定制写作代写服务成功案例
<p>
<span style="color:rgba(0, 0, 0, 0.85);font-family:"font-size:18px;background-color:#F5F5F5;">2012年-2022年十年品牌服务，砥砺前行，精准有效服务广大客户</span>
</p>
SEEM3500: Quality Control and Management
Assignment 4
项目类别：管理
Assignment 4
Instructions
This piece of assignment will count for 5 percent of the overall mark for
SEEM3500. There are 6 questions with a total of 100 marks. Do all of the
questions.
Completed work should be submitted to the course website at Blackboard by
7:00 pm on Wednesday 27 November 2024.
The deadline is strict. Work handed in late will not be accepted. All of the
assignment must be carried out and written up independently. You are reminded
of the University policy on plagiarism:
ht tp : // ww w. cu hk .e du .h k/ po li cy /a ca de mi ch on es ty /E ng h tm f
il es ( 20 13 -1 4) / in de x p ag e2 .h tm
Every assignment must be accompanied by a SIGNED DECLARATION of orig-
inality (see Section 10 from the website above), assignments without such a
declaration will NOT be marked.
1. (20 marks) A cat food company is interested in exploring ways to expand its market share by
offering new products. An experiment is conducted that compares two new food products, one
with salmon and one with chicken liver, along with two existing products, one with kidney and
one with shrimp. In addition, a supermarket brand of a beef-based product is included in the
study. A local animal shelter agrees to participate in the study. A random sample of 50 cats
from the population at the shelter is selected. Ten cats are randomly assigned to each of the
five products tested. Each of the cats is presented with 3 ounces of the selected food in a dish
at feeding time. The response variable of interest is operationally defined as the amount of food
eaten during a 10-minute period that begins when the filled dish is presented to the cat (see the
CATFOOD file below, minitab file is supplied for this data).
1
Ounces Eaten for Five Cat-Food Products
Kidney Shrimp Chicken Liver Salmon Beef
2.37 2.26 2.29 1.79 2.09
2.62 2.69 2.23 2.33 1.87
2.31 2.25 2.41 1.96 1.67
2.47 2.45 2.68 2.05 1.64
2.59 2.34 2.25 2.26 2.16
2.62 2.37 2.17 2.24 1.75
2.34 2.22 2.37 1.96 1.18
2.47 2.56 2.26 1.58 1.92
2.45 2.36 2.45 2.18 1.32
2.32 2.59 2.57 1.93 1.94
(a) (5 marks) Obtain a box-and-whisker plot for the five cat foods and explain the results.
(b) (5 marks) Obtain a numerical descriptive analysis of the data. Explain the SE mean values.
(c) (10 marks) Obtain ANOVA of the data, explain how DF, SS, MS, F values are obtained
and what the p-value mean.
2. (15 marks) Integrated circuits are manufactured on silicon wafers through a process that involves
a series of steps. An experiment is carried out to study the effect of the cleansing and etching
steps on the yield (coded to maintain confidentiality). The results are as follows (See YIELD2
file below):
Etching Step Etching Step
Cleansing Step New Standard Cleansing Step New Standard
New 38 34 standard 31 29
34 19 23 32
38 28 38 30
(a) (6 marks) Determine the effects for factor A, factor B, and the interaction of A and B.
(b) (3 marks) Obtain a main effects plot for factors A and B.
(c) (3 marks) Obtain an interaction plot.
(d) (3 marks) On the basis of the results of parts (a)-(c), what conclusions can you reach
concerning the importance of factor A, factor B, and the interaction of A and B on etching
step?
3. (17 marks) It is widely believed, among one-tenth-scale electric remote-control model car racing
enthusiasts, that spending more money on high-quality batteries, using gold-plated connectors,
and storing batteries at low temperatures will improve battery-life performance. An experiment
is conducted that uses these three factors to determine the battery life as measured by the time
to discharge (in minutes). The results are as follows:
2
Battery Connector Design Temperature Time
Low Standard Ambient 93
High Standard Ambient 489
Low Gold-plated Ambient 94
High Gold-plated Ambient 493
Low Standard Cold 72
High Standard Cold 612
Low Gold-plated Cold 75
High Gold-plated Cold 490
(a) (6 marks) Compute the average effect for each main effect (factor) and interaction.
(b) (3 marks) Obtain a plot of the main effects.
(c) (3 marks) Obtain a plot of the interactions.
(d) (5 marks) Calculate interaction effect of Battery and Connector Design by reducing the
three factor design to two factor design.
4. (18 marks) Consider a single sampling plan with a lot size of 1500, sample size of 150, and
acceptance number of 3.
(a) (10 marks) Calculate the values of OC(1/3), OC(1/2) and OC(2/3) in OC curve.
(b) (8 marks) If the acceptable quality level is 0.06% and the lot tolerance percent defective is
7%, calculate type I and Type II risks.
5. (15 marks) A manufacturer of aircraft engines uses a sequential sampling plan to accept or reject
incoming lots of microprocessors used in the engines. Assume an AQL of 1 percent and an LTPD
(lot tolerance percent defective) of 5 percent. Determine a sequential sampling plan assuming
α = 0.05, β = 0.06
(a) (8 marks) Graph the acceptance and rejection regions.
(b) (7 marks) Suppose that a lot of 1,000 microprocessors is inspected. Suppose that the 31st,
89th, 120th, 122nd, and 123rd chips tested are found defective. Assuming the sequential
sampling plan is carried out for the problem, will the lot be accepted, rejected, or neither
by the time the 123rd chip has been tested?
6. (15 marks) MRC is an engine company that builds the engines for GCF cars. GCF is using a
control policy of inspection 9% of incoming lots and rejects lots with a fraction defect greater
than 5%.
(a) (10 marks) Use binomial formula to find the probability of accepting the following lots: a
lot size of 300 of which 5 are defective.
(b) (5 marks) Suppose all discovered defective items are replaced with good ones. Compute
the Average Outgoing Quality (AOQ).
