Consider a population consisting the scores of 6 students in a Statistic test. 18, 22. 25. 28, 32, 38 Suppose samples of size 3 are drawn from this population, describe the sampling distribution of the sample means following the steps below: 1. What is the mean of the population? Show your solutions here. 2. What is the variance of the population? Fill in the table and show your solutions here. (X - H) (X - p) 2 3. Determine the number of possible samples of size 3 Show your solutions here.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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7. Fill in the table with the necessary data to calculate the variance of the
sampling distribution of the sample means using the formula:
where
= population mean
x= sample mean
P(X) = probability of the sample mean
Means (X)
P(X)
P(X) * ( X- u )?
P(X) * (X - p)? =
8. Draw the histogram of the sampling distribution of the sample means.
P(X)
9. Answer the following questions:
a. What can you say about the mean of the sample means sand the mean
of the population?
Answer
b. What can you say about the variance of the sample means and the
variance of the population
Answer:
Transcribed Image Text:7. Fill in the table with the necessary data to calculate the variance of the sampling distribution of the sample means using the formula: where = population mean x= sample mean P(X) = probability of the sample mean Means (X) P(X) P(X) * ( X- u )? P(X) * (X - p)? = 8. Draw the histogram of the sampling distribution of the sample means. P(X) 9. Answer the following questions: a. What can you say about the mean of the sample means sand the mean of the population? Answer b. What can you say about the variance of the sample means and the variance of the population Answer:
Activity. (It's Your Turn)
Consider a population consisting the scores of 8 students in a Statistic test.
18, 22. 25, 28, 32, 38
Suppose samples of size 3 are drawn from this population, describe the
sampling distribution of the sample means following the steps below:
1. What is the mean of the population?
Show your solutions here.
2. What is the variance of the population? Fill in the table and
show your solutions here.
(X - P)
(X - H) ?
3. Determine the number of possible samples of size 3
Show your solutions here.
Transcribed Image Text:Activity. (It's Your Turn) Consider a population consisting the scores of 8 students in a Statistic test. 18, 22. 25, 28, 32, 38 Suppose samples of size 3 are drawn from this population, describe the sampling distribution of the sample means following the steps below: 1. What is the mean of the population? Show your solutions here. 2. What is the variance of the population? Fill in the table and show your solutions here. (X - P) (X - H) ? 3. Determine the number of possible samples of size 3 Show your solutions here.
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