|
Question 934898: A wildlife study is designed to find the mean weight of salmon caught by an Alaskan fishing company. As a preliminary study, a random sample of 50 freshly caught salmon is weighed. The sample standard deviation is 2.15 pounds. How large a sample should be taken to be 99% confident that the sample mean is within 0.20 pound of the true mean weight?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! A wildlife study is designed to find the mean weight of salmon caught by an Alaskan fishing company. As a preliminary study, a random sample of 50 freshly caught salmon is weighed. The sample standard deviation is 2.15 pounds. How large a sample should be taken to be 99% confident that the sample mean is within 0.20 pound of the true mean weight?
----------
sample std = s/sqrt(50) = 2.15 implies that s = 2.15*sqrt(50) = 15.20
---------------------------
n = [z*s/E]^2
----
n = [2.5758*15.20/0.2]^2 = 38,323
---------------------------
Cheers,
Stan H.
-------------------
|
|
|
| |
