Question

A student was asked to find a 90% confidence interval for widget width using data from a random sample of size n = 21. Which of the following is a correct interpretation of the interval 11.3 < μ < 20.5?Check all that are correct.With 90% confidence, the mean width of a randomly selected widget will be between 11.3 and 20.5.With 90% confidence, the mean width of all widgets is between 11.3 and 20.5.90% of all the widgets have a width between 11.3 and 20.5.There is a 90% chance that the mean of a sample of 21 widgets will be between 11.3 and 20.5.

Answer 1

Solution

The (1 - α)% confidence interval for population parameter implies that there is a (1 - α) probability that the true value of the parameter is included in the interval.

Option A, B and D.