student was asked to find a 99% confidence interval for widget width using data from a random sample of size n = 17. Which of the following is a correct interpretation of the interval 10.6 < μ < 24.2? Check all that are correct. The mean width of all widgets is between 10.6 and 24.2, 99% of the time. We know this is true because the mean of our sample is between 10.6 and 24.2. With 99% confidence, the mean width of a randomly selected widget will be between 10.6 and 24.2. There is a 99% chance that the mean of a sample of 17 widgets will be between 10.6 and 24.2. With 99% confidence, the mean width of all widgets is between 10.6 and 24.2. There is a 99% chance that the mean of the population is between 10.6 and 24.2.

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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 = 17. Which of the following is a correct interpretation of the interval 10.6 < μ < 24.2?

Check all that are correct.

  • The mean width of all widgets is between 10.6 and 24.2, 99% of the time. We know this is true because the mean of our sample is between 10.6 and 24.2.
  • With 99% confidence, the mean width of a randomly selected widget will be between 10.6 and 24.2.
  • There is a 99% chance that the mean of a sample of 17 widgets will be between 10.6 and 24.2.
  • With 99% confidence, the mean width of all widgets is between 10.6 and 24.2.
  • There is a 99% chance that the mean of the population is between 10.6 and 24.2.
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