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 478 513 381 568 325 640 592 585 444 559 568 545 458 442 1 2 471 510 356 533 363 592 621 575 433 538 526 515 436 411 3 4 6 7 8 9 10 11 12 13 14 0 (c) Calculate d and sg. d= -0.411 (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. (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.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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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
9 10 11 12 13 14 O
471 510 356 533 363 592 621 575 433 538 526 515 436 411
Score on second test 478 513 381 568 325 640 592 585 444 559 568 545 458 442
1
2
3
4
6
8
Score on first test
(c) Calculate d and sd-
d= -0.411
(Type an integer or a decimal. Round to three decimal places as needed.)
Calculate sd-
(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.
(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.
Reject the null hypothesis.
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 9 10 11 12 13 14 O 471 510 356 533 363 592 621 575 433 538 526 515 436 411 Score on second test 478 513 381 568 325 640 592 585 444 559 568 545 458 442 1 2 3 4 6 8 Score on first test (c) Calculate d and sd- d= -0.411 (Type an integer or a decimal. Round to three decimal places as needed.) Calculate sd- (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. (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. Reject the null hypothesis.
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