Section 6
Hypothesis Testing: Two Samples
Book
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By Boundless
By Boundless
Boundless Statistics
Statistics
by Boundless
6 concepts
![Thumbnail](../../../../../../figures.boundless-cdn.com/18250/square/mpirical-clt-figure-040711.jpeg)
Using Two Samples
To compare two means or two proportions, one works with two groups.
![Thumbnail](../../../../../../figures.boundless-cdn.com/18255/square/hyptest22-cmp1.jpg)
Comparing Two Independent Population Means
To compare independent samples, both populations are normally distributed with the population means and standard deviations unknown.
![Thumbnail](../../../../../../figures.boundless-cdn.com/18258/square/hyptest22-cmp-3-1.jpg)
Comparing Two Independent Population Proportions
If two estimated proportions are different, it may be due to a difference in the populations or it may be due to chance.
![Thumbnail](../../../../../../figures.boundless-cdn.com/18260/square/-06-11-20at-202.56.22-20pm.jpeg)
Comparing Matched or Paired Samples
In a hypothesis test for matched or paired samples, subjects are matched in pairs and differences are calculated.
![Thumbnail](../../../../../../figures.boundless-cdn.com/18266/square/anova-twotests.jpg)
Comparing Two Population Variances
In order to compare two variances, we must use the
![Thumbnail](../../../../../../figures.boundless-cdn.com/18273/square/-06-13-20at-209.07.17-20am.jpeg)
Determining Sample Size
A common problem is calculating the sample size required to yield a certain power for a test, given a predetermined type I error rate