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In: Statistics and Probability

Human Resource Management researchers examined the impact of environment on employee development. Employees were randomly assigned...

Human Resource Management researchers examined the impact of environment on employee development. Employees were randomly assigned one of the following four workplace types/conditions: Impoverished (isolated cubicles each with bare minimum equipment - chair, desk & computer), standard (cubicles placed hear each other, equipped with a 'normal level' of office equipment - printer, shelves, manuals, stationery, etc.), enriched (standard cubicles plus regular work-related meetings), super enriched (enriched environment plus regular non-work-related social events).

Employees were also categorized by function they performed for the company (engineering, sales, manufacturing, etc.), because it's possible that functional background may have been a bigger association with test score than working condition.  

After two months, the employees were tested on a variety of work-relevant learning measures. Use the Microsoft Excel "Anova: Two-Factor Without Replication" Data Analysis tool to conduct a 2-way ANOVA test for the data in the following table:

Employee Function Working Condition
Impoverished Standard Enriched Super Enriched
Engineering 8 17 22 22
Sales 7 21 24 19
Marketing 15 10 15 21
Finance & Accounting 14 12 19 29
Purchasing 18 19 15 16
Manufacturing 12 11 14 4
  1. What are the two Questions, in context, that we want our ANOVA to answer?
  2. What are your two answers? Use the factor confidence levels obtained by way of the Excel ANOVA output table's p-values. State your answers in terms of working condition and employee function.
  3. What are your two null hypotheses in this study?
  4. What are your two corresponding alternate hypotheses? Use the phrase "at least one" in each of your hypothesis statements.

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