STAT 378 – 01/02Fall 2021Homework Assignment 4Due Tuesday, October 5that the beginning of class1.Recall the context from homework assignment 3, problem 3:Many researchers inthe field of education have identified a strong relationship between a student’ssocio-economic status and their performance in school.Specifically, researchersbelieve that the more money a student’s parent’s make, the higher that student’sGPA will be.To investigate whether this phenomenon holds true for currentKirksville High School students, a random sample of students from KirksvilleHigh School was selected.For each student, the cumulative GPA (measured on a4.0 scale) and annual parent’s income (measured in $10,000) were recorded.Thedataset, calledhighschool.xlscan be found on Blackboard in the previoushomework assignment folder.a.Calculate a 95% confidence interval for the population slope, being sure toshow all work.Round final endpoints to 3 decimal places.b.The statement “researchers believe that the more money a student’sparent’s make, the higher that student’s GPA will be,” is equivalent tosaying there is a positive, linear relationship between parents income andstudent’s GPA for all current Kirksville High School students.Does yourconfidence interval support this statement?Explain your answer.c.Use MINITAB to testH0:β1=0vs.HA:β1>0.
