Question

An instructor for a test preparation course aims that the course will improve the test scores of students. The table shows the critical reading scores for 14 students the frst two times they took the test Before taking the last for the second time, the students took the instructor's course to try to improve their critical reading test scores At -0.01, is there enough evidence to support the instructor's claim? Complete parts (a) through Student 1 2 3 4 5 6 7 8 9 10 11 12 13 14- Score on first test 560348 342 415 353 54752299 340 613 511 507 375 377 Score on second test 564 441 428 452 331 520 524 500 439 673 557 517 425 412 1 - 3012 or 3012 c) Calculated and d= - 41.571 Type an integer or a decimal Round to three decimal places a Type an integer or a decimal Rould to three decimal places as need Enter your answer in the answer box and then click Check Answe

Answer 1

Student	X	Y	d=X-Y	d-d_bar	(d-d_bar)^2
1	560	564	-4	37.571	1411.58004
2	388	441	-53	-11.429	130.622041
3	342	428	-86	-44.429	1973.93604
4	415	452	-37	4.571	20.894041
5	393	331	62	103.571	10726.952
6	547	580	-33	8.571	73.462041
7	527	524	3	44.571	1986.57404
8	393	540	-147	-105.429	11115.274
9	348	434	-86	-44.429	1973.93604
10	613	673	-60	-18.429	339.628041
11	511	557	-46	-4.429	19.616041
12	507	517	-10	31.571	996.728041
13	375	425	-50	-8.429	71.048041
14	377	412	-35	6.571	43.178041
SUM =			-582		30883.4286
MEAN =			-41.571
X=Score on First Test
Y=Score on Second Test

. And [di = -582 , n = 14 d=0:01 d = Idi - 582 = -41.971 a) a = - 41.571 Ildi-d)2 = 3088 3. 4286 84 l Edi-d)? 30883.4286 od nas = 1 1444 -48.74062 8= 48.741) Hypothesis Ho! Hd = 0 Hiilid #0 Critical value =0.01 danad144 df - 13: Test statistics under Ho trendi ta utant to-oas, 13 = 3.012 - 41.571 48.7411104 t = -3.191 Decision Since 19= -3.191 » t«/2/dt = 3.012 Hence, we repeet Ho.