Final answer:
Individual variability, comprising genetics, diet, metabolism, sleep patterns, and stress levels, accounts for the differences in weight loss outcomes in a controlled workout program. In a fitness center study, the population is all clients, the sample is a group from this population, the parameter is the average exercise time for all clients, and the statistic is the average time for the sample.
Step-by-step explanation:
The differences in outcomes regarding the amount of weight lost among the twenty people who began the same workout program may be attributed to individual variability.
This includes factors like genetics, diet, metabolism, sleep patterns, and stress levels that can influence how a person responds to exercise.
Even if the workout time and the exercises performed are controlled, these individual factors can lead to different weight loss results.
For the fitness center interested in the mean amount of time a client exercises each week:
- a. Population: All clients of the fitness center.
- b. Sample: A select group of clients from the fitness center that is studied.
- c. Parameter: The average time all clients spend exercising in the center each week.
- d. Statistic: The average time the sampled clients spend exercising in the center each week.
- e. Variable: The amount of time spent exercising by each client.
- f. Data: The recorded exercise times for each client in the sample.
It's crucial for the fitness center to conduct its research by ensuring that the sample is representative of the population and that the data collected is accurate to determine the parameter accurately.