A quality assurance technician has checked fifteen 2-liter bottles of a soft drink finding a 99% confidence interval of 1950 ml to 2025 ml for the mean fill volume.Which of the following is true?
A)The sample indicates that the population mean lies between 1950 and 2025 ml.
B)There is a 99% likelihood that the bottles are being under-filled so the bottling process should be stopped.
C)The technician should recalculate at a 95% confidence interval.
D)The sample indicates that the sample mean lies closer to 2 liters than not.

Question

Quizplus · Accepted Answer

The 99% confidence interval of 1950 ml to 2025 ml means that we are 99% confident that the true mean fill volume of all bottles in the population lies between 1950 ml and 2025 ml. Therefore, choice A is true. Choice B is not true as we cannot make any conclusions about whether the bottles are being under-filled without further analysis. Choice C is not necessary as a higher level of confidence does not necessarily provide more information. Choice D is not a valid conclusion as we do not have enough information to determine whether the sample mean is closer to 2 liters or not.

A Quality Assurance Technician Has Checked Fifteen 2-Liter Bottles of a Soft