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Exploration 4. Assume that 5 students taking a statistics course having the following ages: 17 33 29 20 45 Mean a. Find the mean and population standard deviation of the data set of ages. Standard Deviation

Exploration 4. Assume that 5 students taking a statistics course having the following ages: 17 33 29 20 45 Mean a. Find the mean and population standard deviation of the data set of ages. Standard Deviation

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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c. Compare the mean of the population to the mean of the sampling distribution of the mean. d. Using the population standard deviation and the formula \(\sigma_{\bar{x}} = \frac{\sigma}{\sqrt{n}}\) to calculate standard error based on samples of size 2. Does this value match the standard deviation provided by your calculator for the sampling distribution data set?
Transcribed Image Text:c. Compare the mean of the population to the mean of the sampling distribution of the mean. d. Using the population standard deviation and the formula \(\sigma_{\bar{x}} = \frac{\sigma}{\sqrt{n}}\) to calculate standard error based on samples of size 2. Does this value match the standard deviation provided by your calculator for the sampling distribution data set?
**Exploration** 4. Assume that 5 students taking a statistics course have the following ages: 17, 33, 29, 20, 45 a. Find the mean and population standard deviation of the data set of ages. | Mean | Standard Deviation | |------|---------------------| | | | b. Assume that random samples of size n = 2 are selected with replacement. - Make a list of all the possible samples of size 2. They are selected with replacement, i.e., the same student could be chosen twice. Also, selecting the age of 17 first and 33 second is different from selecting 33 first and 17 second. You need to make a list of all the possible outcomes (there should be 25...). - Find the mean of each sample and construct a table representing the sampling distribution of the mean.
Transcribed Image Text:**Exploration** 4. Assume that 5 students taking a statistics course have the following ages: 17, 33, 29, 20, 45 a. Find the mean and population standard deviation of the data set of ages. | Mean | Standard Deviation | |------|---------------------| | | | b. Assume that random samples of size n = 2 are selected with replacement. - Make a list of all the possible samples of size 2. They are selected with replacement, i.e., the same student could be chosen twice. Also, selecting the age of 17 first and 33 second is different from selecting 33 first and 17 second. You need to make a list of all the possible outcomes (there should be 25...). - Find the mean of each sample and construct a table representing the sampling distribution of the mean.
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