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Properties of the Student's t-Distribution

Properties of the Student's t-Distribution

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
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8.2 A Single Population Mean using the Student t Distribution 1. This section deals with the questions of estimating the population mean using the sample mean when the standard deviation of the population is unknown. 2. Suppose you draw a simple random sample of size n from a population that has an approximately normal distribution with mean u and unknown population standard deviation o. t-score of the mean of the sample ī is given as t = 4. Note that s is the standard deviation of the sample. t-scores of sample means follow a Student's t-distribution with n – 1 degrees of freedom. • The t-score of the sample mean ī has the same interpretation as the z-score and measures how far ī is from its mean u. For each sample size n, there is a different Student's t-distribution. 3. Properties of the Student's t-Distribution
Transcribed Image Text:8.2 A Single Population Mean using the Student t Distribution 1. This section deals with the questions of estimating the population mean using the sample mean when the standard deviation of the population is unknown. 2. Suppose you draw a simple random sample of size n from a population that has an approximately normal distribution with mean u and unknown population standard deviation o. t-score of the mean of the sample ī is given as t = 4. Note that s is the standard deviation of the sample. t-scores of sample means follow a Student's t-distribution with n – 1 degrees of freedom. • The t-score of the sample mean ī has the same interpretation as the z-score and measures how far ī is from its mean u. For each sample size n, there is a different Student's t-distribution. 3. Properties of the Student's t-Distribution
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