Assume that you have a sample of n, 8, with the sample mean x, -42, and a sample
ID: 2948041 • Letter: A
Question
Assume that you have a sample of n, 8, with the sample mean x, -42, and a sample standard deviation of S1 -4 and you have an independent sample of n2 15 from another population with a sample mean of X2-34 and a sample standard deviation of S2 -5. What assumptions about the two populations are necessary in order to perform the pooled-variance t test for the hypothesis Ho: ?? ?2 against the alternative H 1 : ?? ?2 and make a statistical decision? Choose the correct answer below. O A. It is necessary to assume that the populations from which you are sampling have unequal variances and O B. It is necessary to assume that the populations from which you are sampling have equal population means O C. It is necessary to assume that the populations from which you are sampling have negative tSTAT test O D. It is necessary to assume that the populations from which you are sampling have independent normal equal sizes. and positive standard deviations. statistics and unequal sample means. distributions and equal variances.Explanation / Answer
Solution:
Its answer is D. i.e it is the assumption for Pooled variance t test that
Both indepentdent samples are normal distributions and equal variances. both are necessary so its answer is D. i.e. it is neccessary to assume that the populations from which you are sampling have independent normal distributions and equal variances. so Its answer is D.