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

Multiple Choice

In a hypothesis test for the population variance, the hypotheses are: $H _ { 0 } : \sigma ^ { 2 } = 175$ $H _ { 1 } : \sigma ^ { 2 } \neq 175$ If the sample size is 25 and the test is being carried out at the 5% level of significance, the rejection region will be:

A) $\chi ^ { 2 }$ < 15.6587 or $\chi ^ { 2 }$ > 33.1963.
B) $\chi ^ { 2 }$ <12.4011 or $\chi ^ { 2 }$ >39.3641.
C) $\chi ^ { 2 }$ < 16.4734 or $\chi ^ { 2 }$ >34.3816.
D) $\chi ^ { 2 }$ < 13.1197 or $\chi ^ { 2 }$ <37.6525.