Question

homework section 2.3 homework part 2 of 4 the table gives the life expectancy of two groups in a certain country at the beginning of each decade since 1970. answer parts a through d. year 1970 1980 1990 2000 2010 group a male 59.0 62.8 64.4 67.9 70.9 female 68.6 71.7 73.7 75.3 78.0 group b male 68.0 69.7 71.9 74.8 75.5 female 75.3 78.6 79.5 79.8 81.7 (a) write a matrix for the life expectancy of group a. be sure to order the rows and columns the same way they are ordered in the table. (type an integer or decimal for each matrix element.) (b) write a matrix for the life expectancy of group b. be sure to order the rows and columns the same way they are ordered in the table. (type an integer or decimal for each matrix element.)

Explanation:

Step1: Identify data for Group A

For Group A, we have life - expectancy values for males and females across different years. Arranging them in a matrix with rows for gender (male first, then female) and columns for years (1970 - 2010). The values for males are 59.0, 62.8, 64.4, 67.9, 70.9 and for females are 68.6, 71.7, 73.7, 75.3, 78.0.
The matrix for Group A is

$$\begin{bmatrix}59.0&62.8&64.4&67.9&70.9\\68.6&71.7&73.7&75.3&78.0\end{bmatrix}$$

Step2: Identify data for Group B

For Group B, the male values are 68.0, 69.7, 71.9, 74.8, 75.5 and female values are 75.3, 78.6, 79.5, 79.8, 81.7.
The matrix for Group B is

$$\begin{bmatrix}68.0&69.7&71.9&74.8&75.5\\75.3&78.6&79.5&79.8&81.7\end{bmatrix}$$

Answer:

(a)

$$\begin{bmatrix}59.0&62.8&64.4&67.9&70.9\\68.6&71.7&73.7&75.3&78.0\end{bmatrix}$$

(b)

$$\begin{bmatrix}68.0&69.7&71.9&74.8&75.5\\75.3&78.6&79.5&79.8&81.7\end{bmatrix}$$