Repeat parts (c) and (d) from Exercise 3.3.17 except construct a 99% confidence interval. How do the midpoints and widths of the 99% and 95% confidence intervals compare?

Data from Exercises 3.3.17

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.

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.