The following output from MINITAB presents the results of a hypothesis test for a population mean $\mu$.
Test of $m u = 37$ vs. not $= 37$
$\begin{array}{lrrrcrl}
\mathrm{N} & \text { Mean } & \text { StDev } & \text { SE Mean } & 95 \% \text { CI } & \text { T } & \text { P } \
44 & 34.14 & 10.214809 & 1.53994 & (31.034387,37.245613) & -1.857215 & 0.0701
\end{array}$

What are the null and alternate hypotheses?
A) $H _ { 0 } : \mu = 37 , H _ { 1 } : \mu \neq 37$
B) $H _ { 0 } : \mu \neq 37 , H _ { 1 } : \mu = 37$
C) $H _ { 0 } : \mu = 34.14 , H _ { 1 } : \mu \neq 34.14$
D) $H _ { 0 } : \mu = 37 , H _ { 1 } : \mu = 34.14$ 8

Question

The following output from MINITAB presents the results of a hypothesis test for a population mean $\mu$.
Test of $m u = 37$ vs. not $= 37$
$\begin{array}{lrrrcrl}
\mathrm{N} & \text { Mean } & \text { StDev } & \text { SE Mean } & 95 \% \text { CI } & \text { T } & \text { P } \
44 & 34.14 & 10.214809 & 1.53994 & (31.034387,37.245613) & -1.857215 & 0.0701
\end{array}$

What are the null and alternate hypotheses?
A) $H _ { 0 } : \mu = 37 , H _ { 1 } : \mu \neq 37$
B) $H _ { 0 } : \mu \neq 37 , H _ { 1 } : \mu = 37$
C) $H _ { 0 } : \mu = 34.14 , H _ { 1 } : \mu \neq 34.14$
D) $H _ { 0 } : \mu = 37 , H _ { 1 } : \mu = 34.14$ 8

Quizplus · Accepted Answer

The null hypothesis ($H_0$) is always stated as the condition of no change or no effect, in this case, $\mu = 37$. The alternative hypothesis ($H_1$) is what is tested against the null hypothesis, here it is $\mu \neq 37$, indicating a two-sided test for equality.

The Following Output from MINITAB Presents the Results of a Hypothesis