Suppose a sample of 10 students were given a Mathematics Diagnostic Assessment (MDA) test before they were given access to the Math Centre self-learning modules, and then again after completing all the modules from the Math Centre. With the help of the before and after MDA scores, We want to find out if, in general, the Math Centre leads to improvements in students' basic mathematical skills. Before and After Test Scores Student Before Test After Test Score Score d - Before - After 13 43 64 62 W I 90 97 23 27 5 47 52 6 55 60 30 35 in 69 70 -1 78 81 10 40 36 Using the 2.5 % significance level, can you conclude that Math Centre resources helped the students to improve the mean MDA score (Before Score Pil : TH 3. Ho : Ad -0 b. Which of the following distribution will you choose to perform the test of hypothese in part (a)? 1-distribution O F-distribution O Chi-square distribution O normal distribution c. Which of the following is the correct critical value of t for testing the hypothesis from part (a)? Consider a = .025, and use the appropriate Table from Appendix C. O 2.262 O -2.202 O -2.685 2.685 d. Find the value of the test statistic (Round to three decimals.). To save computational time, use the following - Ed = -24 and Ed2 = 170. e. Considering the critical value in part (c) and test statistic value in part (d), we cannot reject the null hypothesis from part (a) at a = .025 level of significance. True False f. We cannot conclude that the mean MDA scores increased as a result of Math Centre resources. True False