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Mathematics

A company sells bottles of water. Using data from a random sample of all water bottles, the mean volume, in liters, of water per bottle is 0.96. The margin of error for this estimation is 0.08 liters of water. Which of the following is the most appropriate claim to make based on this sample?

A.The company always fills its water bottles with less than 1 liter of water.
B.The company always fills its water bottles with between 0.96 liters and 1.04 liters of water.
C.The company always fills its water bottles with between 0.88 liters and 1.04 liters of water.
D.It is plausible that the mean volume of all bottles sold by the company is in the range 0.88 liters to 1.04 liters.

答案和解析

答案：D

解析：

Option D is correct. The margin of error is associated with the mean estimate for all the water bottles based on the mean of the sample bottles so it is likely that the mean volume of all bottles is between 0.96-0.08 and 0.96+0.08 liters, or between 0.88 and 1.04 liters.