Random samples of size n were selected from populations with the means and variances given here. Find the mean and standard deviation of the sampling distribution of the sample mean in each case:
a. n = 36,
= 12,
= 9
Mean: ______________
SD: ______________
b. n = 100,
= 15,
= 4
Mean: ______________
SD: ______________
c. n = 8,
= 100,
= 1
Mean: ______________
SD: ______________

Sampling Distribution

The probability distribution of a statistic based on a large number of samples or replications from a population.

Standard Deviation

A measure of the dispersion or variability of a set of data points in relation to its mean, indicating how spread out the data points are.

Sample Mean

The average value of a sample set of numbers, calculated as the sum of all the values divided by the number of values.