Operations Managers Often Use Work Sampling to Estimate How Much

question 119

Multiple Choice

Operations managers often use work sampling to estimate how much time workers spend on each operation. Work sampling-which involves observing workers at random points in time-was
Applied to the staff of the catalog sales department of a clothing manufacturer. The department
Applied regression to the following data collected for 40 consecutive working days:

Consider the following 2 models:

Model 1: $E ( \mathrm { y } ) = \beta _ { 0 } + \beta _ { 1 } x _ { 1 } + \beta _ { 2 } \left( \mathrm { x } _ { 1 } \right) ^ { 2 } + \beta _ { 3 } x _ { 2 } + \beta _ { 4 } x _ { 1 } x _ { 2 } + \beta _ { 5 } \left( x _ { 1 } \right) ^ { 2 } x _ { 2 }$
Model 2: $E ( \mathrm { y } ) = \beta _ { 0 } + \beta _ { 1 } x _ { 1 } + \beta _ { 3 } x _ { 2 }$
What strategy should you employ to decide which of the two models, the higher-order model or the simple linear model, is better?

• A) Compare the two models with a nested model \(F\)-test, i.e., test the null hypothesis, \(H _ { 0 } : \beta _ { 2 } =\) \(\beta _ { 4 } = \beta _ { 5 } = 0\).
• B) Always choose the more parsimonious of the two models, i.e., the model with the fewest number of \(\beta\)-coefficients.
• C) Compare \(R ^ { 2 }\) values; the model with the larger \(R ^ { 2 }\) will always be the better model.
• D) Compare the two models with a t-test, i.e., test the null hypothesis, \(H _ { 0 } : \beta _ { 1 } = 0\).

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Definitions:

News-making Criminology

A perspective in criminology that examines how media coverage influences public perception of crime and criminal justice.

Public Attitudes

The collective opinions or beliefs held by the general population about issues, policies, institutions, or public figures, influencing and reflecting societal norms and cultural values.

Structural Analyses

The examination of the structural elements or principles of a conceptual, physical, or social structure.

Good Woman Assumption

The presumption that a woman is inherently good, often used in societal contexts to justify leniency or special treatment based on gender stereotypes.