Perform the following:

a. state the hypotheses and identify the claim.

b. find the critical values

c. compute the test value

d. make the decisions.

e. summarize the results.

Incoming first year students at a particular college are required to take a mathematics placement exam. As an experiment, six randomly selected students are given the exam, and then they participate in a 3 hour refresher class. These six students are then given a retest. Is there sufficient evidence at the 0.05 level of significance that the refresher class helped? Assume that the variable is normally distributed.

Student 1 2 3 4 5 6

Before 10 16 12 12 18 20

After 12 15 15 12 17 20

a. state the hypotheses and identify the claim.

b. find the critical values

c. compute the test value

d. make the decisions.

e. summarize the results.

Incoming first year students at a particular college are required to take a mathematics placement exam. As an experiment, six randomly selected students are given the exam, and then they participate in a 3 hour refresher class. These six students are then given a retest. Is there sufficient evidence at the 0.05 level of significance that the refresher class helped? Assume that the variable is normally distributed.

Student 1 2 3 4 5 6

Before 10 16 12 12 18 20

After 12 15 15 12 17 20

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