Final Answer:
1. The variables in the data set are: qualitative - nutritional claims, quantitative - shelf location. Option a is correct.
2. No, the shelf position of the cereal is not related to the nutritional content because 'because shelf position and nutritional content are unrelated'. Option d is correct.
Step-by-step explanation:
The qualitative variable in the data set is nutritional claims, as it involves descriptions or characteristics of the cereals, such as "low fat" or "high fiber." The quantitative variable is shelf location, as it involves numerical values that indicate the position of the cereals on the shelves, such as "bottom," "middle," or "top."
In grocery stores, cereal manufacturers often pay for specific shelf positions to increase visibility and sales. The placement of cereals on the shelves is usually based on factors like popularity, marketing agreements, and consumer demand. Nutritional content, on the other hand, is regulated by food authorities and is displayed on the packaging of the cereal. It is not directly influenced by the shelf position.
For example, a cereal with a high nutritional value can be placed on any shelf, whether it is the top, middle, or bottom. Similarly, a cereal with low nutritional value can also be placed on any shelf. The shelf position is primarily determined by marketing strategies and the manufacturer's agreement with the store.
In conclusion, the shelf position of the cereal is unrelated to the nutritional content, as it is influenced by marketing and product placement rather than the nutritional value of the cereal.
Correct answer:
- a) Qualitative: Nutritional claims, Quantitative: Shelf location
- d) No, because shelf position and nutritional content are unrelated.