Steps in Constructing the Sampling Distribution of the Means 1. Determine the number of possible samples that can be drawn from the population using the formula: NC. Where: N = size of the population n = size of the sample 2. List all the possible samples and compute the mean of each sample. A population consist of the numbers 2, 4, 9, 10, and 5. Consider Step 3. Construct a Frequency Distribution samples of size 4 that can be drawn from this population. Step 1. Determine the number of possible samples Sample Mean Probability Frequency N! 5! 5x4x3x2xl 5.00 (N- n)!n! – (5– 4)!4! – (1)(4x3x2x1) 5 N = 5, n = 4 5.25 = 5 1 6.25 Step 2. List all the possible samples and compute the mean of each sample. Sample 2,4,9,10 2,4,9,5 2,9,10,5 2,5,10,4 4,5,9,10 Mean 5 6.5 6.25 5.00 6.50 6.25 7 7 Total 1 Exercises: A. How many samples of size n = 3 can be selected from a population with the following sizes? 1. N=4 2. N = 8 3. N= 20 4. N= 50 B. Construct the Simple Distribution of the Means for the given problem A population consist of the five numbers 2, 3, 6, 8, and 11. Consider the samples of size 2 that can be drawn from this population.

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Steps in Constructing the Sampling Distribution of the Means
1. Determine the number of possible samples that can be drawn from the population using the formula:
NC. Where: N = size of the population
n = size of the sample
2. List all the possible samples and compute the mean of each sample.
A population consist of the numbers 2, 4, 9, 10, and 5. Consider Step 3. Construct a Frequency Distribution
samples of size 4 that can be drawn from this population.
Step 1. Determine the number of possible samples
Sample Mean
Probability
Frequency
N!
5!
5x4x3x2xl
5.00
(N- n)!n! – (5– 4)!4! – (1)(4x3x2x1)
5
N = 5, n = 4
5.25
= 5
1
6.25
Step 2. List all the possible samples and compute the mean of
each sample.
Sample 2,4,9,10 2,4,9,5 2,9,10,5 2,5,10,4 4,5,9,10
Mean
5
6.5
6.25
5.00
6.50
6.25
7
7
Total
1
Exercises:
A. How many samples of size n = 3 can be selected from a population with the following sizes?
1. N=4
2. N = 8
3. N= 20
4. N= 50
B. Construct the Simple Distribution of the Means for the given problem
A population consist of the five numbers 2, 3, 6, 8, and 11. Consider the samples of size 2 that can be drawn from
this population.
Transcribed Image Text:Steps in Constructing the Sampling Distribution of the Means 1. Determine the number of possible samples that can be drawn from the population using the formula: NC. Where: N = size of the population n = size of the sample 2. List all the possible samples and compute the mean of each sample. A population consist of the numbers 2, 4, 9, 10, and 5. Consider Step 3. Construct a Frequency Distribution samples of size 4 that can be drawn from this population. Step 1. Determine the number of possible samples Sample Mean Probability Frequency N! 5! 5x4x3x2xl 5.00 (N- n)!n! – (5– 4)!4! – (1)(4x3x2x1) 5 N = 5, n = 4 5.25 = 5 1 6.25 Step 2. List all the possible samples and compute the mean of each sample. Sample 2,4,9,10 2,4,9,5 2,9,10,5 2,5,10,4 4,5,9,10 Mean 5 6.5 6.25 5.00 6.50 6.25 7 7 Total 1 Exercises: A. How many samples of size n = 3 can be selected from a population with the following sizes? 1. N=4 2. N = 8 3. N= 20 4. N= 50 B. Construct the Simple Distribution of the Means for the given problem A population consist of the five numbers 2, 3, 6, 8, and 11. Consider the samples of size 2 that can be drawn from this population.
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