Answered: ou can use both the t statistic and the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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ou can use both the t statistic and the z statistic to test hypotheses about the mean of population. The test that uses the t statistic is typically referred to as a t test, while the test that uses z statistic is commonly called a z test.

Which of the following statements are true of the t statistic? Check all that apply.

The t statistic uses the same formula as the z statistic except that the t statistic uses the estimated standard error in the denominator.

The t statistic provides an excellent estimate of z, particularly with small sample sizes.

The t statistic does not require any knowledge of the population standard deviation.

The formula for the t statistic is t = (M – μ) / σMM.

With the exception of whether the population standard deviation is known, the necessary assumptions for hypothesis tests with the t statistic and with the z statistic are .

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