Carry out the test for the variance of girls score is not significantly less than the given data.
The standard deviation of math test scores at one high school is 16.6. A teacher claims that the standard deviation of the girl's test scores is smaller than 16.1. A random sample of 22 girls results in scores with a standard deviation of 13.3. Make use of a significance level of 0.01 to test the teacher's claim.