3. A new math aptitude test was created that is shorter and would yield more accurate results. It is

estimated that the population average on this new aptitude test would be 45. Researchers tested this with

the same 36 AP students. The students averaged 48 with a standard deviation of 8. Did these students

score significantly different from the estimated population mean? Use alpha = .01 for your calculations.

(Hint: use single-sample t-test because you were not given the population standard deviation)

a. State the null and alternative hypotheses

b. Make a decision about the null.

c. State your conclusion.

d. Relate your conclusion to the research.