Volunteer Gender Age 1 Male 21 Female 20 Male 47 Female 60 Female 62 Male 61 Male 58 Female 44 Male 44 Female 24 Male 23 Female

Question

Volunteer Gender Age 1 Male 21 Female 20 Male 47 Female 60 Female 62 Male 61 Male 58 Female 44 Male 44 Female 24 Male 23 Female 46 2 3 4 5 6 7 8 9 Question 4 Researchers who are studying a new shampoo formula plan to compare the condition of hair for people who use the new formula with the condition of hair for people who use the current formula Twelve volunteers are available to participate in this study Information on these volunteers numbered 1 through 12 is shown in the table below 10 11 12 a These researchers want to conduct an experiment involving the two formulas new and current of shampoo They believe that the condition of hair changes with age but not gender Because researchers want the size of the blocks in an experiment to be equal to the number of treatments they will use blocks of size 2 in their experiment Identify the volunteers by number that would be included in each of the six blocks and give the criteria you used to form the blocks b Other researchers believe that hair condition differs with both age and gender These researchers will also use blocks of size 2 in their experiment Identify the volunteers by number that would be included in each of the six blocks and give the criteria you used to form the blocks c The researchers in part b decide to select three of the six blocks to receive the new formula and to give the other three blocks the current formula Is this an appropriate way to assign IS

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