problem 1: Empire State College would like to know more aboutthe age distribution of its online statistics students.Do the data provide evidence that the mean age is not 30 years?Problem 2: Pew Research says that 53% of American adults callthemselves middle class.The sample size was n=2413.http://pewresearch.org/databank/dailynumber/?NumberID=559How confident are you that between 51% and 55% of Americans callthemselves middle class?How likely is it that more than 55% call themselves middleclass?Problem 3: Some have suggested that a higher proportion of womenthan men under 35 use online education because they can combineonline education with childcare.Do the ESC online statistics students offer any insight into thatquestion?You must do a test of significance to answer this question.Problem 4: Is there evidence that more than half the onlinestatistics students are over 30?