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.
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.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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