SOLUTION: A sample of 40 observations is selected from one population. The sample mean is 102 and the sample STDEV is 5. A second sample of 50 observations is selected from a second popula

Question 143246: A sample of 40 observations is selected from one population. The sample mean is 102 and the sample STDEV is 5. A second sample of 50 observations is selected from a second population. That sample mean is 99 and the STDEV is 6. Conduct the following test of hypotheses using the 0.04 significance level:
H(0): m(1) = m(2)
H(1): m(1) is not equal to m(2)
a. Is this a one-tailed or a two-tailed test?
b. State the decision rule.
c. Compute the value of the z- test statistic.
d. State your decision regarding H(0).
Please answer in excell spreadsheet if possible.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A sample of 40 observations is selected from one population. The sample mean is 102 and the sample STDEV is 5. A second sample of 50 observations is selected from a second population. That sample mean is 99 and the STDEV is 6. Conduct the following test of hypotheses using the 0.04 significance level:
H(0): m(1) = m(2)
H(1): m(1) is not equal to m(2)
a. Is this a one-tailed or a two-tailed test?
Ans: Since H1 is "not equal to" it is a two-tail test.
--------------------------------
b. State the decision rule.
If the p-value is greater than 4% fail to reject Ho.
-----------------------------
c. Compute the value of the z- test statistic.
Using a 2-Sample ZTest on a TI calculator I get:
z = 2.5868
-----------------------------
d. State your decision regarding H(0).
Since p-value is 0.009 is less than 4%, reject Ho.
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Cheers,
Stan H.

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