Answer:
The standard deviation for the sample sum distribution is 212.13
Step-by-step explanation:
The Central Limit Theorem estabilishes that, for a random variable X, with mean
and standard deviation
, the sample means with size n of at least 30 can be approximated to a normal distribution with mean
and standard deviation 
For sums
Distribution is approximately normal with mean
and standard deviation 
Using the Central Limit Theorem for Sums, what is the standard deviation for the sample sum distribution?
We have n = 50,
.
So

The standard deviation for the sample sum distribution is 212.13