Chapter 6.2, Problem 6.37E

(a)

To determine

To identify the subjects, explanatory variable and response variable for this experiment.

Answer to Problem 6.37E

Subjects: Clothes

Explanatory Variables: Brand of Detergent, Water temperature

Response Variable: how clean the clothes are

Explanation of Solution

Subjects: Clothes

Explanatory Variables: Brand of Detergent, Water temperature

Response Variable: how clean the clothes are

The subject of the experiment is the object being studied which are the clothes. An explanatory variable is something you change to get the result of your experiment which is the brand of detergent and the water temperature. The response variable is caused by the explanatory variables which would be how clean the clothes are.

(b)

To determine

To make a diagram to describe the treatment and how many treatment combination are there and how many pieces of laundry should be assigned to each treatment combination.

Answer to Problem 6.37E

There are four treatment combination.

Each treatment combination is assigned with 30 pieces of clothes.

Explanation of Solution

The diagram is as;

  

There are four treatment combination.

Each treatment combination is assigned with 30 pieces of clothes.

(c)

To determine

To describe how we would use randomization in our experimental design.

Explanation of Solution

You would use randomization to assign the pieces of clothes to a treatment.

Using randomization to assign clothes to a treatment would be beneficial because then each treatment would have an equal chance of clean a certain type of clothing well.