NOLLIOS Lesson #8 - Drawing a Conclusion from an Experiment Common Core Algebra II Homework 1. Recall the tomatoes from the previous lesson's homework. These tomatoes actually came from an experiment involving a new nutrient treatment, Grow More. The ten tomatoes were randomly assigned to two groups, a control group where no nutrient treatment was given to the tomatoes over a period of en days and an experimental group where the nutrient treatment, Grow More, was given to the tomatoes each day for ten days. The researchers are interested in determining if Grow More made a statistically significant difference in the weight of the tomatoes after the ten days. When the tomatoes were measured after the ten days, the following were the weights in ounces of the two groups. Treatment Group Control Group Group A Group B 9.1 8.4 8.0 7.7 7.3 5.9 6.4 4.4 5 .2 3.8 a) Find x, and x, and the difference value for the two groups. 36- 30.2- 6.2 b) Interpret the difference value in the context of this problem. On aug, Group A(treatment) weighed 6.2 02 more Da group B ( No brennan) In order to determine if this was a statistically significant difference, the researchers ran a simulation which randomly assigned the weights of the tomatoes into two groups, calculated the mean of each group, and found the difference value. This process was repeated 250 times and the resulting "Diff' values are in the dot plot below where each increment represents .04 ounces. - 2. 4 -1.6 -0.8 0.0 0.8 1.6 2.4 "Diff" c) What is the p-value for the difference value from the experiment? d) Based on your previous answer, do you think Grow More makes a statistically significant difference in the weight of the tomatoes? Explain your answer. 53