Lotioneer introduced a new formula for their skin lotion. They want to conduct an experiment to compare skin dryness of people using the new formula with those using the current formula. Information on the eight volunteers is shown in the table.

Volunteer Gender Age, year

1 Male 23

2 Female 25

3 Female 51

4 Female 24

5 Male 27

6 Male 53

7 Male 52

8 Female 56

Part A: The scientists running the experiment think skin dryness is based on age, not gender. Create four blocks of two volunteers and identify the volunteers, by number, who would be included in each block. Explain the criteria you used to create the blocks. (3 points)

Part B: The company brings in an outside analysis firm that believes skin dryness changes based on age and gender. The firm also uses block design with four blocks of two volunteers for each block. Group the volunteers, by number, who would be included in each block. Explain the criteria you used to create the blocks. (3 points)

Part C: The outside analysis firm from part B assigns treatments by giving two blocks the new formula and two blocks the current formula. Did they assign the treatments appropriately? If so, explain a suitable process for selecting the blocks that receive the new formula. If not, explain a suitable method for assigning treatments. (4 points)