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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=78 and σ=14, when n=81? why or why not?

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Yes, a normal approximation can be used for a sampling distribution of sample means from a population with μ=78 and σ=14, when n=81, because the sample size n=81 is adequate (n≥30) for using the normal approximation and the sampling distribution of the sample means also follows an approximate normal distribution even though parent population is skewed or non-normal and sample size is small.

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