i. The Student t distribution has a greater spread than does the z distribution. As a result, the critical values of t for a given level of significance are larger in magnitude than the corresponding z critical values. ii. The test statistic t has n-1 degrees of freedom.
iii. William S. Gosset, a brewmaster, developed the t test for the Guinness Brewery in Ireland, who published it in 1908 using the pen name "Student."
A) (i), (ii), and (iii) are all correct statements.
B) (iii) is a correct statement but not (i) or (ii).
C) (i) and,(iii) are correct statements but not (ii).
D) (ii) and (iii) are correct statements but not (i).
E) (i), (ii), and (iii) are all false statements.

Question

Quizplus · Accepted Answer

(i) is correct because the Student t distribution has a greater spread than the z distribution, so its critical values are larger in magnitude for a given level of significance.
(ii) is correct because the test statistic t has n-1 degrees of freedom, which is a fundamental property of the t-distribution.
(iii) is correct because William S. Gosset, who was a brewmaster, developed the t test for the Guinness Brewery in Ireland and published it in 1908 using the pen name "Student."

I the Student T Distribution Has a Greater Spread Than