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Evaluate the formula $\chi^{2}=\frac{(n-1) s^{2}}{\sigma^{2}}$ when $\sigma=1.92, n=45$, and $s=3.36$ $\chi^{2}=\square$ (Round to three decimal places as needed.)

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Answer

Round the result to three decimal places to get the final answer: $\boxed{134.750}$

Steps

Step 1 ：Given the formula $\chi^{2}=\frac{(n-1) s^{2}}{\sigma^{2}}$ and the values $\sigma=1.92, n=45$, and $s=3.36$

Step 2 ：Substitute the given values into the formula to get $\chi^{2}=\frac{(45-1) (3.36)^{2}}{(1.92)^{2}}$

Step 3 ：Calculate the result to get $\chi^{2}=134.74999999999997$

Step 4 ：Round the result to three decimal places to get the final answer: $\boxed{134.750}$