Answer: The test statistic to test the claim is
.
Explanation:
Let
be the standard deviation of filled bottles.
As per given , we have

To fins test statistic , we use Chi -square test for population standard deviation:

, where n= sample size .
s= sample standard deviation.
We are given that , n= 20 and s= 0.11
Then,


Hence, the test statistic to test the claim is
.