Suppose that you are planted three tomato plants (same variety) in your garden and you want to see if the soil you used makes a difference in the size of tomatoes the plants produce. The tomatoes are measured by weight in grams. The first tomato is planted in the regular dirt, the second is planted in soil from your compost pile, and the third is planted in Miracle-Gro planting soil. All plants are given equal amounts of water and sunlight. Miracle- Dirt Compost Gro 144 182 194 152 190 177 145 200 186 129 215 203 171 180 165 144 144 169 168 155 190 167 150 Perform a full ANOVA test to test whether the the mean weights of the tomatoes are the same for each soil type. Use a 1% significance level. (a) State the null and alternative hypotheses. (b) Use technology to determine the F statistic. (c) Use technology to determine the P-value. (d) State the conclusion of the hypothesis test