Evaluate the formula $x^{2}=\frac{(n-1) s^{2}}{\sigma^{2}}$ when $\sigma=2.31, n=43$, and $s=3.82$
$x^{2}=\square$ (Round to three decimal places as needed.)

Answer

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Answer

Final Answer: $x^{2} = \boxed{114.856}$

Steps

Step 1 ：Substitute the given values into the formula: $x^{2} = \frac{(n-1) s^{2}}{\sigma^{2}}$

Step 2 ：$x^{2} = \frac{(43-1) * (3.82)^{2}}{(2.31)^{2}}$

Step 3 ：Calculate the result: $x^{2} = 114.8555686737505$

Step 4 ：Round to three decimal places: $x^{2} = 114.856$

Step 5 ：Final Answer: $x^{2} = \boxed{114.856}$