Chapter 3, Problem 23E

(a)

To determine

To find: the conditional distributions of plans for the white students.

Explanation of Solution

Given:

	white	minority
4 year college	198	44
2 year college	36	6
military	4	1
employment	14	3
other	16	3

Calculation:

white	4 year college	2 year college	military	employment	other	Total
	198	36	4	14	16	268
	$\begin{array}{l}\frac{198}{268}\times 100\\ =73.9\%\end{array}$	$\begin{array}{l}\frac{36}{268}\times 100\\ =13.4\%\end{array}$	$\begin{array}{l}\frac{4}{268}\times 100\%\\ =1.5\%\end{array}$	$\begin{array}{l}\frac{14}{268}\times 100\\ =5.2\%\end{array}$	$\begin{array}{l}\frac{16}{268}\times 100\\ =6\%\end{array}$	$100\%$

This is the required distribution of plans for the white students.

(b)

To determine

To find: the conditional distributions of plans for the minority students.

Explanation of Solution

Given:

	white	minority
4 year college	198	44
2 year college	36	6
military	4	1
employment	14	3
other	16	3

Calculation:

Minority	4 year college	2 year college	military	employment	other	Total
	44	6	1	3	3	57
	$\begin{array}{l}\frac{44}{57}\times 100\\ =77.2\%\end{array}$	$\begin{array}{l}\frac{6}{57}\times 100\\ =10.5\%\end{array}$	$\begin{array}{l}\frac{1}{57}\times 100\%\\ =1.8\%\end{array}$	$\begin{array}{l}\frac{3}{57}\times 100\\ =5.3\%\end{array}$	$\begin{array}{l}\frac{3}{57}\times 100\\ =5.3\%\end{array}$	$100\%$

This is the required conditional distributions of plans for the minority students

(c)

To determine

To construct: a graph comparing the plans of white and minority students.

Explanation of Solution

Given:

	white	minority
4 year college	198	44
2 year college	36	6
military	4	1
employment	14	3
other	16	3

Graph:

  

This is the required graph which is comparing the plans of white and minority students.

(d)

To determine

To Explain: the summary of the given data and concluding comparisons of conditional distribution.

Explanation of Solution

Given:

	white	minority
4 year college	198	44
2 year college	36	6
military	4	1
employment	14	3
other	16	3

By seeing the part (c), it is observed that the plans of minority and white are all about similar. Therefore there are small differences between the plans of minority and white students.