Question

Indicate the mean and the standard deviation of the distribution of means for each of the following situations.

    Population Sample Size

Mean Variance N

​(a)80 80 5

(b) 80 15 5

​(c) 80 10 5

(d) 80 50 25

​(e) 80 5 25

Question 11 (1 point)

In situation (a) above, the mean of the distribution of means is _____ and the standard deviation of the distribution of means is ______.

In situation (b) above, the mean of the distribution of means is _____ and the standard deviation of the distribution of means is ______.

In situation (c) above, the mean of the distribution of means is _____ and the standard deviation of the distribution of means is ______.

In situation (d) above, the mean of the distribution of means is _____ and the standard deviation of the distribution of means is ______.

In situation (e) above, the mean of the distribution of means is _____ and the standard deviation of the distribution of means is ______.

Answer 1

(a)

Here we have

Sample size: n=5

The sampling distribution of sample mean will be approximately normal distribution with mean

and standard deviation is

(b)

Here we have

Sample size: n=5

The sampling distribution of sample mean will be approximately normal distribution with mean

and standard deviation is

(c)

Here we have

Sample size: n=5

The sampling distribution of sample mean will be approximately normal distribution with mean

and standard deviation is

(d)

Here we have

Sample size: n=5

The sampling distribution of sample mean will be approximately normal distribution with mean

and standard deviation is

(e)

Here we have

Sample size: n=5

The sampling distribution of sample mean will be approximately normal distribution with mean

and standard deviation is