In an attempt to reduce childhood obesity, health researchers want to reinstate the requirements for physical education (PE) in middle schools. They hypothesize that students who take a PE course for a semester will lose weight. Therefore, for the 2017 -2018 academic year all students are required to participate in a PE course. Weight (in kg) was measured at the beginning of the semester they took the course andat the end of the semester.From a sample of 60 students:

• the mean decrease in weight is 4 kg (i.e., D bar = -4)
• the sample variance is 30.

What are the 95% confidence intervals for the mean of the differences?

Select only one answer

• -64, 56

• -2.819, -5.181

• 2.819, 5.181

• -2.586, -5.414