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Mr. Wong gave a 5-point quiz to a small class of three students. The students' names and quiz scores are given below. Name Score Tammy 3 Trey 3 Amanda 4 Consider these three students to be a population. (The population mean of their scores is μ-3.33 and the population standard deviation of their scores is o=0.47.) (a) (c) Suppose a sample of size 2 is randomly selected from the population, with replacement, as follows. One student is randomly selected, their score is recorded, and the student is put back into the "pool" to be chosen from. Then for a second time a student is randomly selected and their score is recorded. There are 9 possible samples. The scores for several of the possible samples have been listed in the table below. Enter the scores for the remaining possible samples. When you are done, select "Compute". In the "Sample mean, x" column, you will then see the sample mean of the scores for each sample, along with the mean and standard deviation of all the column's values. Index 1 2 3 4 5 6 7 8 9 μ== % = 0 3- 2- Sample Tammy, Tammy Tammy, Trey Tammy, Amanda Trey, Tammy Trey, Trey Trey, Amanda Amanda, Tammy Amanda, Trey Amanda, Amanda Frequency Compute (b) Use the table from part (a) to find μ (the mean of the sampling distribution of the sample mean) and o- (the standard deviation of the sampling distribution of the sample mean). Write your answers to two decimal places. Scores 3,3 0,0 3,4 3,3 3,3 0,0 4,3 4,3 0.0 Score Mean: X Graph the frequency histograms for the population distribution and the sampling distribution of the sample mean. Population distribution Sampling distribution of the sample mean Sample mean, x 3 Standard deviation: Frequency 4- 3- 2. 0- 3.00 3.50 Sample mean 4.00

Mr. Wong gave a 5-point quiz to a small class of three students. The students' names and quiz scores are given below. Name Score Tammy 3 Trey 3 Amanda 4 Consider these three students to be a population. (The population mean of their scores is μ-3.33 and the population standard deviation of their scores is o=0.47.) (a) (c) Suppose a sample of size 2 is randomly selected from the population, with replacement, as follows. One student is randomly selected, their score is recorded, and the student is put back into the "pool" to be chosen from. Then for a second time a student is randomly selected and their score is recorded. There are 9 possible samples. The scores for several of the possible samples have been listed in the table below. Enter the scores for the remaining possible samples. When you are done, select "Compute". In the "Sample mean, x" column, you will then see the sample mean of the scores for each sample, along with the mean and standard deviation of all the column's values. Index 1 2 3 4 5 6 7 8 9 μ== % = 0 3- 2- Sample Tammy, Tammy Tammy, Trey Tammy, Amanda Trey, Tammy Trey, Trey Trey, Amanda Amanda, Tammy Amanda, Trey Amanda, Amanda Frequency Compute (b) Use the table from part (a) to find μ (the mean of the sampling distribution of the sample mean) and o- (the standard deviation of the sampling distribution of the sample mean). Write your answers to two decimal places. Scores 3,3 0,0 3,4 3,3 3,3 0,0 4,3 4,3 0.0 Score Mean: X Graph the frequency histograms for the population distribution and the sampling distribution of the sample mean. Population distribution Sampling distribution of the sample mean Sample mean, x 3 Standard deviation: Frequency 4- 3- 2. 0- 3.00 3.50 Sample mean 4.00

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Mr. Wong gave a 5-point quiz to a small class of three students. The students' names and quiz scores are given below. Consider these three students to be a population. (The population mean of their scores is μ-3.33 and the population standard deviation of their scores is o=0.47.) (b) Name Score Tammy 3 Trey 3 Amanda 4 (c) (a) Suppose a sample of size 2 is randomly selected from the population, with replacement, as follows. One student is randomly selected, their score is recorded, and the student is put back into the "pool" to be chosen from. Then for a second time a student is randomly selected and their score is recorded. There are 9 possible samples. The scores for several of the possible samples have been listed in the table below. Enter the scores for the remaining possible samples. When you are done, select "Compute". In the "Sample mean, x" column, you will then see the sample mean of the scores for each sample, along with the mean and standard deviation of all the column's values. 5- 4. 3. Index 1 2- 2 1 3 Frequency 0- 4 5 6 7 8 9 Sample Tammy, Tammy Tammy, Trey Tammy, Amanda Trey, Tammy Trey, Trey Trey, Amanda Amanda, Tammy Amanda, Trey Amanda, Amanda Compute Use the table from part (a) to find µ- (the mean of the sampling distribution of the sample mean) and o- (the standard deviation of the sampling distribution of the sample mean). Write your answers to two decimal places. Graph the frequency histograms for the population distribution and the sampling distribution of the sample mean. Population distribution Sampling distribution of the sample mean Scores 3,3 0,0 3,4 3,3 3,3 0.0 4,3 3 4,3 0,0 Score X Mean: X Sample mean, x 4 Standard deviation: Frequency 4- 3. 1- 0- X 3.00 3.50 Sample mean X 4.00
Transcribed Image Text:Mr. Wong gave a 5-point quiz to a small class of three students. The students' names and quiz scores are given below. Consider these three students to be a population. (The population mean of their scores is μ-3.33 and the population standard deviation of their scores is o=0.47.) (b) Name Score Tammy 3 Trey 3 Amanda 4 (c) (a) Suppose a sample of size 2 is randomly selected from the population, with replacement, as follows. One student is randomly selected, their score is recorded, and the student is put back into the "pool" to be chosen from. Then for a second time a student is randomly selected and their score is recorded. There are 9 possible samples. The scores for several of the possible samples have been listed in the table below. Enter the scores for the remaining possible samples. When you are done, select "Compute". In the "Sample mean, x" column, you will then see the sample mean of the scores for each sample, along with the mean and standard deviation of all the column's values. 5- 4. 3. Index 1 2- 2 1 3 Frequency 0- 4 5 6 7 8 9 Sample Tammy, Tammy Tammy, Trey Tammy, Amanda Trey, Tammy Trey, Trey Trey, Amanda Amanda, Tammy Amanda, Trey Amanda, Amanda Compute Use the table from part (a) to find µ- (the mean of the sampling distribution of the sample mean) and o- (the standard deviation of the sampling distribution of the sample mean). Write your answers to two decimal places. Graph the frequency histograms for the population distribution and the sampling distribution of the sample mean. Population distribution Sampling distribution of the sample mean Scores 3,3 0,0 3,4 3,3 3,3 0.0 4,3 3 4,3 0,0 Score X Mean: X Sample mean, x 4 Standard deviation: Frequency 4- 3. 1- 0- X 3.00 3.50 Sample mean X 4.00
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