Suppose we want to determine the minimum sample size required to give us a 95% confidence interval that estimates, to within $500, the average salary of a state employee. Also, suppose that from a previous experiment, we know that the population standard deviation is $6300. What is the minimum sample size required

The minimum sample size is 610.

Step-by-step explanation:

We have that to find our level, that is the subtraction of 1 by the confidence interval divided by 2. So:

Now, we have to find z in the Ztable as such z has a pvalue of .

So it is z with a pvalue of , so

Now, find M as such

In which is the standard deviation of the population and n is the size of the sample.

Population standard deviation is $6300, so

Suppose we want to determine the minimum sample size required to give us a 95% confidence interval that estimates, to within $500, the average salary of a state employee.

This is n when M = 500. So

Rouding up

The minimum sample size is 610.

1/8 3/16 3/4

step-by-step explanation:

you put them as all the same denominator and multiply