The table available below shows the costs per mile $($in cents$)$ for a sample of automobiles. At $=0\mathrm{.}05,$ can you conclude that at least one mean cost per mile is different from the others?

Click on the icon to view the data table.

Let ${}_{SS},{}_{MS},{}_{LS},{}_{\text{S}\text{U}\text{V}}$ and ${}_{MV}$ represent the mean costs per mile for small sedans, medium sedans, large sedans, SUV $4$ WDs$,$ and minivans respectively. What are the hypotheses for this test?

A$.H_0$: Not all the means are equal.

$H_a$:${}_{SS}={}_{MS}={}_{LS}={}_{\text{S}\text{U}\text{V}}={}_{MV}$

B$.H_0$:${}_{SS}={}_{MS}={}_{LS}={}_{\text{S}\text{U}\text{V}}={}_{MV}$

$H_a$:${}_{SS}{}_{MS}{}_{LS}{}_{\text{S}\text{U}\text{V}}{}_{MV}$

c$.H_0$:${}_{SS}={}_{MS}={}_{LS}={}_{\text{S}\text{U}\text{V}}={}_{MV}$

$H_a$ : Not all the means are equal.

D$.$

$H_0$:${}_{SS}{}_{MS}{}_{LS}{}_{\text{S}\text{U}\text{V}}{}_{MV}$

$H_a$:${}_{SS}={}_{MS}={}_{LS}={}_{\text{S}\text{U}\text{V}}={}_{MV}$

What is the test statistic?

$F_{\text{S}\text{T}\text{A}\text{T}}=(Roundto$ two decimal places $as$ needed.$)$

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$\backslash$table$[[$Small sedan,Medium sedan,Large sedan,SUV $4$WD$,$Minivan$],[62,63,60,73,66],[67,62,59,74,63],[62,62,61,64,75],[64,69,56,66,60],[64,70,57,,75],[,57,64,,]]$