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If the paired differences are normal in a test of mean differences, then the distribution used for testing is the
the q test go to http://en.wikipedia.org/wiki/Q-test
Whereas a t-test is used for n30, where n=sample size. n < 30 or n > 30 is not entirely arbitrary; it is intended to indicate that n must be sufficiently large to use the normal distribution. In some cases, n must be greater than 50. Note, both the t-test and the z-test can only be used if the distribution from which the sample is being drawn is a normal distribution. A z-test can be used even if the distribution is not normal (but is not severely skewed) if n>30, in which case, we can safely assume that the distribution is normal.
Your question makes no sense. Significant is a word related to tests. The normal curve is a distribution, not a test.
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