chapter9problems

# chapter9problems - Chapter 9 Now have two categorical...

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Chapter 9 Now have two categorical variables to deal with where in previous chapters we only had one . The data is put into a two-way table because it accounts for all combinations of outcomes for the 2 variables. Example: The National Center for Education Statistics collects data on undergraduate students enrolled in U.S. colleges and universities. The following table gives counts of undergraduate enrollment in 4 different classifications: Undergraduate college enrollments (thousands of students) Program 2-year full-time 2-year part-time 4-year full-time 4-year part-time Total Age Under 18 36 98 75 37 246 18 to 21 1126 711 3270 223 5330 22 to 34 634 1575 2267 1380 5856 35 and over 221 1092 390 915 2618 Total 2017 3476 6002 2555 Each combination of values for the 2 variables is called a cell . Age is the row variable because each horizontal row represents a different age range. Program is the column variable because each vertical column represents a different college program. How many undergraduate students total were enrolled in colleges and universities? - 1 -

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Joint and Marginal Distributions (in %s) : Age 2-year full-time 2-year part-time 4-year full-time 4-year part-time Marginal for Age Under 18 0.26 0.70 0.53 0.26 1.75 18 to 21 8.0 5.1 1.6 22 to 34 4.5 11.2 16.1 9.8 41.6 35 and over 1.6 7.8 2.8 18.7 Marginal for Program 14.4 24.7 18.2 100 Joint Distribution The percentages in the middle of the table (shaded areas) are the joint probabilities.
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