A student was asked to find a 99% confidence interval for a widget width using data from a random sample of size n = 16. Which of the following is a correct interpretation of the interval 14.9 < μ < 22.7? Check all that are correct. The mean width of all widgets is between 14.9 and 22.7, 99% of the time. We know this is true because the mean of our sample is between 14.9 and 22.7. With 99% confidence, the mean width of a randomly selected widget will be between 14.9 and 22.7. With 99% confidence, the mean width of all widgets is between 14.9 and 22.7. There is a 99% chance that the mean of the population is between 14.9 and 22.7. There is a 99% chance that the mean of a sample of 16 widgets will be between 14.9 and 22.7.

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A student was asked to find a 99% confidence interval for a widget width using data from a random sample of size n = 16. Which of the following is a correct interpretation of the interval 14.9 < μ < 22.7?

Check all that are correct.

  • The mean width of all widgets is between 14.9 and 22.7, 99% of the time. We know this is true because the mean of our sample is between 14.9 and 22.7.
  • With 99% confidence, the mean width of a randomly selected widget will be between 14.9 and 22.7.
  • With 99% confidence, the mean width of all widgets is between 14.9 and 22.7.
  • There is a 99% chance that the mean of the population is between 14.9 and 22.7.
  • There is a 99% chance that the mean of a sample of 16 widgets will be between 14.9 and 22.7.
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