The Following MINITAB Output Display Presents the Results of a Hypothesis

question 11

Multiple Choice

The following MINITAB output display presents the results of a hypothesis test for the difference $\mu _ { 1 } - \mu _ { 2 }$ between two population means.
$\begin{array}{l}\text { Two-sample T for X1 vs X2 }\\\begin{array}{rrrrc} & \text { N } & \text { Mean } & \text { StDev } & \text { SE Mean } \\\text { A } & 7 & 145.411 & 24.669 & 9.324 \\\text { B } & 14 & 132.964 & 25.604 & 6.843\end{array}\end{array}$

Difference $= m u ( X 1 ) - m u ( X 2 )$
Estimate for difference: $12.447$
$95 \%$ CI for difference: $( - 10.222,35.116 )$
$\mathrm { T } -$ Test of difference $= 0 ($ vs not $= ) : \quad$ T-Value $= 1.076209$
$\mathrm { P } -$ Value $= 0.301402 \quad \mathrm { DF } = 13$
What is the alternate hypothesis?

• A) \(\mu _ { 1 } < \mu _ { 2 }\)
• B) \(\mu _ { 1 } > \mu _ { 2 }\)
• C) \(\mu _ { 1 } \neq \mu _ { 2 }\)
• D) \(\mu _ { 1 } = \mu _ { 2 }\)