Activity 2. Apply the steps in hypothesis testing for each problem. (25pts each problem) 1. Two rival manufacturers of penlight batteries claimed that their product lasts longer than the other. Thirty samples of Brand A and thirty-four of Brand B were tested. The following are the lengths of lives of such batteries recorded in hours. Use a = 0.05. Brand A 38 41 42 36 39 41 43 35 36 38 42 39 40 43 44 35 40 39 37 40 42 44 38 37 41 40 38 42 45 41 Brand B 38 40 41 43 39 41 40 43 39 38 40 43 44 39 40 41 42 39 40 45 40 38 42 41 40 36 37 41 42 40 36 38 41 40 2pts. Ho: 2pts. Ha: 2pts. Hypothesis Test: 15pts. Decision (include the Microsoft Excel output): 4pts. Conclusion:2. A teacher wants to find out if there is a significant difference in the academic performance of two groups of students. One group meets thrice a week while the other meets twice a week. Below are the final exam scores of the two groups. Use a = 0.01. 3x/wk 80 85 74 75 65 66 80 77 75 95 66 55 79 85 2x/wk 66 98 87 84 85 56 59 25 53 45 66 52 2pts. Ho: 2pts. Ha: 2pts. Hypothesis Test: 15pts. Decision (include the Microsoft Excel output): 4pts. Conclusion