Question
Prompt
A research manager selected 2 random samples of ovens of a certain type to estimate the average amount of time this type of oven takes to preheat to 325 degrees Fahrenheit (F). The research manager recorded the amount of time, in minutes, each oven takes to preheat to . Based on the first sample, the research manager estimated that this type of oven takes an average of 14.2 minutes to preheat to 325 F, with an associated margin of error of 1 minute. Based on the second sample, the research manager estimated that this type of oven takes an average of 14.4 minutes to preheat to , with an associated margin of error of 2.3 minutes. Assuming the margins of error were calculated the same way, which of the following best explains why the first sample obtained a smaller margin of error than the second sample?