Data: https://cran.r-project.org/web/packages/Stat2Data/Stat2Data.pdf

6.36 Alfalfa sprouts. Some students were interested in how an acidic environment might affect the growth of plants. They planted alfalfa seeds in 15 cups and randomly chose ve to get plain water, ve to get a moderate amount of acid (1.5M HCl), and ve to get a stronger acid solution (3.0M HCl). The plants were grown in an indoor room, so the students assumed that the distance from the main source of daylight (a window) might have an effect on growth rates. For this reason, they arranged the cups in ve rows of three, with one cup from each Acid level in each row. These are labeled in the dataset as Row: 0. = farthest from the window through e = nearest to the window. Each cup was an experimental unit, and the response variable was the average height of the alfalfa sprouts in each cup after four days (Ht4). The data are shown in the table below and stored in the Alfalfa le: [ Alfalfa Heatment/Cup a b c d e water 1.45 2.79 1.93 2.33 4.85 1.5 HCl 1.00 0.70 1.37 2.80 1.46 3.0 HCl 1.03 1.22 0.45 1.65 1.07 a. Find the means for each row of cups (3, b, ..., e) and each treatment (water, 1.5 HCl, 3.0 H01). Also nd the average and standard deviation for the growth in all 15 cups. b. Construct a two-way main effects AN OVA table for testing for differences in average growth due to the acid treatments using the rows as a blocking variable. c. Check the conditions required for the AN OVA model. d. Based on the AN OVA, would you conclude that there is a signicant difference in average growth due to the treatments? Explain why or why not. e. Based on the AN OVA, would you conclude that there is a signicant difference in average growth due to the distance from the window?I Explain why or why not