The table below shows the critical reading scores for 14 students the first two times they took a standardized test. At α=0.01, is there enough evidence to conclude that their scores improved the second time they took the test? Assume the samples are random and dependent, and the population is normally distributed. Complete parts (a) through (f).
Student |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
11 |
12 |
13 |
14 |
|
|||||||||||||||
Score on first test |
553 |
474 |
634 |
409 |
332 |
509 |
599 |
329 |
622 |
383 |
372 |
529 |
402 |
362 |
||||||||||||||||
Score on second test |
562 |
558 |
710 |
423 |
322 |
542 |
530 |
438 |
690 |
472 |
421 |
548 |
446 |
404 |
1. Identify the claim and state H0 and Ha 2. Find the critical values & identify the rejection regions. 3. Calculate d and sd 4. Use the t-test to find the standardized the test statistic t 5. Decide whether to reject or fail to reject the null hypothesis
Here Some MINITAB output for - sample T-test
And All Result will bw same
————— 27/09/2018 05:46:13 PM ————————————————————
Welcome to Minitab, press F1 for help.
Two-Sample T-Test and CI: Test 1, Test2
Two-sample T for Test 1 vs Test2
SE
N Mean StDev Mean
Test 1 14 465 109 29
Test2 14 479 163 44
Difference = mu (Test 1) - mu (Test2)
Estimate for difference: -14.1
99% upper bound for difference: 117.4
T-Test of difference = 0 (vs <): T-Value = -0.27 P-Value = 0.395 DF = 22
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