question

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 34 evaluations and records the summary statistics shown. Sample Sample Sample standard Population standard Standard Confidence size mean deviation deviation deviation of x level n x S Ox C 34 4.0930 1.0512 1.1780 0.2020 90% 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 90% 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 chair's confidence interval. The : that the of the overall ratings given on at the end of the termAnswer Bank confidence interval the student evaluations in the sample is 4.0930 standard deviation department chair is 90% confident is between the lower and upper limits probability is 90% all student evaluations of Statistics lecturers standard deviation of x mean