Question

A study is done by a community group in two neighboring colleges to determine which one graduates students with more math classes. College A samples 11 graduates.  Their average is 4 math classes. College B samples 9 graduates.  Their average is 3.5 math classes. Does this study provide evidence that a student who graduates from College A has taken more math classes, on average than College B?

The problem refers to?

Assume the group 1 is College A and group 2 is College B. State the correct hypothesis test

A. Ha: µ1 = µz
Ha: µ1 < µz

B. Ha: µ1 = µz
Ha: µ1 > µz

C. H0: .i1 = Xz
Ha:i 1 < i2

D. H0:i 1 = i 2
Ha:i 1 > i2

E. H0:i 1 = i 2
Ha:i 1 -=I= i2

Answer 1

Consider,

1 : Average math classes of college A

2: Average math classes of college B

X1 bar: sample average math classes of college A

X2 bar: sample average math classes of college B

Our claim is, Does this study provide evidence that a student who graduates from College A has taken more math classes, on average than College B Or not.

We test the claim of population on the basis of sample test.

Two sample (t Or Z) test is appropriate to use here.

Therefore hypotheses are,

B. H0: µ1 = µz Ha: µ1 > µz