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A student was asked to find a 98% confidence interval for widget width using data from...

A student was asked to find a 98% confidence interval for widget width using data from a random sample of size n = 25. Which of the following is a correct interpretation of the interval 14.2 < μ < 24.4?

Check all that are correct.

  • There is a 98% chance that the mean of a sample of 25 widgets will be between 14.2 and 24.4.
  • With 98% confidence, the mean width of all widgets is between 14.2 and 24.4.
  • The mean width of all widgets is between 14.2 and 24.4, 98% of the time. We know this is true because the mean of our sample is between 14.2 and 24.4.
  • There is a 98% chance that the mean of the population is between 14.2 and 24.4.
  • With 98% confidence, the mean width of a randomly selected widget will be between 14.2 and 24.4.

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