In a recent sample of86used cars sales costs, the sample mean was$6,125with a standard deviation of$3,152. Assume the underlying distribution is approximately normal. NOTE: If you are using a Student'st-distribution, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.)

Construct a 95% confidence interval for the population mean cost of a used car.

(i) State the confidence interval. (Round your answers to one decimal place.)

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(ii) Sketch the graph.

(iii) Calculate the error bound. (Round your answer to one decimal place.)