An instructor for a test preparation course claims that the course will improve the test scores of students. The table shows the critical reading scores for 14 students the first two times they took the test. Before taking the test for the second time, the students took the instructor's course to try to improve their critical reading test scores. At a = 0.01, is there enough evidence to support the instructor's claim? Complete parts (a) through (f). Student 12 3 4 5 6 7 8 9 10 11 12 13 14 Score on first test 461 599 402 364 572 596 370 563 366 461 340 576 560 540 Score on second test 468 653 468 385 524 634 367 688 426 542 352 602 587 570 (a) Identify the claim and state Ho and Ha The claim is "The students' critical reading test scores. the second time they took the test." Let Hd be the hypothesized mean of the students' first score minus their second score. State Ho and Ha. Choose the correct answer below. OB. Ho: Hd 50 Ha: Hd >0 OA. Ho: Hd 20 Hai Hd <0 OD. Ho: Hd = 0 Ha: Hd #0 O E. Ho: Hd #0 Ha: Hd=0 (b) Find the critical value(s) and identify the rejection region(s). to = (Use a comma to separate answers as needed. Type an integer or a decimal. Round to three decimal places as needed.) Identify the rejection region(s). Choose the correct answer below. A +- 2 650 OC. Ho Hd Sd Ha: Hd >d OF. Ho: Hd zd Hai Hd