In: Statistics and Probability
Mercedes tires at Tracy's plant are produced in a manufacturing process and the diameter is VERY important factor that must be controlled.
From sample sizes of 10 tires produced each day, the mean sample of this diameter have been as follows:
SAMPLES | |||||||||||
Day | #1 | #2 | #3 | #4 | #5 | #6 | #7 | #8 | #9 | #10 | Mean |
1 | 22 | 22 | 15 | 18 | 15 | 22 | 22 | 12 | 17 | 21 | 18.6 |
2 | 22 | 13 | 15 | 13 | 20 | 11 | 18 | 19 | 10 | 20 | 16.1 |
3 | 15 | 23 | 15 | 25 | 19 | 13 | 24 | 21 | 25 | 23 | 29.3 |
4 | 22 | 15 | 19 | 21 | 19 | 16 | 20 | 14 | 23 | 18 | 18.7 |
5 | 20 | 20 | 23 | 24 | 13 | 11 | 20 | 16 | 22 | 10 | 17.9 |
a) What are the UCLx, LCLx ; use the following z value = 3
b) UCLR , LCLR , use the following z value = 3