Question

# The table below shows the critical reading scores for 14 students the first two times they...

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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