A study is done by a community group in two neighboring colleges to determine

which one graduate's students with more math classes. College A samples 11

graduates. Their average is four math classes with a standard deviation of 1.5 math

classes. College B samples nine graduates. Their average is 3.5 math classes with a

standard deviation of one math class. The community group believes that a student

who graduates from college A has taken more math classes, on the average. Both

populations have a normal distribution.

Answer the following questions.

a.Is this a test of two means or two proportions?

b.Are the populations standard deviations known or unknown?

c.Which distribution do you use to perform the test?

d. What are the null and alternate hypotheses? Write the null and alternate

hypotheses in words and in symbols.