To determine for which product Gerard most likely recorded the data with an error, we need to carefully consider the context of the region where Gerard lives.
1. Context: Gerard lives in a tropical region characterized by an average annual temperature of [tex]\(77^{\circ} F\)[/tex] and high annual rainfall (over 100 inches).
2. Analysis of Products:
- Umbrellas: With heavy rainfall, it is very logical for all 25 people surveyed to regularly use umbrellas. No error is suspected here.
- Raincoats: Similar to umbrellas, raincoats are commonly used in regions with heavy rainfall. Hence, the reported number (19 people) seems plausible.
- Rubber Boots: Rubber boots are useful in wet conditions. While fewer people (13) use them compared to umbrellas and raincoats, they are still relevant in rainy conditions. This number makes sense.
- Hats: Hats are less directly related to rain, but they can still provide shade and some protection from the elements. Less usage (8 people) also makes sense.
- Insulated Gloves: Insulated gloves are typically used in colder climates to keep hands warm. In a tropical region with high temperatures (average [tex]\(77^{\circ} F\)[/tex]), it’s highly unlikely that a significant number of people (22 out of 25) would use insulated gloves regularly.
Thus, the most likely scenario involves a data recording error for the insulated gloves. Given the climate of the tropical region, it is improbable that 22 people regularly use insulated gloves.
Based on this analysis, the product for which Gerard has most likely recorded the data with an error is:
Insulated gloves
