Carl the farmer has three fields of tomatoes, on one he used no fertilizer, in another he used organic fertilizer, and the third he used a chemical fertilizer. He wants to see if there is a difference in the mean weights of tomatoes from the different fields. The sample data is given below. The second table gives the results from an ANOVA test. Carl claims there is a difference in the mean weight for all tomatoes between the different fertilizing methods.

Tomato-Weight in Grams
No Fertilizer10310612812712310810998115115113.2
Organic Fertilizer127112125128140127122156118138129.3
Chemical Fertilizer125151160138143125131134113121134.1

ANOVA Results
-value
7.703110.00225481

(a) Test Carl's claim at the 0.05 significance level.

There is sufficient evidence to conclude that the population means are not equal.

(b) Does your conclusion change at the 0.01 significance level?

You can earn partial credit on this problem.