The following results are for independent random samples taken from two Populations. Consider the following hypothesis test:

** Ho: ****m****1 - ****m****2 **** ² 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 **" > **µ**2 "**

**Arrow down** to "**Calculate"
**and press ** **
( this screen will appear )

From the screen the p-value = **.02** which is **<
.05** therefore we **reject Ho **