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 ttest 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 Ttest
And All Result will bw same
————— 27/09/2018 05:46:13 PM ————————————————————
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TwoSample TTest and CI: Test 1, Test2
Twosample 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
TTest of difference = 0 (vs <): TValue = 0.27 PValue = 0.395 DF = 22
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