Question

In: Statistics and Probability

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

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

(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 ______.

Solutions

Expert Solution

(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

orchestra answered 11 months ago

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