PROBLEM SOLVING: Solve each of the following comprehensively. (You may use megastat)

1. Is sex independent of educational attainment? A random sample of 395 people were surveyed and each person was asked to report the highest education level they obtained. The data that resulted from the survey is summarized in the following table.

Sex	High School	Bachelors	Master's	Ph.D
Female	60	54	46	41
Male	40	44	53	57
Total

2 . The pretest and posttest scores of 15 students are shown below. Can we say with 95 % confidence that the intervention strategy used significantly increased the scores.

Pretest Posttest

6 12

7 19

14 13

12 19

10 16

5 19

10 10

9 18

1. 9

3. The group of males and females are tested on their level of faithfulness and the result is shown below. Test if the females are as faithful as the males.

Females 6 7 10 8 4 5 6 9 10

Males 3 5 7 2 6 4 2 5 6

4. Given the test scores of the three groups of students, test if the scores differ significantly

A 10 9 8 7 12 10 11 12 9 8

B 4 6 4 8 6 4 5 7 10 11

C 5 2 8 7 10 2 1 4 3 4

5. The following table shows the final grades of 11 students in Basic Math and Algebra. Find the coefficient of correlation, determination and alienation and determine if the relationship is significant.

Basic Math(x)82 78 86 72 91 80 95 72 84 74 83

Algebra (y) 75 80 93 65 87 71 98 68 84 77 83

6. Given the data in the preceding problem, solve for the regression equation,

standard error of estimate, graph the regression line, and predict the algebra grade when the basic math grade is 88.