A student was asked to find a 95% confidence interval for widget width using data from a random sample of size n = 18. Which of the following is a correct interpretation of the interval 14.8 < μ < 30.6?
Check all that are correct.
The mean width of all widgets is between 14.8 and 30.6, 95% of the time. We know this is true because the mean of our sample is between 14.8 and 30.6.
With 95% confidence, the mean width of a randomly selected widget will be between 14.8 and 30.6.
With 95% confidence, the mean width of all widgets is between 14.8 and 30.6.
There is a 95% chance that the mean of the population is between 14.8 and 30.6.
There is a 95% chance that the mean of a sample of 18 widgets will be between 14.8 and 30.6.
The correct interpretations of the interval 14.8 < μ < 30.6 are:
- With 95% confidence, the mean width of a randomly selected widget will be between 14.8 and 30.6.
- With 95% confidence, the mean width of all widgets is between 14.8 and 30.6.