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.
$H _ { \mathrm { a } } : \sigma ^ { 2 } \approx 155 , n = 10 , \alpha = .05$
A) $\chi ^ { 2 } < 2.70039$ or $\chi ^ { 2 } > 19.0228$
B) $2.70039 < \chi ^ { 2 } < 19.0228$
C) $\chi ^ { 2 } < 3.32511$ or $\chi ^ { 2 } > 16.9190$
D) $\chi ^ { 2 } < 3.24697$ or $\chi ^ { 2 } > 20.4831$

Question

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 } \approx 155 , n = 10 , \alpha = .05

A)

\chi ^ { 2 } < 2.70039

or

\chi ^ { 2 } > 19.0228

B)

2.70039 < \chi ^ { 2 } < 19.0228

C)

\chi ^ { 2 } < 3.32511

or

\chi ^ { 2 } > 16.9190

D)

\chi ^ { 2 } < 3.24697

or

\chi ^ { 2 } > 20.4831

Quizplus · Accepted Answer

The Answer of 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. $$H _ { \mathrm { a } } : \sigma ^ { 2 } \approx 155 , n = 10 , \alpha = .05$$ A) $\chi ^ { 2 } < 2.70039$ or $\chi ^ { 2 } > 19.0228$ B) $2.70039 < \chi ^ { 2 } < 19.0228$ C) $\chi ^ { 2 } < 3.32511$ or $\chi ^ { 2 } > 16.9190$ D) $\chi ^ { 2 } < 3.24697$ or $\chi ^ { 2 } > 20.4831$

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

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