Machines at a bottling plant are set to fill bottles to 12 ounces. The quality control officer at the

plant periodically tests the machines to be sure that the bottles are filled to an appropriate amount.

The null hypothesis of the test is that the mean is at least 12 ounces. The alternative hypothesis is

that the mean is less than 12 ounces.

Which of the following describes a Type I error that could result from the test?

A. The test does not provide convincing evidence that the mean is less than 12 ounces, but the

actual mean is at least 12 ounces.

B. The test does not provide convincing evidence that the mean is less than 12 ounces, but the

actual mean is less than 12 ounces.

C. The test does not provide convincing evidence that the mean is less than 12 ounces, but the

actual mean is 12 ounces.

D. The test provides convincing evidence that the mean is less than 12 ounces, but the actual

mean is at least 12 ounces.

E. The test provides convincing evidence that the mean is less than 12 ounces, but the actual

mean is 11 ounces.