A student was asked to find a 90 % confidence interval for widget width using data from a random sample of size n = 16. Which of the following is a correct interpretation of the interval 10.5 < μ< 34.3? Check all that are correct. There is a 90% chance that the mean of a sample of 16 widgets will be between 10.5 and 34.3. With 90% confidence, the mean width of all widgets is between 10.5 and 34.3. The mean width of all widgets is between 10.5 and 34.3, 90% of the time. We know this is true because the mean of our sample is between 10.5 and 34.3. There is a 90% chance that the mean of the population is between 10.5 and 34.3. With 90% confidence, the mean width of a randomly selected widget will be between 10.5 and 34.3.

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A student was asked to find a 90% confidence interval for widget width using data from a random sample of size \( n = 16 \). Which of the following is a correct interpretation of the interval \( 10.5 < \mu < 34.3 \)?

Check all that are correct.

- [ ] There is a 90% chance that the mean of a sample of 16 widgets will be between 10.5 and 34.3.

- [ ] With 90% confidence, the mean width of all widgets is between 10.5 and 34.3.

- [ ] The mean width of all widgets is between 10.5 and 34.3, 90% of the time. We know this is true because the mean of our sample is between 10.5 and 34.3.

- [x] There is a 90% chance that the mean of the population is between 10.5 and 34.3.

- [ ] With 90% confidence, the mean width of a randomly selected widget will be between 10.5 and 34.3.
Transcribed Image Text:A student was asked to find a 90% confidence interval for widget width using data from a random sample of size \( n = 16 \). Which of the following is a correct interpretation of the interval \( 10.5 < \mu < 34.3 \)? Check all that are correct. - [ ] There is a 90% chance that the mean of a sample of 16 widgets will be between 10.5 and 34.3. - [ ] With 90% confidence, the mean width of all widgets is between 10.5 and 34.3. - [ ] The mean width of all widgets is between 10.5 and 34.3, 90% of the time. We know this is true because the mean of our sample is between 10.5 and 34.3. - [x] There is a 90% chance that the mean of the population is between 10.5 and 34.3. - [ ] With 90% confidence, the mean width of a randomly selected widget will be between 10.5 and 34.3.
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