Answer:
So the answer for this case would be n=107 rounded up to the nearest integer
Step-by-step explanation:
Information given
the sample mean
the sample deviation
the sample size
Solution to the problem
The margin of error is given by this formula:
(a)
And on this case we have that ME =0.001 and we are interested in order to find the value of n, if we solve n from equation (a) we got:
(b)
We can use as estimator of the real population deviation the sample deviation for this case / The critical value for 99% of confidence interval is given by
, replacing into formula (b) we got:
So the answer for this case would be n=107 rounded up to the nearest integer