A maker of commercial fertilizer for agricultural use has recently conducted a study of the effect of fertilizer mix and water quantity on the yield (in bushels per acre) for wheat. Three one-acre plots were planted with the same brand of wheat seed for each of three fertilizer mixes and four levels of water quantity. The data are provided in the file Wheat-Test.

Can you please show me all of the steps used to answer the questions below, including Minitab steps to get the info
a) Plot (using Excel of Minitab) the mean wheat production for each fertilizer level for each of the water quantities. Looking at the graphs, what conclusions do you reach about the interaction between fertilizer mix and water quantity? Discuss.
b) Based on the sample, data, is there interaction between fertilizer mix and water quantity? Test using a significance level equal to 0.05. Discuss the meaning of this result as it relates to this study. Use a p-value approach. Use Excel or Minitab to do the calculations. Include your output. Include all components in the test and do this by hand.
c) Based on the sample data, can you conclude that a difference exists in mean wheat production across the different fertilizer levels? Test using a significance level of 0.05.
d) Do the sample data indicate that there is a difference in mean wheat production across the four water quantities? Use a significance level of 0.05 and a p-value approach.

Transcribed Image Text:

Mix B Mix A Mix C 87 89 Water 67 Quantity 1 78 77 78 92 58 92 Water 55 60 70 Quantity 2 55 67 67 60 48 82 101 Water 90 104 Quantity 3 98 87 110 89 98 98 Water 67 54 78 Quantity 4 87 67 81 70 56 79