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Can a normal approximation be used for a sampling distribution of sample means from a population...

Can a normal approximation be used for a sampling distribution of sample means from a population with μ=40 and σ=8 when n=9?

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Answer #1

since if population is not normal, we are required that sample size should be at least 30 for normal approximation from central limit theorem

here sample size n does not exceed or equal to 30, therefore we can not use normal approximation unless population itself is normal

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