Suppose that a colleague comes to you for help prior to conducting an experiment with two treatments to determine the effects on the density (weight) of cornbread.  The recipe for the cornbread is similar for the two treatments except that 1table spoon baking soda (Treatment A) and 2T. Baking soda (Treatment B) will be used.  Your colleague would like your assistance with determining the number of batches of each treatment to produce in order to state that there is a significant difference between the two treatments.

a. What additional information will be necessary from your colleague before you can determine the number of batches of each treatment?  Assume that she has unlimited resources for preparing the recipes.

b.  After your colleague conducts the experiment with the recommended number of batches of each treatment and the batches randomly assigned to each treatment, she approaches you again to assist her with the statistical analysis.  Describe the type of analysis you would conduct for such an experiment. And then write Why you would use this specific type of analysis, as well as the statistical assumptions necessary to be satisfied to obtain accurate results.

c.   For a subsequent experiment, your colleague would like to make the basic recipe for a single batch, split the batch in half, and add 1Table spoon baking soda to one half of the batch and 2T. Baking soda to the other half of the batch.  Describe the type of analysis you would conduct for such an experiment and how this differs from the analysis in b. And then write Why you would use this specific type of analysis, as well as the statistical assumptions necessary to be satisfied to obtain accurate results.