7. At a local college, 65 female students were randomly selected and it was found that their mean monthly income was $616 with a population standard deviation of $121.50. Seventy- five male students were also randomly selected, and their mean monthly income was found to be $658 with a population standard deviation of $168.70. Use a = 0.01 to test the claim that male students have a higher monthly income than female students. Answer the following questions. a. Identify the claim and state the Ho and H1. (1 Mark) Find the critical value. (1 Mark) Calculate the test statistic. (1 Mark) d. Make a decision to reject or fail to reject the Ho. (1 Mark) e. Interpret the decision in the context of the original claim. (1 Mark) [Total: 5 Marks] 8. In a study of the effectiveness of diet on weight loss, 20 people were randomly selected to participate in a diet program for 30 days. Test the claim that diet had no impact on weight loss. Use a = 0.02. Assume that the distribution is normally distributed. Answer the following questions. Participant A B C D E F G H Weight before 81 95 71 85 program (in kg) 88 102 86 75 76 91 Weight after 83 program (in kg) 93 71 86 83 100 89 70 75 91 Participant K M N O P Q R S Weight before program (in kg) 85 78 75 84 102 66 95 97 67 79 (continued) Weight after program (in kg) 81 79 74 85 109 63 92 92 65 79 (continued) a. Identify the claim and state the Ho and H1. (1 Mark) b. Find the critical value. (1 Mark) c. Calculate the test statistic. (3 Marks) d. Make a decision to reject or fail to reject the Ho. (1 Mark) e. Interpret the decision in the context of the original claim. (1 Mark) [Total: 7 Marks]