Use the information below to answer the next five questions. A statistics teacher wants to see if the abilities of students enrolled in statistics today are less than those enrolled five years ago. A sample of final examination scores from students enrolled today and from students enrolled five years ago was taken. You are given the following information. Today Five Years Ago Average score 82 88 SC 10.6 7.3 Sample Size 45 60 6. Choose the appropriate null and alternate hypotheses. a. Null: Abilities of students today and five years ago are the same Alternate: Abilities of students today are less than students five years ago b. Null: Abilities of students today are less than students five years ago Alternate: Abilities of students today are more than students five years ago c. Null: Abilities of students today are more than students five years ago Alternate: Abilities of students today and five years ago are the same d. Null: Abilities of students today and five years ago are the same Alternate: Abilities of students today are more than students five years ago 7. What is the standard error for the difference (SEdiff)? a. 0.64 b. 6.00 c. 120.8 d. 1.84 8. What is the test statistic? a. 2.44 b. 3.26 c. 1.12 d. 82.0 9. What is the p-value? a. 3.29% b. 0.06% c. 5.57% d. 48.8% 10. What is your conclusion? a. Reject the null hypothesis b. Accept the null hypothesis c. Do not reject the null hypothesis d. Do not accept the alternate hypothesis