The conditions must be met in order to make a statistical inference about a population based on a sample if the sample does not come from a normally distributed population is n greater-than-or-equal-to 30.
What is the sample space?
For this case if we want to conclude that  the sample does not come from a normally distributed population we need to satisfy the condition that the sample size would be large enough in order to use the central limit theoream and approximate the sample mean with the following distribution:
The condition required in order to consider a sample size large is that n>30, then the best solution would be:
n>= 30
Hence, the conditions must be met in order to make a statistical inference about a population based on a sample if the sample does not come from a normally distributed population is n greater-than-or-equal-to 30.
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