Suppose that $\overline { \mathrm { X } }$
And R charts based on subgroups of size 4 are being used to monitor the tire diameter of a new radial tire.The $\overline { \mathrm { X } }$
And R charts are found to be in statistical control,with $\overline { \overline { X } } = 50.5 , \bar { R } = 1.25$

Inches.A histogram of the tire diameter measurements indicates that these measurements are approximately normally distributed.Compute the natural tolerance limits for this process.
A)[48.68,52.32]
B)[49.89,51.11]
C)[48.86,52.14]
D)[46.75,54.25]

Question

Suppose that $\overline { \mathrm { X } }$
And R charts based on subgroups of size 4 are being used to monitor the tire diameter of a new radial tire.The $\overline { \mathrm { X } }$
And R charts are found to be in statistical control,with $\overline { \overline { X } } = 50.5 , \bar { R } = 1.25$

Inches.A histogram of the tire diameter measurements indicates that these measurements are approximately normally distributed.Compute the natural tolerance limits for this process.
A)[48.68,52.32]
B)[49.89,51.11]
C)[48.86,52.14]
D)[46.75,54.25]

Quizplus · Accepted Answer

The natural tolerance limits are given by:$$\overline { \mathrm { X } } \pm 3 \bar { R }$$$$= 50.5 \pm 3(1.25)$$$$= [48.68, 52.32]$$

Suppose That X‾\overline { \mathrm { X } }X And R Charts Based on Subgroups of Size 4 Are

Suppose That $\overline { \mathrm { X } }$ And R Charts Based on Subgroups of Size 4 Are