Which of these examples of the two-sample hypothesis test will have the greatest degrees of freedom?
A) sample 1: mean = 1600, standard deviation = 500, n = 45; sample 2: mean = 1200, standard deviation = 200, n = 85
B) sample 1: mean = 3.2, standard deviation = 0.7, n = 155; sample 2: mean = 4.6, standard deviation = 0.9, n = 25
C) sample 1: mean = 44, standard deviation = 8, n = 1400; sample 2: mean = 42, standard deviation = 10, n = 500
D) sample 1: mean = 122, standard deviation = 46, n = 900; sample 2: mean = 153, standard deviation = 38, n = 1300

Question

Quizplus · Accepted Answer

The degrees of freedom for a two-sample t-test is calculated as the sum of the sample sizes minus 2 (n1 + n2 - 2). Option D has the largest combined sample size (900 + 1300 = 2200), resulting in the greatest degrees of freedom.

Which of These Examples of the Two-Sample Hypothesis Test Will