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
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.
Similar Questions
Which of these is not an assumption of the two-sample t-test?Question 3Answera.Independenceb.Homogeneity of variancec.Normalityd.Sphericity
Which one of the following statements are true about a 2-Sample t-test? It is used to compare differences between two group medians The variances of the two samples are statistically different. The samples to be compared must include the same number of observations Both samples must be from normally distributed processes
Which of the following is not a requirement for the two sample test of means for independent samples?Question 5Select one:a.Equal sample samplesb.Normal populationsc.Equal population samplesd.Equal population standard deviations
The t test for the difference between the means of two independent populationsalways assumes that the respectivea. sample sizes are equalb. sample variances are equalc. populations are normally distributed if each sample size is less than 30d. All of the above
Conducting the same test,except assuming equal variances,resulted in not rejecting the null hypothesis,with a tsTAT of 1.73 and critical values t2.02.Compare these results with the results fro the test assuming unequal variances.Choose the correct answer below. OA.The test statistics are equal and the absolute values of the critical values are larger for the separate-variance test,and the conclusion is the same. B.The test statistics are equal and the absolute values of the critical values are larger for the pooled-variance test,and the conclusion is the same O C.The test statistics are equal and the absolute values of the critical values are equal,and the conclusion is the same. OD.The test statistics are unequal and the absolute values of the critical values are equal,and the conclusion is the same.
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