Question

A student was asked to find a 95% confidence interval for widget width using data from a random sample of size n = 29. Which of the following is a correct interpretation of the interval 13.7 < μ < 25.4?

Check all that are correct.

• With 95% confidence, the mean width of all widgets is between 13.7 and 25.4.
• With 95% confidence, the mean width of a randomly selected widget will be between 13.7 and 25.4.
• There is a 95% chance that the mean of a sample of 29 widgets will be between 13.7 and 25.4.
• There is a 95% chance that the mean of the population is between 13.7 and 25.4.
• The mean width of all widgets is between 13.7 and 25.4, 95% of the time. We know this is true because the mean of our sample is between 13.7 and 25.4.

Answer 1

The correct statements for 95% confidence interval are:

With 95% confidence, the mean width of all widgets is between 13.7 and 25.4.

There is a 95% chance that the mean of a sample of 29 widgets will be between 13.7 and 25.4.