1. 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 n = 28 Engineering students is taken, and their Math SAT scores are recorded. You will use a version of the datafile MATHSAT.

a. What are the appropriate null and alternative hypotheses?

b. Do a probability plot to look for normality. Report your findings here.

c. What is the appropriate test of hypothesis to perform, a z-test or a t-test? Why?

d. Perform the test of hypothesis and include a Boxplot and a Histogram.

What is the value of the test statistic?

What is the p-value of the test?

What is your decision using = .01?

Are there any outliers?

Is the data fairly symmetric?

Can this School brag that their students really are top-notch? Why or why not?

531

714

671

554

719

671

531

677

627

661

519

685

647

551

547

560

724

724

503

609

540

576

627

610

668

473

545