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Statistics Unit 5

Unit 5 Interval Estimation (Part 1) Estimating a Population Mean

A point estimator cannot be expected to provide the exact value of the population parameter. An _____ ______ can be computed by adding and subtracting a _____ __ _______ to the point estimate. interval estimate , margin of error
The purpose of an interval estimate is to provide information about how close the point estimate is to the value of the parameter
The general form of an interval estimate for an unknown population mean is y +- Margin of Error
In order to develop an interval estimate of a population mean, the margin of error must be computed using either: the population standard deviation Q the sample standard deviation s
If the population is ________ ________ ________, even very small samples can be used. approximately normally distributed
If the population distribution is ______ ________ , a sample size of n=15 is sufficient. roughly symmetrical
If the population distribution is _______ ________, a sample size of n=30 is adequate moderately asymmetric
If the population distribution is _____ _____ _ ______ _______, a sample size of n=50 is recommended. highly skewed or contains outliers
Q unknown case.In this case, the interval estimate for u is based on the t distribution.
The t distribution is a family of similar probability distributions
A specific t distribution depends on a parameter known as the ____ __ ______ degrees of freedom.
Degrees of freedom refer to the number of independent pieces of information that go into the computation of s.
As the number of degrees of freedom increases, the difference between the t distribution and the standard normal probability distribution becomes smaller and smaller.
Created by: NikaKirillova



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