The Following MINITAB Output Display Presents the Results of a Hypothesis

question 29

True/False

The following MINITAB output display presents the results of a hypothesis test for the difference $\mu _ { 1 } - \mu _ { 2 }$ between two population means.
$\begin{array}{l}\text { Two-sample T for X1 vs X2 }\\\begin{array}{rrrrc} & \mathrm{N} & \text { Mean } & \text { StDev } & \text { SE Mean } \\\text { A } & 7 & 112.415 & 23.485 & 8.876 \\\text { B } & 8 & 122.788 & 23.222 & 8.210\end{array}\end{array}$

Difference $= \operatorname { mu } ( \mathrm { X } 1 ) - \mathrm { mu } ( \mathrm { X } 2 )$
Estimate for difference: $- 10.373$
$95 \%$ CI for difference: $( - 34.072,13.326 )$
T-Test of difference $= 0 ($ vs not $= ) :$ T-Value $= - 0.857889$
$\mathrm { P }$ -Value $= 0.406493 \quad \mathrm { DF } = 13$
Can you reject $H _ { 0 }$ rejected at the $\alpha = 0.10$ level?

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