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

question 22

Essay

Find the critical value or values of $\chi ^ { 2 }$ based on the given information.
-A manufacturer uses a new production method to produce steel rods. A random sample of 17 steel rods
resulted in lengths with a standard deviation of 4.7 cm. At the 0.10 significance level, test the claim that the new
production method has lengths with a standard deviation different from 3.5 cm, which was the standard
deviation for the old method.

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Definitions:

Semispinalis Capitis

is a muscle of the back located beneath the trapezius, playing a key role in extending, rotating, and bending the head backwards.

Splenius Capitis

A muscle located in the back of the neck that functions in extending and rotating the head.

Mastication

The process of chewing food in preparation for swallowing and digestion.

Medial Pterygoid

A muscle of the jaw involved in the movement of the mandible, contributing to the chewing process.