1. Perform a hypothesis test at the = 0.05 level testing whether the average cumulative GPA in the upper-level statistics course is greater than 3.0.

(a) List the null and alternative hypotheses

(b) Compute a z or t statistic for this hypothesis test (whichever one

is appropriate)

(c) Compute the p-value

(d) What do you conclude from your hypothesis test? Is the average GPA in the class greater than 3.0?

(e) Define what a p-value is in two sentences or less.

2. Perform a hypothesis test at the = 0.05 level testing whether fewer than half

of the students earned semester honors the previous semester.

(a) Compute the proportion of students that received semester hon- ors last semester. (The functions = COUNTIF() in Excel and which() in R may be helpful).

(b) List the null and alternative hypotheses

(c) Compute a z or t statistic for this hypothesis test (whichever one

is appropriate)

(d) Compute the p-value

(e) What do you conclude from your hypothesis test? Did fewer than half of the students in the course receive semester honors?