Find the critical value(s) and identify the rejection region(s).
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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 450 698 674 448 489 630 496 543 636 558 643 407 374 493
10 11 12 13 14 D
444 635 616 409 545 605 516 395 561 471 632 387 337 461
1
2
3
4
7
8
9.
(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, Round to three decimal places as needed.)
Identify the rejection region(s). Choose the correct answer below.
O A. t>3.012
O B. t< - 2.650 or t> 2.650
O C. t< -2.650
O D. t< - 3.012 or t> 3.012
Click to select your answer(s).
225 PM
12/17/2020
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
1 2 3 4
7
8 9
10
11 12
13 14 D
444 635 616 409 545 605 516 395 561 471 632 387 337 461
Score on first test
Score on second test 45o 698 674 448 489 630 496 543 636 558 643 407 374 493
(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 p. be the hypothesized mean of the students' first score minus their second score. State H, and H. Choose the correct answer below.
O B. Ho: Ha 2d
OC. Ho: Ha sd
O A. Ho: Ha 20
Ha: Ha <0
OF. Ho: Ha =0
O E. Ho: Ha s0
Ha: Hg>0
O D. Ho: Ha 0
Click to select your answer(s).
225 PM
12/17/2020
Expert Solution
Step 1
| Variable 1 | Variable 2 | |
| Mean | 501 | 538.5 |
| Variance | 10020 | 10746.27 |
| Observations | 14 | 14 |
| Hypothesized Mean Difference | 0 | |
| df | 26 | |
| t Stat | -0.97368 | |
| P(T<=t) one-tail | 0.169594 | |
| t Critical one-tail | 2.47863 | |
| P(T<=t) two-tail | 0.339188 | |
| t Critical two-tail | 2.778715 |
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