Show your work and find the t observed please don't use automatic calculations to find the answer show the calculations that one could do by hand

QUESTION 42 A teacher wants to examine the effect of frequent quizzes on retention of class material. In one of her sections, she gives 5 quizzes throughout the semester. In the other section, she only has two large exams. At the end of the semester, a test of overall statistics knowledge is given to all students. Below are the summary statistics for both sections. Two Exams Frequent Quizzes n = 25 n =36 X=78 X = 82 $ = 2.65 s = 2.83 Using an independent-samples t-test, indicate whether the two classes result in significantly different amounts of knowledge retained. Use the .01 level of significance. (questions 42-46) Which of the following accurately represents the null and alternative hypotheses? (MUST SHOW WORK FOR THIS QUESTION) O Ho: X1 - X250 H1: X 1 - X 2 >0 O Ho: X1 - X2 = 0 Hi X 1 - X20 O Ho: H1-H2=0 H1:H1-H2 0 O Ho: H1 - H2 20 H1:H1- H2