Question

Which of the following is not an assumption underlying the independent-measures t formula for hypothesis testing?...

  1. Which of the following is not an assumption underlying the independent-measures t formula for hypothesis testing?

    The observations within each sample must be independent.

    The two populations from which the samples are selected must be normal.

    The two samples must have equal sample sizes.

    The two populations from which the samples are selected must have equal variances.
Math   Statistics-And-Probability   
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Answer #1

Solution:

The correct answer is:

The two samples must have equal sample sizes.

Explanation:

The assumptions underlying the independent-measures t formula for hypothesis testing are:

a. The observations within each sample must be independent.

b. The two populations from which the samples are selected must be normal.

c. The two populations from which the samples are selected must have equal variances.

Therefore, the two samples must have equal sample sizes is not the assumption for the independent-measures t formula. They can have unequal sample size in each group.

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