A Machine Manufacturer Conducted a Study to Compare the Performance

question 92

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 following ANOVA Table and determine the value of the F statistic
$$\begin{array} { | l | c | c | c | c | } \hline \text { Source } & \text { SS } & \text { d.f. } & \text { MS } & \text { F } \\\hline \text { Treatment } & 583.39 & & & \\\hline \text { Error } & & & & \\\hline \text { Total } & & 1555.57 & & \\\hline\end{array}$$

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Definitions:

Effective Rate

The actual interest rate on a loan or financial product, taking into account the compounding of interest over time, contrasting with the nominal rate.

Mixed Economy

An economic system that combines elements of both capitalism and socialism, featuring a blend of private and public ownership of means of production.

Publicly Owned

Owned by the government rather than private individuals or corporations, often referring to assets or enterprises.

Privately Owned

Refers to assets, businesses, or properties that are owned by non-governmental entities or individuals.