Describe the shape, the mean, and the standard deviation for each of the followi

Question

Describe the shape, the mean, and the standard deviation for each of the following two distributions. A. A population of scores with u= 50 and sd= 6. B. The distribution of sample means based on samples of n=36 selected from a population with u=50 and sd=6 Describe the shape, the mean, and the standard deviation for each of the following two distributions. A. A population of scores with u= 50 and sd= 6. B. The distribution of sample means based on samples of n=36 selected from a population with u=50 and sd=6

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Describe the shape, the mean, and the standard deviation for each of the following two distributions.

A. A population of scores with u= 50 and sd= 6.

Mean =50, standard deviation=6.

The distribution is unknown.

B. The distribution of sample means based on samples of n=36 selected from a population with u=50 and sd=6

Mean =50,

standard deviation of mean =sd/sqrt(n) = 6/sqrt(36) =1

The distribution is approximately normal.

(By central limit theorem, for sufficiently large n (n > 30), sample mean will be approximately normally distributed.)

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