Answer:
Step-by-step explanation:
Let's consider the following problem:
Problem Statement: A coffee shop is interested in increasing their customer satisfaction ratings. They suspect that the temperature of the coffee and the brewing time may be factors that affect customer satisfaction.
Recognition of and statement of the problem:
The problem is to determine the effect of coffee temperature and brewing time on customer satisfaction ratings in a coffee shop.
Selection of the response variable(s):
The response variable is customer satisfaction rating, which can be measured on a scale of 1 to 10.
Choice of factors, levels, and ranges:
The factors to be considered are coffee temperature and brewing time. The temperature can be varied from 140°F to 200°F in increments of 10°F, and brewing time can be varied from 1 minute to 5 minutes in increments of 1 minute.
Factor 1: Coffee temperature (°F)
Levels: 140, 150, 160, 170, 180, 190, 200
Factor 2: Brewing time (minutes)
Levels: 1, 2, 3, 4, 5
The range of the factors has been chosen based on the typical range of temperatures and brewing times in a coffee shop, as well as the practical constraints of the experiment.
The next steps in the experimental design process would involve selecting an appropriate experimental design, such as a full factorial design or a fractional factorial design, and determining the number of replicates needed for each combination of factors. Finally, the experiment would be conducted and the results would be analyzed to determine the optimal temperature and brewing time for maximizing customer satisfaction ratings.