st 2 on 3 Lion 4 K The assets (in billions of dollars) of the four wealthiest people in a particular country are 45, 29, 21, 19. 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 X 45 37 33 32 Question Viewer 29 (Type integers or fractions.) me solve this View an example Get more help. X 25 24 21 20 19 Probability Clear all Check answer

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
**Title: Understanding Sampling Distribution**

In this activity, we explore the sampling distribution of the sample mean using a dataset of assets (in billions of dollars) of the four wealthiest people in a particular country: 45, 29, 21, 19. We assume that samples of size n = 2 are randomly selected with replacement from this population of four values.

### Task:

**Objective:** 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.

**Table: Sampling Distribution of the Sample Mean**

| \(\bar{x}\) | Probability |
|-------------|-------------|
| 45          |             |
| 37          |             |
| 33          |             |
| 32          |             |
| 29          |             |
| 25          |             |
| 24          |             |
| 21          |             |
| 20          |             |
| 19          |             |

**Instructions:** Type integers or fractions for the probabilities.

Use this table to input and calculate probabilities for each value of \(\bar{x}\), representing the sample mean. This exercise aids in understanding how sample means are distributed and how often each mean occurs.

### Additional Context:

Sampling with replacement means each number can be picked more than once for each sample. Calculating and filling out the probability column will enhance comprehension of how frequently each sample mean appears within the set of all possible samples.
Transcribed Image Text:**Title: Understanding Sampling Distribution** In this activity, we explore the sampling distribution of the sample mean using a dataset of assets (in billions of dollars) of the four wealthiest people in a particular country: 45, 29, 21, 19. We assume that samples of size n = 2 are randomly selected with replacement from this population of four values. ### Task: **Objective:** 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. **Table: Sampling Distribution of the Sample Mean** | \(\bar{x}\) | Probability | |-------------|-------------| | 45 | | | 37 | | | 33 | | | 32 | | | 29 | | | 25 | | | 24 | | | 21 | | | 20 | | | 19 | | **Instructions:** Type integers or fractions for the probabilities. Use this table to input and calculate probabilities for each value of \(\bar{x}\), representing the sample mean. This exercise aids in understanding how sample means are distributed and how often each mean occurs. ### Additional Context: Sampling with replacement means each number can be picked more than once for each sample. Calculating and filling out the probability column will enhance comprehension of how frequently each sample mean appears within the set of all possible samples.
Expert Solution
Step 1 we have given that

45,29,21,19

and n = 2

steps

Step by step

Solved in 3 steps

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman