Question

A company claims that its coffee cans contain 9.4 ounces of coffee, on average. You take many large samples, and find, each time, that the mean weight of the sample is within the 95% confidence interval. Which of the following would be a reasonable conclusion?
A. The company's coffee cans contain 9.4 ounces of coffee, on average.
B. The company's coffee cans do not contain 9.4 ounces of coffee, on average.
C. The company's coffee cans contain more than 9.4 ounces of coffee, on average.
D. The company's coffee cans contain less than 9.4 ounces of coffee, on aver

Answer 1

None is appropriate. It goes to the definition and meaning of a Confidence Interval. Explain.

Answer 2

That is all the question gave.

Answer 3

Nonresponsive. YOU need to know. The answer is not in the question.

The answer is in an understanding of a Confidence Interval. Think it through. What does a Confidence Interval tell us? What does it mean? Does it tell us something specific? Does it hint at something? What is a Confidence Interval and what does it say?

Answer 4

We can be confident in this case that the distribution of the sample means is Normal, the reason being that many large samples were taken. This normal distribution lies within the limits of the 95% confidence interval. What can we conclude regarding the mean value of this normal distribution?

Answer 5

Hint: The Central Limit Theorem is very relevant to my posting

Answer 6

I would expect a COMPLETELY CORRECT answer to be, "We have no evidence that the mean is other than 9.4 ozs." We can rule out B, but we can't quite rule in A.

Answer 7

A

Answer 8

The only possible choice is A based on the reasoning that I gave.

Answer 9

I believe that "A" is marked correct on the exam. I do not agree that "A" is exactly correct.

Answer 10

Statistical techniques do not always give precise answers :)

Answer 11

Thank you guys so much!

Answer 12

You're welcome :)