A population is normally distributed with a mean of 63 and a standard deviation

Question

A population is normally distributed with a mean of 63 and a standard deviation of 18.
1. What is the mean of the sampling distribution for this population?
2. If a sample of 36 participants is selected from this population, what is the standard error of the mean?
A population is normally distributed with a mean of 63 and a standard deviation of 18.
1. What is the mean of the sampling distribution for this population?
2. If a sample of 36 participants is selected from this population, what is the standard error of the mean?

1. What is the mean of the sampling distribution for this population?
2. If a sample of 36 participants is selected from this population, what is the standard error of the mean?

Explanation / Answer

Answer(1) .The mean of the sampling distribution of the mean is the mean of the population from which it were sampled, in this case 63.

Answer(2) The standard error is the standard deviation of the population divided by the square root of N. In this case, 18/6 = 3.

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