Statistics, testing hypothesis

[the_man]

Homework Statement

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Homework Equations

In statistics, when testing hypothesis for both sides (left and right), is it possible that Xaverage - MUo = 0 (upper part of the equation I provided)? If so how to solve this kind of task?

The Attempt at a Solution

If I get Xaverage = 0.1 (exactly) and MUo = 0.1 then test result is equal to 0. How to proceed with this? What is the conclusion? Do we accept Zero Hypothesis or do we reject it?

 

[RUber]

Of course it is possible. When this happens, it seems to confirm your null hypothesis, doesn't it? Look up the Z value of 0 on the chart, it should be right around .5. That means for a 2-tailed test, there is a p value of 1. Most tests say to let the null hypothesis stand when p < alpha using alpha of .05 or so. 1 is not less than .05.