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A college's provost (chief academic ofcer) selects a random sample of 5 students' overall grade point averages [GPAs) in each of 8 consecutive semesters. These
A college's provost (chief academic ofcer) selects a random sample of 5 students' overall grade point averages [GPAs) in each of 8 consecutive semesters. These sample GPAs along with their sample means (:72), sample ranges (R), and sample proportions [15) are given in the table below. (FYI: Any GPA that is less than 2.0 was considered "defective" in the calculation of the 15 statistics for each subgroup.) Eight Subgroups (or Samples) of Size Five Subgroup :T: R 1'5 1 3.5 3.1 2.4 2.9 3.4 3.06 1.1 0 2 3.0 3.8 2.8 2.9 2.1 2.92 1.7 0 3 1.3 3.0 1.2 1.4 1.9 1.76 1.8 0.8 4 2.2 1.6 3.3 3.0 1.5 2.32 1.8 0.4 5 1.1 3.6 3.3 1.9 1.8 2.34 2.5 0.6 6 3.7 3.3 4.0 3.8 1.5 3.26 2.5 0.2 7 2.2 2.1 3.8 3.8 1.7 2.72 2.1 0.2 8 3.0 2.6 1.1 2.5 1.7 2.18 1.9 0.4 Averages 2.57 1.9 0.4 Find the values of the UCL and LCL on the following control charts for this data. Round all answers to 4 places after the decimal point (if necessary). A. :73 chart B. R chart C. p chart
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