Question

A soda bottle company attempts to fill its bottles to exactly 16.0 ounces--STATUS QUO. What type of error would be made if the machine was filling the bottles to 15.5 ounces but the calibration device used to measure the fluid was incorrectly concluding that it was being filled to 16.0 ounces when it wasn't? As such, the company's bottles were actually short 0.5 ounces, and they would have the potential to be sued for false advertising.

a. type I error

b. type II error

c. type III error

d. no error was made

Answer 1

The type II error would be made.

Reason:

Here the null hypothesis is that,  soda bottle company attempts to fill its bottles to exactly 16.0 ounces. And we know that type II error means- Accept the null hypothesis when it truly false.

In this situation, the machine was filling the bottles to 15.5 ounces but the calibration device used to measure the fluid was incorrectly concluding that it was being filled to 16.0 ounces when it wasn't. That's why, the type II error made.

The correct answer is option b. Type II error.