2.Thirty GPAs from a randomly selected sample of statisticsstudents at a college are linked below. Assume that the populationdistribution is approximately Normal. The technician in charge ofrecords claimed that the population mean GPA for the whole collegeis 2.81. a. What is the sample? mean? Is it higher or lower thanthe population mean of 2.81?? b. The chair of the mathematicsdepartment claims that statistics students typically have higherGPAs than the typical college student. Use the? four-step procedureand the data provided to test this claim. Use a significance levelof 0.05.
2.86,3.37,3.17,2.51,3.49, 2.75, 3.04,3.59,2.65,3.97,2.89,2.66,3.52,3.06,2.79,3.45,2.47,3.14,3.43,3.13,3.18,3.08,3.09,2.96,3.49,3.43,2.73,3.14, 3.11,3.03
