Why do we need to perform experiments in organisations? 2. Why is statistical thinking highly…

Answer the following questions. 1. Why do we need to perform experiments in organisations? 2. Why is statistical thinking highly desirable for senior managers and leaders of organisations? 3. Explain the role of randomisation in Industrial experiments. What are the limitations of randomisation in experiments? 4. What is confounding and what is its role in the selection of a design matrix or experimental layout? 5. A manufacturing company carries out wire bonding as part of a manufacturing process. There has been an increase in wires detaching from a main part, so it has been decided to examine the process through experimentation using Design of Experiments. The purpose of the study is to increase the wire pull strength of the attached wire so appropriate factors in the process were identified through a brainstorming session. People from the quality department and production department as well as operators were involved, and it was decided to study the following factors at the 2 indicated levels. FACTORS NAME LEVEL 1 LEVEL 2 A Power 100 mW 150 mW B Temperature 140 oC 200 oC C Bonding Time 15 ms 25 ms D Bonding Force 3 g 9g The response of interest is the wire pull strength expressed in grams. Due to the limitations with production availability it was not possible to carry out tests on all combinations, so a half factorial design of experiment needs to be carried out. However, each treatment combination was carried out 4 times so there are 32 data points. The data is shown below. Run Test 1 Test 2 Test 3 Test 4 1 7.2 7.4 7.4 7.6 2 8.3 7.6 8 8.2 3 10.2 9.5 9.8 9.9 4 9.2 8.3 8.8 9 5 9.4 8.7 9 9.1 6 7.2 6.4 6.8 7 7 8.6 8.1 8.4 8.5 8 10.5 9.5 10.1 10.3 Using non-randomised run arrangements, analyse the data with a half factorial design. Examine and display the i

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