A particular type of diet cola advertises that each can contains 12 ounces of the beverage. Each hour, a supervisor selects 10 cans at random, measures their contents, and computes a 95% confidence interval for the true mean volume. For one particular hour, the 95% confidence interval is 11.97 ounces to 12.05 ounces.
a. Does the confidence interval provide convincing evidence that the true mean volume is different than 12 ounces? Explain your answer.
b. Does the confidence interval provide convincing evidence that the true mean volume is 12 ounces? Explain your answer.

Respuesta :

According to the given confidence interval, we have that:

a) Since 12 ounces is part of the confidence interval, the interval does not provide convincing evidence that the true mean volume is different than 12 ounces.

b) Since 12 ounces is part of the confidence interval, the interval provides convincing evidence that the true mean volume is 12 ounces.

What is the hypothesis tested?

It is being tested if the true mean volume is different of 12 ounces, hence:

  • If the confidence interval contains 12 ounces, it provides convincing evidence that the true mean volume is 12 ounces.
  • If the confidence interval does not contain 12 ounces, it provides convincing evidence that the true mean volume is not 12 ounces.

In this problem, the interval is (11.97, 12.05), hence it provides convincing evidence that the true mean volume is 12 ounces, and basically, item a is False and item b is True.

You can learn more about confidence intervals at brainly.com/question/16236451