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|637 594 526 418 442|465 478 599 599 459 519|506 447 630 (a) Use tne t-test TO Tina tne stanaaraizea test Statistic . 123 4 56 7 8 9 10 11 12 13 14 635 543 475 381 498 454 495 496 529 408 508 477 404 607 t=0 (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 Fail to reject the null hypothesis. O Reject the null hypothesis. (f) Interpret the decision in the context of the original claim. Choose the correct answer below. O A. At the 1% significance level, there is evidence that the students' critical reading scores got worse the second time they took the test. O B. At the 1% significance level, there is not enough evidence that the students' critical reading scores improved the second time they took the test. OC. The sample was not large enough to make a conclusion. OD At the 1% sinificance level there is ennunh evidence that the students' critical reading scores imnrnved the second time thev took the test

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Topic Video
Question
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
10 11 12 13 14 e
635 543 475 381 498 454 495 496 529 408 508 477 404 607
Score on second test 637 594 526 418 442 465478 599 599 459 519 506 447 630
1 2 3 4 56 7 8 9
(a) use tne t-test to fina the standardizea test statistic 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.
Fail to reject the null hypothesis.
O Reject the null hypothesis.
(f) Interpret the decision in the context of the original claim. Choose the correct answer below.
O A. At the 1% significance level, there is evidence that the students' critical reading scores got worse the second time they took the test.
O B. 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 C. The sample was not large enough to make a conclusion.
At the 1% sianificance level there is enouah evidence that the students' critical readina scores imnroved the second time thev took the test
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 10 11 12 13 14 e 635 543 475 381 498 454 495 496 529 408 508 477 404 607 Score on second test 637 594 526 418 442 465478 599 599 459 519 506 447 630 1 2 3 4 56 7 8 9 (a) use tne t-test to fina the standardizea test statistic 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. Fail to reject the null hypothesis. O Reject the null hypothesis. (f) Interpret the decision in the context of the original claim. Choose the correct answer below. O A. At the 1% significance level, there is evidence that the students' critical reading scores got worse the second time they took the test. O B. 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 C. The sample was not large enough to make a conclusion. At the 1% sianificance level there is enouah evidence that the students' critical readina scores imnroved the second time thev took the test
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Proportions
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman