Asked by Jennifer McCray on May 08, 2024

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A test is being conducted to test the difference between two population means using data that are gathered from a matched pairs experiment. If the paired differences are normal, then the distribution used for testing is the:

A) normal distribution
B) binomial distribution
C) Student t-distribution
D) F distribution
E) paired distribution

Student T-Distribution

A probability distribution that arises in the estimation of means of a normally distributed population in situations where the sample size is small and the population standard deviation is unknown.

Matched Pairs Experiment

An experimental design in which participants are paired based on certain characteristics, and each pair receives both treatments in a random order to compare outcomes.

Paired Differences

The differences between each pair of observations on two variables, used in statistical analysis to compare two related samples.

  • Ascertain the specific situations in which Student's t-distribution should be utilized for hypothesis examination.
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RM
Roxanna MarieMay 14, 2024
Final Answer :
C
Explanation :
If the paired differences are normally distributed, then the appropriate distribution for testing the difference between two population means is the Student t-distribution.