Find the Critical Value or Values Of $\chi ^ { 2 }$

question 9

Essay

Find the critical value or values of $\chi ^ { 2 }$ based on the given information.
-The standard deviation of math test scores at one high school is 16.1. A teacher claims that the standard
deviation of the girls' test scores is smaller than 16.1. A random sample of 22 girls results in scores with a
standard deviation of 12.9. Use a significance level of 0.01 to test the teacher's claim.

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Definitions:

Ossicles

Small bones; specifically, one of the bones of the tympanic cavity or middle ear.

Membrane

A selective barrier; it allows some things to pass through but stops others. Such membranes can be biological or synthetic.

Iris

The colored part of the eye surrounding the pupil that controls the amount of light entering the eye.

Opening

An aperture or gap that allows access, passage, or a view through something.