Answer:
Kindly check explanation
Explanation:
Given the data:
Population standard deviation (σ) = 1.36
Sample size (n) = 5
A.)Standard deviation of sampling mean (σx) = (σ/√n)
(1.36/√5)
1.36 / 2.236
= 0.608
B.) With z = 3, the control limits for the mean
chart :
Control limit = m ± zσx
Using calculator ; mean (m) of the data = 10.40
Lower control limit : 10.4 - 3(0.608) = 8.576
Upper Control limit : 10.4 + 3(0.608) = 12.224
The control limit for the range :
Average value of range(R) in the sample = 3.6
Lower Control limit : R*D3
Upper control limit: R*D4
From the range chart table :
D3 = 0 ; D4 = 2.114
Lower Control limit : R*D3 = 3.6(0) = 0
Upper control limit: R*D4 = 3.6(2.114) = 7.61