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
Question
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
Solution
d. All of the above
The t-test for the difference between the means of two independent populations assumes that:
a. The sample sizes are equal: This is not a strict requirement, but the test is most reliable when the two samples are of equal size.
b. The sample variances are equal: This is an assumption of the standard independent samples t-test (also known as the Student's t-test). If this assumption is violated, a variation of the t-test known as Welch's t-test may be used instead.
c. The populations are normally distributed if each sample size is less than 30: This is a rule of thumb for the t-test. If the sample size is large (e.g., 30 or more), the Central Limit Theorem suggests that the sampling distribution of the mean will be approximately normal even if the population distribution is not. But for smaller sample sizes, the t-test is most reliable if the population distribution is normal.
Similar Questions
Which of the following tests should be used to evaluate the difference between the means of two normally distributed populations?An approximate t-test if the population variances are unknown and assumed unequal and the samples are assumed to be independent.An approximate t-test that involves the calculation of a pooled estimator of the population variances which are assumed unequal.A paired comparison test if the two samples are independent and the population variances are unknown
A t test for testing the difference between two population means from two independent samples is the same as the t test to test the difference of two population means in a matched pairs experiment.Group of answer choicesTrueFalse
Two Independent simple random samples are taken to test the difference between the means of two populations. The standard deviations are not known, but are assumed to be equal. The sample sizes are n1 = 15 and n2 = 35. The correct distribution to use is the t distribution with 51 degrees of freedom z distribution with 50 degrees of freedom z distribution with 49 degrees of freedom t distribution with 48 degrees of freedom
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
In order to determine whether or not the means of two populations are equal,Group of answer choiceseither a t test or an analysis of variance can be performedan analysis of variance must be performeda t test must be performedan r test must be performed
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.