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 takingthe 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).StudentScore on first testScore on second test 450 698 674 448 489 630 496 543 636 558 643 407 374 4936 78444 635 616 409 545 605 516 395 561 471 632 387 337 4611239 10 11 12 13 14 O4(e) Decide whether to reject or fail to reject the null hypothesis. Choose the correct answer below.O Reject the null hypothesis.Fail to reject the null hypothesis.(f) Interpret the decision in the context of the original claim. Choose the correct answer below.O A. The sample was not large enough to make a conclusion.O B. At the 1% significance level, there is enough evidence that the students' critical reading scores improved the second time they took the test.O C. 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 D. At the 1% significance level, there is evidence that the students' critical reading scores got worse the second time they took the test.Click to select your answer(s).225 PMP Type here to search12/17/2020 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 takingthe 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).8 9444 635 616 409 545 605 516 395 561 471 632 387 337 46110 11 12 13 14 DStudentScore on first testScore on second test 450 698 674 448 48912467643 407 374 493(c) Calculate d and sad=(Type an integer or a decimal. Round to three decimal places as needed.)Calculate sa(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.?Click to select your answer(s).225 PM12/17/2020

Name: An instructor for a test preparation course claims that the course wi
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Description: 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 takingthe test for the second tim

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Paired T-test for difference of means:-
      When we have,
1. Sample size of two samples are equal.…