QUESTION 1

Your group is developing a new product, but have been struggling to get the product's stability, measured in days, to the level required. You are aiming for a stability value of 50 days or more. Four factors have been considered:

A = monomer concentration: 30% or 50%

B = acid concentration: low or high

C = catalyst level: 2% or 3%

D = temperature: 393K or 423K

(a)ListFOUR (4)reasons why DOE is required for testing the response of the selection inputs.

(8 marks)

(b)Based on the given case study design process/ system model. The model needs to be included the inputs, controllable and uncontrollable factors as well as the output.

(12 marks)

QUESTION 2

A factorial experiment was run to investigate the settings that minimize the production of an unwanted side product. The two factors being investigated are called A and B for simplicity; details of the variables are as per below:

A =reaction temperature: low level was 420 K; high level was 440 K.

B = amount of surfactant: low level was 10 kg; high level was 12 kg.

(a)Based on the given case study, determine total of trials runs for the experiment if it is should be done based on 2^kfull factorial design.

(2 marks)

(b)Based the given answer on Q2 (a), design the 2^kfull factorial design table

(8 marks)

QUESTION 3

In a study of 420,019 cell phone users, 172 of the subjects developed brain cancer. Test the claim that cell phone users developed brain cancer at a greater rate than that for non-cell phone users (the rate of brain cancer for non-cell phone users is 0.0340%). Since this is a critical issue, use a 0.005 significance level.

a)Based on the given case study above,conduct a hypothesis test on the claimed cancer rate

(6 marks)

(b)Referring to the given case study, the researcher would like to perform the experiment in fractional factorial approach. However, he/ she would like to includes the replication and randomization in designing the experiment. Determine and explain whether the researcher could conduct such experiment.

(4 marks)

(c)This experiment required to be conduct according to experimental design process. Explain in details for conducting the factorial experiment and collecting data stages

(10 marks)