In a Hypothesis Test for the Population Variance, the Hypotheses $$H _ { 0 } : \sigma ^ { 2 } = 175$$

Short Answer

In a hypothesis test for the population variance, the hypotheses are: $$H _ { 0 } : \sigma ^ { 2 } = 175$$ $$\Pi _ { 1 } : \sigma ^ { 2 } \neq 175$$ If the sample size is 25 and the test is being carried out at the 5% level of significance, the rejection region will be: $\begin{array}{|l|l|}\hline A&\chi^{2}<15.6587 \text { or } \chi^{2}>33.1963 .\\\hline B&\chi^{2}<12.4011 \text { or } \chi^{2}>39.3641\\\hline C&\chi^{2}<16.4734 \text { or } \chi^{2}>34.3816\\\hline D&\chi^{2}<13.1197 \text { or } \chi^{2}<37.6525 .\\\hline\end{array}$