The student's friend examined the data and suggested that the average burn time for a vanilla candle should be 28.5 hours and not 27.1 hours. Suggest a reason for this different average time.
Question
The student's friend examined the data and suggested that the average burn time for a vanilla candle should be 28.5 hours and not 27.1 hours. Suggest a reason for this different average time.
Solution
There could be several reasons for this difference in average burn time:
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Different Testing Conditions: The friend might have tested the candle under different conditions. Factors such as room temperature, air pressure, and even the presence of drafts can affect how long a candle burns.
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Different Sample Size: The friend might have tested more or fewer candles than the student. If the friend tested more candles, their average might be more accurate. If they tested fewer, their average might be less reliable.
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Different Candles: Not all vanilla candles are created equal. The friend might have tested a different brand or type of vanilla candle. Differences in wick size, candle size, and even the specific scent formula can all affect burn time.
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Measurement Error: Either the student or the friend could have made a mistake when measuring the burn time. This could be due to distraction, forgetting to check the time, or even falling asleep while the candle was burning.
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Candle Variability: Even within the same type and brand of candle, there can be variability. For example, some candles might have minor defects that affect burn time. If the friend happened to test candles that were all on the longer-burning side of this variability, that could skew their average higher.
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