A Random Sample Of $n$ Observations, Selected from a Normal Population, Is Used to Test

question 142

Multiple Choice

A random sample of $n$ observations, selected from a normal population, is used to test the null hypothesis $H _ { 0 } : \sigma ^ { 2 } = 155$ . Specify the appropriate rejection region.
$H _ { \mathrm { a } } : \sigma ^ { 2 } \neq 155 , n = 10 , \alpha = .05$

• A) \(\chi ^ { 2 } < 3.24697\) or \(\chi ^ { 2 } > 20.4831\)
• B) \(\chi ^ { 2 } < 3.32511\) or \(\chi ^ { 2 } > 16.9190\)
• C) \(2.70039 < \chi ^ { 2 } < 19.0228\)
• D) \(\chi ^ { 2 } < 2.70039\) or \(\chi ^ { 2 } > 19.0228\)