A local university boasts that its School of Engineering attracts the top students from around the country. As proof of this claim, they say that the average Math SAT score for their students is...

A local university boasts that its School of Engineering attracts the top students from around the country. As proof of this claim, they say that the average Math SAT score for their students is higher than the average Math SAT score of 610 at most other Engineering schools. A random sample of Engineering students is taken, and their Math SAT scores are recorded in this data

Data:

Engineer Business

640 537

709 525

521 552

642 474

646. 575

620 515

534 626

664 550

681 558

652 482

623 630

645 575

549. 541

625 576

621 462

660 521

626 467

610 562

605 600

665. 538

567

669

644

666

705

555

661

651

Questions:

a. Perform the appropriate test of hypothesis and paste the session window output below.

b. What is the value of the test statistic?

c. What is the p-value of the test?

d. Estimate the average Math SAT score of this school’s engineering students using a 90% confidence interval.