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The table below shows the productivity scores of 12 employees in a company. The researcher wants to know if the scores vary according to age

The table below shows the productivity scores of 12 employees in a company. The researcher wants to know if the scores vary according to age group (Group 1: 21-30 years, Group 2: 31-40 years, and Group 3: 31-40 years) and gender.

Productivity ScoresAge GroupGender
75Group 1Male
69Group 1Male
81Group 1Female
72Group 1Female
88Group 2Male
92Group 2Male
68Group 2Female
77Group 2Female
56Group 3Male
83Group 3Male
76Group 3Female
65Group 3Female

Tasks:

  • Defend the type of ANOVA you will apply to respond to the researcher’s question.
  • Create suitable null and alternative hypotheses.
  • Perform the analysis using Minitab. Copy and paste the results to your response document.
  • Justify your conclusions on the difference in average productivity scores between age groups, between males and females and the interaction effect between age group and gender.

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