An instructor for a test preparation course claims that the course will inprove 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 scoros. At a = 0.01, is there enough evidence to support the instructor's clairn? Complete parts (a) through (f). Student Score on first test Score on second test 637 594 526 418 442 465 478 599 599 459 519 506 447 630 123 4 56 7 89 10 11 12 13 14 P 635 543 475 381 498 454|495 496 529 408 508 477 404 607 Identify the rajection region(s). Choose the correct answer below

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An instructor for a test preparation course claims that the course will inmprove the
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 scoros. At a 0.01, is there enough evidence to support the instructor's claim? Complete parts (a) through (f).
Student
Score on first test
12 3 4 5 6
7 89 10 11 12 13 14 P
635 543 475 381 498 454 495 496 529 408 508 477 404 607
Score on second test 637 594 526 418 442 465 478 599 599 459 519 506 447 630
Identify the rejection region(s). Choose the correct answer below.
O A. t< -2.650 or t> 2.650
O B. 1< -2.650
O C. t>3.012
O D. t< -3.012 or t> 3.012
(c) Calculate d and sa
(Type an integer or a decimal. Round to three decimal places as needed.)
Çalculate sa
= Ps
Click to select your answer(s).
709 PM
(?
A D9 4x
O Type here to search
4/30/2021
Transcribed Image Text:An instructor for a test preparation course claims that the course will inmprove the 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 scoros. At a 0.01, is there enough evidence to support the instructor's claim? Complete parts (a) through (f). Student Score on first test 12 3 4 5 6 7 89 10 11 12 13 14 P 635 543 475 381 498 454 495 496 529 408 508 477 404 607 Score on second test 637 594 526 418 442 465 478 599 599 459 519 506 447 630 Identify the rejection region(s). Choose the correct answer below. O A. t< -2.650 or t> 2.650 O B. 1< -2.650 O C. t>3.012 O D. t< -3.012 or t> 3.012 (c) Calculate d and sa (Type an integer or a decimal. Round to three decimal places as needed.) Çalculate sa = Ps Click to select your answer(s). 709 PM (? A D9 4x O Type here to search 4/30/2021
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 fimes they fook 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 daim? Cormplete parts (a) through (f)
1 2 3 4 56 78 9 10 11 12 13 14
635 543 475 381 498 454 495 496 529 408 508 477 404 607
Score on second test 637 594 526 418 442 465 478 599 599 459 519 506 447 630
Student
Score on first test
(a) Identify the claim and state Ho and H.
The claim is "The students' critical reading test scores
V the second time they took the test."
Let Pa be the hypothesized mean of the students' first score minus their second score. State Ho and H. Choose the correct answer below
O C. Ho Hg =0
O A. Ho Ha s0
H, Ha >0
OB. Ho: Hg zd
H, Hg <d
Ha Ho #0
O D. Ho Ha 0
H Ha <0
O E. Ho: Ha sd
H. Hg >d
OF. Ho Ho #0
H H =0
(b) Find the critical value(s) and identify the rejection region(s).
Click to select your answer(s).
7:09 PM
会
4/30/2021
P Type here to search
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 fimes they fook 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 daim? Cormplete parts (a) through (f) 1 2 3 4 56 78 9 10 11 12 13 14 635 543 475 381 498 454 495 496 529 408 508 477 404 607 Score on second test 637 594 526 418 442 465 478 599 599 459 519 506 447 630 Student Score on first test (a) Identify the claim and state Ho and H. The claim is "The students' critical reading test scores V the second time they took the test." Let Pa be the hypothesized mean of the students' first score minus their second score. State Ho and H. Choose the correct answer below O C. Ho Hg =0 O A. Ho Ha s0 H, Ha >0 OB. Ho: Hg zd H, Hg <d Ha Ho #0 O D. Ho Ha 0 H Ha <0 O E. Ho: Ha sd H. Hg >d OF. Ho Ho #0 H H =0 (b) Find the critical value(s) and identify the rejection region(s). Click to select your answer(s). 7:09 PM 会 4/30/2021 P Type here to search
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