You can use both the t statistic and the z statistic to test hypotheses about th

Question

You can use both the t statistic and the z statistic to test hypotheses about the mean of a population. The test that uses the t statistic is typically referred to as a t test, while the test that uses the z statistic is commonly called a z test. Which of the following statements are true of the t statistic? Check all that apply. The numerator of the t statistic is different than the numerator of the z statistic. The formula for the t statistic is t (M -)/SM. The t statistic provides an increasingly bad estimate of z at increasingly large sample sizes. when you do not know the population standard deviation, you can use the t statistic, assuming all relevant assumptions are satisfied. 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

Explanation / Answer

B) and D) are correct
4)
df = n-1 = 45-1 = 44
C)44 is correct

variance = SS/(n-1) = 600/40 = 15

a)15 is correct

standard error = s/sqt(n) = sqrt(400)/sqrt(16)
=20/4
=5
a) 5 is correct

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