A commonly cited standard for one-way length (duration) of school bus rides for elementary school children is 30 minutes. A local government office in a rural area randomly samples 100 elementary school children in their district and finds an average one-way commute time of 38 minutes with a standard deviation of 8 minutes.

A 95% confidence interval calculated based on this sample is (36.4, 39.6). Which of the following is the correct interpretation of this interval?

Options:

• 95% of the time the elementary school children in this district commute to school in 36.4 to 39.6 minutes.
• We are 95% confident that the average commute time of all elementary school children in this district is between 36.4 and 39.6 minutes.
• 95% of random samples yield a sample mean between 36.4 and 39.6 minutes.
• We are 95% confident that the average commute time of elementary school children in this sample is between 36.4 and 39.6 minutes.
• •