A student was asked to find a 95% confidence interval for widget width using data from...
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.
Homework Answers
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.
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