Asked by Lesley Horcasitas on May 06, 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.

Student T-distribution

A probability distribution that is used for estimating population parameters when the sample size is small and the population variance is unknown.

Normal Distribution

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

Binomial Distribution

A probability distribution that models the number of successes in a fixed number of independent Bernoulli trials with the same probability of success.

  • Recognize when to use the student t-distribution for hypothesis testing in matched pairs experiments.
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Angie WilliamsMay 11, 2024
Final Answer :
C
Explanation :
When the paired differences are normal, the appropriate distribution for testing the difference between two population means is the Student t-distribution. This is because the paired differences are used to calculate the sample mean difference and the sample standard deviation of the differences, which are used to calculate the t-statistic.