. 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.

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.

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it