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    .

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...
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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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