Name:AP Statistics10.1A and C ReviewSuppose you administer a certain aptitude test to a random sample of 9 students in your school, and that theaverage score is 105.We want to determine the mean µ of the population of all students in the school.Assumea standard deviation of = 15 for the test.1.What is the upper critical value for a 98% confidence interval?(Show the key numbers in the sketch of thedistribution.)-3.03.0.50-.502.Explain the meaning of “98% confident.”3.What is the standard deviation of the mean,x4.Calculate a 98% confidence interval for the mean score µ for the whole school. Follow the InferenceToolbox.5.What sample size would be needed to have a margin of error at most 4 points??Chapter 10