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 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Score on first test 502 397 408 540 360 565 532 340 579 411 569 456 556 498 Score on second test 508 470 467 586 336 612 471 449 631 492 593 474 566 535 (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 Ha be the hypothesized mean of the students' first score minus their second score. State Ho and Ha. Choose the correct answer below. OA. Ho: Ha 2 d OB. Ho: Hd #0 OC. Ho: Ha = 0 Ha: Hd d Ha: Hd > 0 Ha: Hd 3.012 O C. t 2.650 O D. t> 3.012 (c) Calculate d and sa- d =0 (Type an integer or a decimal. Round to three decimal places as needed.)Calculate s\". sd= (Type an integer or a decimal. Round to three decimal places as needed.) ((1) Use the Meet to find the standardized test statistic t. t= (Type an Integer or a decimal. Round 10 three decimal places as needed.) (e) Decide whether to reject or fall to reject the null hypothesis. Choose the correct answer below. 0 Fail to reject the null hypothesis. 0 Reject the null hypothesis. (0 Interpret the decision in the context 0! the original claim. Choose the correct answer below. 0 A. At the 1% signicance level, there is evidence that the students' critical reading scores got worse the second time they took the test. 0 B. At the 1% signicance level, there is not enough evidence that the students' critical reading scores improved the second time they took the test. 0 c. The sample was not large enough to make a conclusion. 0 D. At the 1% signicance level, there is enough evidence that the students' critical reading scores improved the second time they wok the test