Question

Question 2 (1 point) (Quesitons 1-5 are in one hypothesis problem using Teaching Methodology data). A teacher of statistics wants to know if a new teaching methodology that includes IT is efficient in terms of increased average score. He took a class with old methodology and a class with new methodology for samples and gave a same test. Once you opened the file in question 1 and ran Excel, you need not open it again. Just use the Excel output to answer this question. For the new methodology to be efficient, the difference in average scores between two population means (old - new, 11-H2) should be negative. Consider that the class with old methodology is the first group. We do not know the population variances, but assume they are NOT equal. We do hypothesis testing to see if the new methodology is efficient. What is the t-test statistie? Find it from Excel output that you generate. a) 0.62 b) 0.5 Oc) 0.31 d) -0.5

Answer 1

old Method New Method 70 74 90 89 t-Test: Two-Sample Assuming Unequal Variances 55 56 75 75 Mean Variable 1 Variable 2 73.5625 75.70588 158.129167 145.3456 65 75 Variance 56 64 16 17 90 91 0 94 97 31 66 64 -0.49923363 Observations Hypothesized Mean Difference df t Stat P(T<=t) one-tail t Critical one-tail P(T<=t) two-tail t Critical two-tail 74 78 88 92 59 58 0.31056973 1.69551878 0.62113947 2.03951345 69 72 79 82 77 83 64 therefore Test statistic t = -0.5 (rounded to the one decimal places) The Correct option is d)-0.5 65 78