The Following Output from MINITAB Presents the Results of a Hypothesis

question 80

Multiple Choice

The following output from MINITAB presents the results of a hypothesis test for a population mean $\mu$ .

Test of $\mathrm { mu } = 45$ vs. not $= 45$

$\begin{array}{llrccrl}\mathrm{N} & \text { Mean } & \text { StDev } & \text { SE Mean } & 95 \% \text { CI } & \text { T } & \text { P } \\54 & 42.10 & 16.331795 & 2.222476 & (37.642247,46.557753) & -1.304851 & 0.1975\end{array}$

What are the null and alternate hypotheses?

• A) \(H _ { 0 } : \mu = 45 , H _ { 1 } : \mu = 42.10\)
• B) \(H _ { 0 } : \mu = 45 , H _ { 1 } : \mu \neq 45\)
• C) \(H _ { 0 } : \mu = 42.10 , H _ { 1 } : \mu \neq 42.10\)
• D) \(H _ { 0 } : \mu \neq 45 , H _ { 1 } : \mu = 45\)

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