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. IO Which of the following statements are true of the t-statistic and the t distribution? Check all that apply. The formula for the t-statistic is t = (x - 1) / s/vn. When the population standard deviation is unknown, you can use the t-statistic, assuming all relevant assumptions are satisfied. The Z-statistic requires more estimation than the t-statistic. The t-statistic uses the same formula as the z-statistic except that the z-statistic uses the estimated standard error in the denominator. (Note: Remember that the standard error of the mean can be written as ox = 0/Vn. Likewise, the estimated standard error of the mean is sx = s/vn.) :

Answer 1

The true statement about T distribution among given ones are:

The formula for the t-statistic is t = (-)/s/Vn. When the population standard deviation is unknown, you can use the t-statistic, assuming all relevant assumptions are satisfied.

Options A and B are correct.