Question

A normal population has a mean of $61 and standard deviation of $13. You select random samples of nine. a. Apply the central limit theorem to describe the sampling distribution of the sample mean with n

Answer 1

Applying the central limit theorem requires the population distribution to be normal.

How to use the central limit theorem?

The central limit theorem states that if you have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement , then the distribution of the sample means will be approximately normally distributed.

Now, we are given;

Mean = $61

Standard Deviation = $13

Sample size = 9

Now, from the definition earlier we can see that one vital condition that is necessary to apply the central limit theorem is that the distribution must be normal.

A normal population has a mean of $61 and standard deviation of $13. You select random samples of nine. a. Apply the central limit theorem to describe the sampling distribution of the sample mean with n=9. With the small sample size, what condition is necessary to apply the central limit theorem? Applying the central limit theorem requires the population distribution to be?

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