Use the Following Information for the Question $\begin{array} { l } \mathrm { F } = 12.57818941 \\P = 2.5637132 E - 4\end{array}$

Multiple Choice

Use the following information for the question. A group of home gardeners want to test whether the type of soil used to grow
heirloom tomatoes has an effect on the number of tomatoes harvested. Gardeners randomly assigned tomato plants to be
grown in soil with no fertilizer, commercial plant food, and homemade compost. All other growing conditions were kept the
same. Forty plants were assigned to each group. At the end of the growing season the number of tomatoes harvested was
counted. Assume that all other conditions for the ANOVA test have been met. One-way ANOVA

$\begin{array} { l } \mathrm { F } = 12.57818941 \\P = 2.5637132 E - 4\end{array}$
Factor
$\mathrm { df } = 2$
$\mathrm { SS } = 710.349206$
$\mathrm { MS } = 355.174603$
-State the null and alternative hypothesis.

A) $\mathrm { H } _ { 0 } : \mu _ { \text {none } } = \mu _ { \text {commercial } } = \mu _ { \text {compost } }$
$\mathrm { H } _ { \mathrm { a } }$ : The mean number of tomatoes harvested differs by type of fertilizer used..
B) $\mathrm { H } _ { 0 }$ : The mean number of tomatoes harvested differs by type of fertilizer used.
$\mathrm { H } _ { \mathrm { a } }$ : There is no difference in the mean number of tomatoes harvested by type of fertilizer used.
C) $\mathrm { H } _ { 0 } : \mu _ { \text {none } } < \mu _ { \text {commercial } } < \mu _ { \text {compost } }$
$\mathrm { H } _ { \mathrm { a } }$ : There is no difference in the mean number of tomatoes harvested.
D) None of these