Chapters 20-21 Summative Assessment Part 1

Question

A coffee machine is set to fill mugs with 10 ounces. Mr. Stant is worried that the machine is not filling his mug to the appropriate amount and decides to collect a random sample to analyze the data. His null hypothesis is that the mean amount filled is at least 10 ounces and the alternative hypothesis is that the mean amount filled is less than 10 ounces.

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

a	The test provides convincing evidence that the mean is less than 10 ounces, but the actual mean is 9 ounces.
b	The test does not provide convincing evidence that the mean is less than 10 ounces, but the actual mean is at least 10 ounces.
c	The test provides convincing evidence that the mean is less than 10 ounces, but the actual mean is at least 10 ounces.
d	The test does not provide convincing evidence that the mean is less than 10 ounces, but the actual mean is 10 ounces.
e	The test does not provide convincing evidence that the mean is less than 10 ounces, but the actual mean is less than 10 ounces.

Answer 1

The test provides convincing evidence that the mean is less than 10 ounces, but the actual mean is at least 10 ounces. (c)