Asked by Jerry Powell on Jun 26, 2024

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The paired-difference t-test for the main difference between two populations assumes:

A) that the populations are approximately normally distributed
B) that the sample variances are equal
C) that the sample means are equal
D) all of these
E) none of these

Paired-Difference T-Test

A statistical method used to compare the means of two related groups to determine if there is a significant difference between them.

Normally Distributed

A type of probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.

Sample Variances

A measure of the dispersion of a set of data points in a sample.

  • Determine the appropriate circumstances to apply Student's t-distribution in hypothesis testing scenarios.
  • Implement tests of hypotheses and formulate confidence intervals for population means and variances.
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EB
Elizabeth BoyleJul 01, 2024
Final Answer :
A
Explanation :
The paired-difference t-test assumes that the differences between paired observations are approximately normally distributed. It does not require the population variances to be equal or the sample means to be equal, as it deals with differences within pairs rather than direct comparisons between separate groups.