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Only one of these statements is wrong. Which is it?Question 14Answera.A one-sample t-test assumes homogeneity of varianceb. A two-sample t-test assumes homogeneity of variancec.A one-sample t-test assumes normalityd.A paired t-test assumes normality

Question

Only one of these statements is wrong. Which is it?Question 14Answera.A one-sample t-test assumes homogeneity of varianceb. A two-sample t-test assumes homogeneity of variancec.A one-sample t-test assumes normalityd.A paired t-test assumes normality

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Solution

The incorrect statement is:

a. A one-sample t-test assumes homogeneity of variance

Explanation:

A one-sample t-test does not assume homogeneity of variance. It is used to determine whether a sample comes from a population with a specific mean. This test does not compare variances at all, so it does not require the assumption of homogeneity of variance.

On the other hand, a two-sample t-test does assume homogeneity of variance. This test is used to determine whether two population means are equal, and the standard version of this test assumes that the two populations have the same variance.

Both a one-sample t-test and a paired t-test do assume normality. They require the assumption that the data is normally distributed.

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