Which of the following statements are true? The pooled-variances t-test is used whenever the population standard deviations are assumed to be equal regardless of the sample size. The unequal-variances t-test is used whenever the population standard deviations are unknown and cannot be assumed to be equal. The z-test can be used as a close approximation to the unequal-variances t-test when the population standard deviations are not assumed to be equal, but samples are large (each n 30). All of these statements are true. None of these statements is true

Which of the following statements are true? The pooled-variances t-test is used whenever the population standard deviations are assumed to be equal regardless of the sample size. The unequal-variances t-test is used whenever the population standard deviations are unknown and cannot be assumed to be equal. The z-test can be used as a close approximation to the unequal-variances t-test when the population standard deviations are not assumed to be equal, but samples are large (each n 30). All of these statements are true. None of these statements is true

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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Question

Which of the following statements are true?

The pooled-variances t-test is used whenever the population standard deviations are assumed to be equal regardless of the sample size.
The unequal-variances t-test is used whenever the population standard deviations are unknown and cannot be assumed to be equal.
The z-test can be used as a close approximation to the unequal-variances t-test when the population standard deviations are not assumed to be equal, but samples are large (each n 30).
All of these statements are true.
None of these statements is true.

Definition Definition Number of subjects or observations included in a study. A large sample size typically provides more reliable results and better representation of the population. As sample size and width of confidence interval are inversely related, if the sample size is increased, the width of the confidence interval decreases.

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