SupposeX1,...,X20are iidNor(μx,σ2),Y1,...,Y20are iid Nor(μy,σ2),and all of theX′isare independent of all of theY′is. Further suppose thatX¯¯¯¯=23,S2x=5184,Y¯¯¯¯=−11,and S2y=900.Find a 95% two-sided confidence interval on the ratio of the population variancesσ2x/σ2y

Given a normal distribution with µ =50 and σ =4, what is the probability that 5% of the values are less than what x values? between what two x values (symmetrically distributed around the mean) are 95 % of the values? instructions: show all your work as to how you have reached your answer. don’t simply state the results. show graphs where necessary.