Math  /  Data & Statistics

QuestionH0:σ=17Ha:σ17\begin{array}{l} H_{0}: \sigma=17 \\ H_{a}: \sigma \neq 17 \end{array}
Use the following information: n=23n=23, and S=35S=35, to find the test statistic (step 2).

Studdy Solution
Substitute the given values into the formula:
χ2=(231)×352172\chi^2 = \frac{(23-1) \times 35^2}{17^2}
Calculate the values:
χ2=22×1225289\chi^2 = \frac{22 \times 1225}{289}
χ2=26950289\chi^2 = \frac{26950}{289}
χ293.26\chi^2 \approx 93.26
The test statistic is approximately:
93.26\boxed{93.26}

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