A sample of10 students took a class designed to improve their SAT math scores. Following are their scores before and after the class. Can you conclude that the mean increase in scores differs from 15 points? Let 1 represent the mean score after the class and d=1-2. Use the = 0.10 level and the P-value method with the table.

ScoreBefore :

467

470

473

443

459

426

493

382

473

408

After:

488

489

473

448

473

428

525

382

474

407

(a) State the appropriate null and alternate hypotheses.

(b) Compute the test statistic. Round the answer to at least three decimal places.

(c) Estimate theP-value. Identify the form of the interval based on theCritical Values for the Student's t Distribution Table.

(d) Determine whether to rejectH0.

(e) There

(Choose one) (Is) (Is not)enough evidence to conclude that the mean increase in score differs from15.