Let's analyze the information provided and identify which product's data Gerard most likely recorded with an error.
1. Umbrellas:
- Number of people: 25
- Given that the tropical region experiences more than 100 inches of rainfall annually, it is reasonable to assume that everyone (25 people out of 25 surveyed) uses umbrellas. Therefore, this number does not seem to be in error.
2. Insulated Gloves:
- Number of people: 22
- Insulated gloves are typically used in colder climates. Given that the average annual temperature in Gerard's tropical region is [tex]\( 77^\circ F \)[/tex], it is unusual for 22 people to regularly use insulated gloves. This number stands out as potentially being recorded in error.
3. Raincoats:
- Number of people: 19
- Similar to umbrellas, raincoats are practical in a region with high annual rainfall. It makes sense that a significant portion of people (19 out of 25) use raincoats, so this number appears to be reasonable.
4. Rubber Boots:
- Number of people: 13
- Rubber boots are useful for wet and muddy conditions, which are common in areas with heavy rainfall. Thus, it is plausible that 13 people use rubber boots, and this number seems consistent.
5. Hats:
- Number of people: 8
- Hats can provide protection from both the sun and rain, so it is reasonable that some people use them. The number (8) does not seem unusual given the context.
Based on this analysis, the most likely product data recorded with an error is for insulated gloves. The high number of people (22 out of 25) using insulated gloves in a tropical region with an average temperature of [tex]\( 77^\circ F \)[/tex] is inconsistent with the expected needs for such an item.
