. Three professors examined awareness of four widely disseminated retirement rules among employees at University of Utah. These rules provide simple answers to questions about retirement planning. At the time of the investigation, there were approximately 10,000 benefited employees, and 3,095 participated in the study. Demographic data collected on these 3,095 employees included gender, age (years), education level (years completed), marital status, household income ($), and employment category.(30pts)(a) Describe the population of interest.(b) Describe the sample that was collected.(c) Indicate whether each of the demographic variables mentioned is categorical or numerical.

Answer:

a) The population of interest = 10,000 benefited employees.  It includes all benefited employees.

b) The sample collected = 3,095.  These are the benefited employees who participated in the study.

c) Indication of demographic variables as categorical or numerical:

Demographic data:              Categorical or Numerical    

Gender                                = Categorical

Age (years)                          = Numerical

Education level                    = Numerical

 (years completed)

Marital status                       = Categorical

Household income ($)        = Numerical

Employment Category        = Categorical

Step-by-step explanation:

a) Data and Calculations:

Population of interest = 10,000 benefited employees

Sample = 3,095 participants

Demographic data:

Gender

Age (years)

Education level (years completed)

Marital status

Household income ($)

Employment Category

b) A variable is numerical value (e.g. length, test scores, etc.).  It is a continuous variable.  A categorical variable assumes a limited or fixed number of possible values, or it is categorized in groups.

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