In: Statistics and Probability
Exercise 19-22 (LO19-4, LO19-6)
A new machine has just been installed to cut and rough-shape large slugs. The slugs are then transferred to a precision grinder. One of the critical measurements is the outside diameter. The quality control inspector randomly selected five slugs each half-hour, measured the outside diameter, and recorded the results. The measurements (in millimeters) for the period 8:00 a.m. to 10:30 a.m. follow.
Outside Diameter (millimeters) | ||||||||||||||||
Time | 1 | 2 | 3 | 4 | 5 | |||||||||||
8:00 | 87.3 | 87.3 | 88.1 | 87.0 | 87.0 | |||||||||||
8:30 | 86.9 | 88.5 | 87.6 | 87.5 | 87.4 | |||||||||||
9:00 | 87.9 | 88.4 | 86.9 | 87.6 | 88.2 | |||||||||||
9:30 | 86.0 | 88.0 | 87.2 | 87.6 | 87.1 | |||||||||||
10:00 | 86.9 | 87.0 | 87.2 | 87.3 | 86.9 | |||||||||||
10:30 | 88.2 | 86.4 | 87.3 | 87.1 | 87.6 | |||||||||||
Determine the control limits for the mean and the range.(Leave no cells blank - be certain to enter "0" wherever required. Round your answers to 2 decimal places.)
Mean of sample means = | LCL = | UCL = | |||
Mean of sample ranges = | LCL = | UCL = |
Exercise 19-16 (LO19-7)
Determine the probability of accepting lots that are 10%, 20%, 30%, and 40% defective using a sample of size 14 and an acceptance number of 3. (Round your answers to 3 decimal places.)
Percent Defective | Probability of accepting lot |
10 | |
20 | |
30 | |
40 |