A student was asked to find a 99% confidence interval for widget width using data from a random sample of size n = 23. Which of the following is a correct interpretation of the interval 10.7 < μ < 28.6?
Check all that are correct.
With 99% confidence, the mean width of all widgets is between 10.7 and 28.6.
With 99% confidence, the mean width of a randomly selected widget will be between 10.7 and 28.6.
There is a 99% chance that the mean of the population is between 10.7 and 28.6.
The mean width of all widgets is between 10.7 and 28.6, 99% of the time. We know this is true because the mean of our sample is between 10.7 and 28.6.
There is a 99% chance that the mean of a sample of 23 widgets will be between 10.7 and 28.6.
The correct interpretations of the interval 10.7 < μ < 28.6 are:
- With 99% confidence, the mean width of all widgets is between 10.7 and 28.6.
- With 99% confidence, the mean width of a randomly selected widget will be between 10.7 and 28.6.
- The mean width of all widgets is between 10.7 and 28.6, 99% of the time. We know this is true because the mean of our sample is between 10.7 and 28.6.