Independent Samples T-test
1. If n1 = 100 and n2 = 100, determine the critical value of tfor an independent samples t test, two-tailed alpha = .05.
2. Calculate pooled variance: n1 = 12, s21 = 7.4 and n2 = 13,s22 = 8.2
3. A physician compared the cholesterol levels of arepresentative sample of Americans who are an American diet vs arepresentative sample who followed a Mediterranean diet. Americandiet (control): M = 230, s2 = 24, n = 36; Mediterranean diet(experimental): M = 190, s2 = 26, n = 36. Go through the hypothesistesting steps to write your hypotheses, identify the critical tvalue, and t value.
4. A nutritionist compared the effectiveness of an online dietprogram to that of an in-person diet program. After three months,she compared the number of pounds of weight lost. The control(in-person) group lost a mean of 18 pounds (n = 16, s2 = 14.50) andthe experimental group (online) lost 16 pounds ( n = 21, s2 =13.30). Go through the hypothesis testing steps to write yourhypotheses, identify the critical t value, and t value.