Question

1.) According to a lending​ institution, students graduating from college have an average credit card debt of ​$4,200.

A random sample of 40 graduating seniors was selected, and their average credit card debt was found to be ​$4,542.

Assume the standard deviation for student credit card debt is $1,100. Using alphaαequals=0.01​,

complete parts a through d below.

a. what is the test statistic?

b. what are the critical scores?

c.fill in the blank: because the test statistic ___________________ _________ the null hypothesis.

d. determine the p value

2.) Suppose a university advertises that its average class size is 30 or less. A student organization is concerned that budget cuts have led to increased class sizes and would like to test this claim. A random sample of 43 classes was​selected, and the average class size was found to be 32.4 students. Assume that the standard deviation for class size at the college is 9 students. Using α=0.05​, complete parts a through e below:

a. determine the null and alternative hypothesis.

b. what is the z test statistic?

c. what is the critical z score

d. fill in the blank: because the test statistic ___________________ _________ the null hypothesis.

e. determine the p value

Answer 1