Student researchers wanted to know whether students at their school could accurately estimate the length of a 17-second song snippet on average. They played 17 seconds of Corinne Bailey Rae’s song “Put Your Records On” to 25 students, with the results in the data file TimeEstimate. 

a. Describe the parameter estimated by the students. 

b. Verify the validity conditions for a theory-based confidence interval. 

c. Use the Theory-Based Inference applet to construct a 95% confidence interval and interpret it in the context of the problem. 

d. Based on your confidence interval do you have strong evidence that, on average, students cannot accurately estimate the length of a 17-second song snippet? Explain.