The central limit theorem is important in statistics because it allows us to use

Question

The central limit theorem is important in statistics because it allows us to use the Normal distribution to malce inferences concerning the population mean: (a) provided that the sample size is reasonably large (for any population). (b) provided that the population is Normally distributed and the sample size is reasonably large. (c) provided that the population is Normally distributed (for any sample size). (d) provided that the population is Normally distributed and the population variance is known (for any sample size). (e) provided that the population size is reasonably large (whether the population distribution is known or not).

Explanation / Answer

Normal Distribution is usually taken for a sample size>30.Hence it is considered to be reasonably large.

Ofcourse the population should be normally distributed otherwise it is not a normal distribution.

Hence the Best ans would be option b)Provided that the population is normally distributed and the sample size is large.

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