For a manufacturing process, $\overline { \overline X }$
= 10 inches, $\overline { \mathrm { R } }$
= )4 inches,and the subgroup sample size is 6 units.Calculate the natural tolerance limits for this process.
A)[9.526,10.474]
B)[9.510,10.490]
C)[9.484,10.516]
D)[9.807,10.193]
E)[9.769,10.231]

Question

For a manufacturing process, $\overline { \overline  X }$
= 10 inches, $\overline { \mathrm { R } }$
= )4 inches,and the subgroup sample size is 6 units.Calculate the natural tolerance limits for this process.
A)[9.526,10.474]
B)[9.510,10.490]
C)[9.484,10.516]
D)[9.807,10.193]
E)[9.769,10.231]

Quizplus · Accepted Answer

The natural tolerance limits can be calculated using the formula: 
NTL = X̄ ± 2.66*R/√n

Substituting the given values, we get:
NTL = 10 ± 2.66*4/√6

NTL = [9.526,10.474]

Therefore, the best choice is A) [9.526,10.474] as it is the correct calculation of the natural tolerance limits for the given data.

For a Manufacturing Process X‾‾\overline { \overline X }X = 10 Inches

For a Manufacturing Process $\overline { \overline X }$ = 10 Inches