Statistics Final Exam

  1. The following data included the number of hours per week a group of high school seniors spend on the computer working on homework. The data is differentiated between boys and girls. Using the independent t-test, is there a significant difference in the number of hours spent on the computer for homework between boys and girls?

Hours per week on computer:

Boys                      Girls

10                           12

14                           9

10                           14

12                           12

8                              6

9                              10

7                              11

12                           9

  1. A 20 POINT math exam was administrated to a class one week before spring break, following a semester of study, and again, one week after returning from spring break. The instructor was interested in finding out if absence from school had a negative impact on retention. Using a related t – test is there a significant difference in the test pre and post spring break?

Pre test score                            Post test scores

18                                                   18

11                                                   10

17                                                   15

20                                                   19

15                                                   12

18                                   18

17                                   18

14                                   14

12                                   13

16                                   17

  1. Given the following value for x (speed) and y (miles per gallon) , determine if there is a linear relationship between speed and miles per gallon. Use Pearson Product Moment Correlation Coefficient.

 

Speed                   miles per gallon

X                             y

22                           31

12                           17

17                           19

14                           13

19                           26

41                           51

32                           42

16                           15

9                              16

 

  1. Given the following values for x (hours TV viewing) and y(hours studying) determine if there is linear relationship between TV viewing and studying. Use the Spearman Rho Correlation Coefficient.

TV Viewing                 Studying

X                             y

22                           31

12                           17

9                              19

14                           13

19                           19

12                           31

32                           42

16                           15

9                              16