Suppose the math department chair at a large state university wants to estimate the average overall rating, out of five points, that students taking Introductory Statistics gave their lecturers on their end-of-term evaluations. She selects a random sample of 40 evaluations and records the summary statistics shown. Macmillan Learning Sample Sample Sample standard Population standard Standard Confidence size mean deviation deviation deviation of x level n X ox C 40 3.8303 1.0112 1.0750 0.1700 95% The department chair determines the standard deviation of the sampling distribution of x using o, the standard deviation calculated from all student evaluations submitted to her department. Assume the Statistics lecturers' ratings have the same standard deviation. Use this information to find the margin of error and the lower and upper limits of a 95% confidence interval for M, the mean overall rating students gave their Introductory Statistics lecturers. Round your answers to the nearest hundredth. Margin of error = Lower limit = Upper limit = Complete the following sentence to state the interpretation of the department nan's confidence interval