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

Answer

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Answer

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

Steps

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

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: $x^{2} = 114.856$