Human resource group of your company you are asked to summarize the educational

Question

Human resource group of your company you are asked to summarize the educational levels of the 512 employees in your division. From company records, you find that 164 have no college degree (None), 42 have an associate’s degree (AA), 225 have a bachelor’s degree (BA), 52 have a master’s degree (MA), and 29 have PhDs. For the educational level of your division

. From Exercise 1, we also have data on how long each person has been with the company (tenure) categorized into three levels: less than 1 year, between 1 and 5 years, and more than 5 years. A table of the two variables together looks like:

<1 Year<1 Year

Find the marginal distribution of the tenure. (Hint: Find the row totals.)

Verify that the marginal distribution of the education level is the same as that given in Exercise 1.

None AA BA MA PhD

<1 Year<1 Year

10 3 50 20 12 1–5 Years 42 9 112 27 15 More Than 5 Years 112 30 63 5 2

Explanation / Answer

Here we just need to compute the row totals and the columns totals as:

The marginal distribution of the tenure is given in the last column above.

Also from the last row we can easily verify that t 164 have no college degree (None), 42 have an associate’s degree (AA), 225 have a bachelor’s degree (BA), 52 have a master’s degree (MA), and 29 have PhDs.

Hence verified.

None AA BA MA PHD Total <1 year 10 3 50 20 12 95 1 - 5 years 42 9 112 27 15 205 > 5 years 112 30 63 5 2 212 Total 164 42 225 52 29

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