Answer:
64 bags should be selected.
Explanation:
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean
and standard deviation
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
and standard deviation
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
In this problem, we have that:
How many bags should be randomly selected so that the standard error is equal to 0.1 oz
This is n when s = 0.1. So
64 bags should be selected.