## Statistics-What is the margin of error of your estimate of

Consider the following statement for questions 1-5It is given that$132.50for the expenses of books andsupplies for the students of a certain large university for asemester. To estimate the mean of such expenses for all thestudents, a simple random sample of 35 students is takenand the mean for these 35 students is.x $397.631. What is the margin of error of your estimate of thepopulation mean at a 95% confidence level?2. Construct a 95% confidence interval for the mean suchexpenses for all the students.3. What is the margin of error of your estimate of thepopulation mean at a 99% confidence level?4. Construct a 99% confidence interval for the mean suchexpenses for all the students.5. Which of the two confidence interval is wider?Consider the following for the questions 6-9We have to construct a confidence interval for the mean of SAT(verbal and quantitative) scores of students who use a specialcoaching. How large a sample must be taken to participate inthe coaching group to estimate this mean with a margin oferror of no more than 25 points if we can assume that thepopulation standard deviation is 175 points for the referencepopulation?Compute the required sample size for each of the followingconfidence levels.1. 90% confidence2. 95% confidence3. 99% confidenceConsider the following for the questions 10-12A clinic claims that the average time taken by a patient to see thedoctor from the appointment timeis 30 minutes. A simple random sample of 35 patients iscontacted the mean of the wait time for this sample is 47 minutesand the standard deviation of the wait time for this sample is 12minutes.10.What is the margin of error of your estimate of thepopulation mean at a 95% confidence level?11.Construct a 95% confidence interval for the mean wait timefor all the patients.12. Is 30 minute in this interval?