Find the critical values and identify the rejection regions. find out d and sd. Use the t-test to find the standardized test statistic t. decide whether to reject or fail to reject the null hypothesis. Interpret the decision in the context of the original claim. The table shows the critical reading scores for 14 students the first two times they took a standardized test. At a =0.01, is there enough evidence to include that their scores improved the second time they took their test?

Students 1 2 3 4 5 6 7 8 9 10 11 12 13 14

Scores first time 551 380 560 435 451 371 599 637 466 384 614 603 468 376

Scores second time 554 399 569 461 391 394 570 661 483 394 650 617 507 386.