A Machine Manufacturer Conducted a Study to Compare the Performance

question 85

Essay

A machine manufacturer conducted a study to compare the performance of two types of similar machines A and B in terms of the hardness of the product manufactured.According to the production supervisor,the machine setting (high,medium,low)also affects the hardness of the product.The hardness readings (response variable)are given in a two-factor factorial design format with two observations per cell. $\begin{array}{cc}&\text { Machine type }\\\text { Machine Setting }&\text { A } & \text { B } \\\text { Low }&8 & 4 \\&8 & 4 \\\\\text { Medium }&7 & 5 \\&6 & 2 \\\\\text { High }&9 & 4 \\&10 & 5\end{array}$ You are also given the following additional information:
SS (machine type)= 48,SS (machine setting)= 8,SST = 64
-Complete the analysis of variance table and test to determine whether the means for factor A differ at a = .10.Interpret the results.

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Definitions:

Own Strength

Referring to an individual's inherent physical or mental power and capacity for effort or endurance.

Articular Ends

The end parts of bones that come into contact with each other in a joint, often covered with cartilage to allow for smooth movement.

Synovial Fluid

A viscous, non-Newtonian fluid found in the cavities of synovial joints, facilitating smooth movement and reducing friction between articular cartilages.

Noninflammatory

Referring to conditions or processes that do not involve inflammation or the typical signs of inflammation (such as redness, swelling, heat, and pain).