Question
A college's provost (chief academic officer) 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 officer) 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 (x), sample ranges (R), and sample proportions (p^) are given in the table below.
(FYI: Any GPA that is less than 2.0 was considered "defective" in the calculation of the p^ statistics for each subgroup.)
Subgroup | x | R | p^ | |||||
---|---|---|---|---|---|---|---|---|
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).
- x chart
- R chart
- p chart
Step by Step Solution
There are 3 Steps involved in it
Step: 1
Get Instant Access with AI-Powered Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started