 MGT311 SEU Week 7 Operation Management in Supply Chain Paper

MGT311

Saudi electronic university

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Surname 1

Course Name:

Student’s Name:

Course Code:

Student’s ID Number:

Semester: I

CRN:

Question 1

a) (i)

Calculating mean proportion defectives,

𝑝̅ =

∑𝑥
𝑛̅

Where 𝑛̅=12 the total number of samples

𝑝̅ =

0.21
= 0.0175
12

(ii)

Calculating UCL,

UCL- which is the Upper Control Limit is calculated as
𝑝̅ 𝑞̅

𝑈𝐶𝐿 = 𝑝̅ + 3√ 𝑛̅

Where 𝑞
̅

= 1 − 𝑝̅

𝑈𝐶𝐿 = 0.0175 + 3(0.0379)
𝑈𝐶𝐿 = 0.0175 + 0.1137
𝑈𝐶𝐿 = 0.01312

Surname 2

(iii)

Calculating LCL,

LCL- which is the Lower Control Limit is calculated as
𝑝̅ 𝑞̅

𝐿𝐶𝐿 = 𝑝̅ + 3√ 𝑛̅

Where 𝑞
̅

= 1 − 𝑝̅

𝐿𝐶𝐿 = 0.0175 − 3(0.0379)
𝐿𝐶𝐿 = −0.0962

Surname 3

b) Shown below

c) From the P-chart, it’s clear that the process for making tees is not in
statistical control. Considering the UCL (0.01312), CL (0.0175) , and the
LCL(-0.0962), it’s clear after the plot that there outliers which include
(0.02), (0.03) ,and (0.04) respectively. This a clear indication that the
process is not in statistical control.

Question 2

Surname 4

a) 𝑦𝑡+1 =

𝑦𝑡 +𝑦𝑡−1 +𝑦𝑡−2 +⋯+𝑦𝑡−𝑚+1
𝑚

𝑦7 =

𝑦6 + 𝑦5 + 𝑦4 + ⋯ + 𝑦2
5

𝑦7 =

2983
= 586.8
5

b) Given weights as
W1=.5, W2=.3 and W=.2
Using the three-period weighted moving averages,
(𝑦6 × 𝑤1) + (𝑦5 × 𝑤2) + (𝑦4 × 𝑤3)
(600 × ... osltlertblake (1825)
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