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0.05 level of significance indicates that there is a 5% chance (0.05) that, under the null hypothesis, the observation could have occurred by chance. The 0.01 level indicates that there is a much smaller likelihood of the event occurring purely by chance - much stronger evidence for rejecting the null hypothesis in favour of the alternative hypothesis.
They have no significance.
The significance of the mean of a probability distribution is that it is the most probably thing to happen. The mean is the average of a set of values. If it is the average of a probability distribution, it is the most probable part.
Margin of error, level of significance and level of power are all elements that will affect the determination of sample size.
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