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 () Student 1 2 3 4 5 6 7 8 9 10 11 12 13 14 0 Score on first test 349 368 602 350 495 589 448 489 386 579 604 322 408 323 Score on second test 356 393 610 364 427 610 421 519 414 599 632 336 420 334 (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 ug be the hypothesized mean of the students' first score minus their second score, State Ho and Ha Choose the correct answer below O A. Ho Ha s d OB. Ho Ha $0 O C. Ho Ho #0 Ha Ha > d Ha Ha >0 Ha Ha = 0 OD. Ha Ha 2 d OE. Ho HO = 0 OF. Ho Ho 20 Ha Ha 2.650 O B. 3.012 O C. t> 3.012 O D. to - 2.650 (c) Calculate d and Sa (Type an integer or a decimal Round to three decimal places as needed ) Calculate Sa So =0 (Type an integer or a decimal. Round to three decimal places as needed ) (d) Use the t-test to find the standardized test statistic t. t= (Type an integer or a decimal Round to three decimal places as needed ) (e) Decide whether to reject or fail to reject the null hypothesis, Choose the correct answer below. O Reject the null hypothesis O Fail to reject the null hypothesis. (f) Interpret the decision in the context of the original claim. Choose the correct answer below A. At the 1% significance level, there is not enough evidence that the students' critical reading scores improved the second time they took the test O B. The sample was not large enough to make a conclusion. O C. At the 1% significance level, th that the students' critical reading scores got worse the second time they took The test. O D. At the 1% significance level, there is enough evidence that the students' critical reading scores improved the second time they took the test