Text:The assets (in billions of dollars) of the four wealthiest people in a particular country are 45, 28, 21, 18. 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 45 36.5 33 31.5 28 (Type integers or fractions.) 24.5 23 21 19.5 18
b. Compare the mean of the population to the mean of the sampling distribution of the sample mean.
The mean of the population,
is
the mean of the sample means,
(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
estimator.
Transcribed Image Text:b. Compare the mean of the population to the mean of the sampling distribution of the sample mean. The mean of the population, is the mean of the sample means, (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 estimator.
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning