Reference no: EM132434530

Problem: Latheritup introduced a new formula for their body wash. They want to conduct an experiment to compare skin cleanliness of people using the new formula and current formula. Information on the sixteen volunteers is shown in the table.

Volunteer Gender Age, year

1 Female 24

2 Male 35

3 Female 32

4 Female 44

5 Male 22

6 Male 42

7 Male 56

8 Male 39

9 Female 56

10 Female 20

11 Male 26

12 Female 34

13 Male 44

14 Female 52

15 Male 51

16 Female 47

Part A: The scientists running the experiment think skin cleanliness changes as people age, not based on their gender. Create eight 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.

Part B: The company brings in an outside analysis firm that believes skin cleanliness changes based on age and gender. The firm also uses block design with eight 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.

Part C: The outside analysis firm from part B assigns treatments by giving four blocks the new formula and four 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.