A student was asked to find a 99% confidence interval for widget width using data from a random sample of size n = 24. Which of the following is a correct interpretation of the interval 12 to 33.6? The mean width of all widgets is between 12 and 33.6, 99% of the time. We know this is true because the mean of our sample is between 12 and 33.6. We are 99% confident that the mean width of a randomly selected widget will be between 12 and 33.6. There is a 99% chance that the mean of a sample of 24 widgets will be between 12 and 33.6. We are 99% confident that the mean width of all widgets is between 12 and 33.6. Which is true?

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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A student was asked to find a 99% confidence interval for widget width using data from a random sample of size n = 24. Which of the following is a correct interpretation of the interval 12 to 33.6?

  • The mean width of all widgets is between 12 and 33.6, 99% of the time. We know this is true because the mean of our sample is between 12 and 33.6.
  • We are 99% confident that the mean width of a randomly selected widget will be between 12 and 33.6.
  • There is a 99% chance that the mean of a sample of 24 widgets will be between 12 and 33.6.
  • We are 99% confident that the mean width of all widgets is between 12 and 33.6.
  • Which is true?
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