Question

Question 4 (1 point) (Quesitons 1-5 are in one hypothesis testing 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, 41-42) 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. With the p-value you find from the Excel output, do you reject the null hypothesis (Ho) at 0.05 level of significance? a) No b) Yes Question 5 (1 point) (Quesitons 1-5 are one hypothesis testing 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, 41-42) 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. Based on the Excel output, is the new methodology efficient? a) No b) Yes

Answer 1

Here is the Excel output:

4. No

t-Test: Two-Sample Assuming Unequal Variances 2 4 New Method 75.70588235 145.3455882 17 6 1 Old Method New Method 70 74 3 90 89 55 56 5 75 75 65 75 7 56 64 8 90 91 9 94 97 10 66 64 11 74 78 12 88 92 13 59 58 14 69 72 15 79 77 16 82 83 17 65 64 18 78 Mean Variance Observations Hypothesized Mean Di df t Stat P(T<=t) one-tail t Critical one-tail P(T<=t) two-tail t Critical two-tail Old Method 73.5625 158.1291667 16 0 31 -0.499233635 0.310569733 1.695518783 0.621139465 2.039513446

5. No