Mathematics>Standard Multiple Choice
Read the following SAT test question and thenclick on a button to select your answer.
A company sells bottles of water. Using data from arandom sample of all water bottles, the meanvolume, 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 thissample?
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.
Option D is correct. The margin of error isassociated with the mean estimate for all the waterbottles based on the mean of the sample bottles soit is likely that the mean volume of all bottles isbetween 0.96-0.08 and 0.96+0.08 liters, or between 0.88 and 1.04 liters.