Posted by natasha on Saturday, December 4, 2010 at 4:48pm.
We have no access to your sample data.
Z = (mean1 - mean2)/standard error (SE) of difference between means
SEdiff = √(SEmean1^2 + SEmean2^2)
SEm = SD/√(n-1)
If only one SD is provided, you can use just that to determine SEdiff.
Find table in the back of your statistics text labeled something like "areas under normal distribution" to find the proportion related to your Z score.
Remember that:
Ho: mean = 172
Ha: mean ≠ 172
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