​(b) Find the critical​ value(s) and identify the rejection​ region(s). (c) Calculate d and sd. (d) Use the​ t-test to find the standardized test statistic t.

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​(b) Find the critical​ value(s) and identify the rejection​ region(s). (c) Calculate d and sd. (d) Use the​ t-test to find the standardized test statistic t.
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
Score on first test
Score on second test 599 368 476 606 411 390 571 518 481 496 474 384 381 543
1
2
9 10 11 12 13 14 0
591 356 458 586 471 351 617 490 458 473 455 353 358 529
4
6
7
8.
Ha: Hd>d
Ha: Hd =0
Hai Ha #0
E. Ho: Hd20
OF. H: Ha2d
O D. Ho: Hds0
Ha: Ha>0
Ha: Ha <0
(b) Find the critical value(s) and identify the rejection region(s).
(Use a comma to separate answers as needed. Type an integer or a decimal. Rhund to three decimal places as needed.)
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Transcribed Image Text: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 Score on first test Score on second test 599 368 476 606 411 390 571 518 481 496 474 384 381 543 1 2 9 10 11 12 13 14 0 591 356 458 586 471 351 617 490 458 473 455 353 358 529 4 6 7 8. Ha: Hd>d Ha: Hd =0 Hai Ha #0 E. Ho: Hd20 OF. H: Ha2d O D. Ho: Hds0 Ha: Ha>0 Ha: Ha <0 (b) Find the critical value(s) and identify the rejection region(s). (Use a comma to separate answers as needed. Type an integer or a decimal. Rhund to three decimal places as needed.) Enter your answer in the answer box and then click Check Answer. Check Answer Clear All parts remaining
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