Someone claims that Bergen County high school students on average score higher on the SAT than high school students from Morris County. You collect samples of 100 students from each of the two counties and obtain the following results: The mean score for Bergen County students was 1015 with a sample standard deviation of 106, the mean score for Morris County students was 1022 with a sample standard deviation of 118.

Denote the Bergen County population mean as µ1 and the Morris County population mean as µ2. Using a significance level of your choice, carry out a hypothesis test for:
H0: µ1 ≥

Question

Someone claims that Bergen County high school students on average score higher on the SAT than high school students from Morris County. You collect samples of 100 students from each of the two counties and obtain the following results: The mean score for Bergen County students was 1015 with a sample standard deviation of 106, the mean score for Morris County students was 1022 with a sample standard deviation of 118.

Denote the Bergen County population mean as µ1 and the Morris County population mean as µ2. Using a significance level of your choice, carry out a hypothesis test for:
H0: µ1 ≥

amistre64 · Answer

null:  MC = BC
alt:  MC < BC

sounds like a good start

amistre64 · Answer

trying to sort thru the different hypothesis stuff floating about in my head; im thinking:
$$Z=\frac{BC-MC}{106+108}~\sqrt {100}$$

amistre64 · Answer

the difference in sds might suggest a modification to the degrees of freedom, but i cant recall that too clearly