A student was asked to find a 90% confidence interval for widget width using dat

Question

A student was asked to find a 90% confidence interval for widget width using data from a random sample of size n = 29. Which of the following is a correct interpretation of the interval 13.4 < ? < 22.7?

Check all that are correct.

There is a 90% chance that the mean of the population is between 13.4 and 22.7.

With 90% confidence, the mean width of a randomly selected widget will be between 13.4 and 22.7.

The mean width of all widgets is between 13.4 and 22.7, 90% of the time. We know this is true because the mean of our sample is between 13.4 and 22.7.

There is a 90% chance that the mean of a sample of 29 widgets will be between 13.4 and 22.7.

With 90% confidence, the mean width of all widgets is between 13.4 and 22.7.

Explanation / Answer

Since a 90% confidence interval represents that there is 90% chance that the mean of the population lies in the given interval.

Hence only the given below statement is correct.

There is a 90% chance that the mean of the population is between 13.4 and 22.7.

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