The following results are for independent random samples taken from two Populations. Consider the following hypothesis test:
Ho: m1 - m2 ² 0
Ha: m1 - m2 > 0
Sample 1 Sample 2
n1 = 40 n2 = 50
x1 = 25.2 x2 = 22.8
s1 = 5.2 s2 = 6.0
Using alpha = .05, test the hypothesis. What is your conclusion?
For this problem we will use a Z-test and we will reject Ho if p < .05
Start from the "TESTS" menu.
Press Arrow right to "TESTS" and
Arrow down to "3 : 2-SampZTest..."
Press (see screen below)
Recall for large n, s can be substituted for s.
Choose "Stats" and press Enter. Next, match the settings on your calculator to those on the above screen. Be sure you choose the alternative test " > µ2 "
Arrow down to "Calculate" and press ( this screen will appear )
From the screen the p-value = .02 which is < .05 therefore we reject Ho