In: Statistics and Probability
According to the game data, what is the mean score for the Goodyear Silents?
SILENTS |
OPPONENTS |
7 |
7 |
0 |
3 |
6 |
0 |
9 |
0 |
15 |
0 |
6 |
13 |
14 |
0 |
0 |
0 |
9 |
10 |
0 |
0 |
0 |
6 |
A. |
6 |
|
B. |
5.54 |
|
C. |
5.29 |
|
D. |
11 |
|
E. |
3.24 |
10 points
QUESTION 2
What is the mean score of the Goodyear Silents' Opponents?
SILENTS |
OPPONENTS |
7 |
7 |
0 |
3 |
6 |
0 |
9 |
0 |
15 |
0 |
6 |
13 |
14 |
0 |
0 |
0 |
9 |
10 |
0 |
0 |
0 |
6 |
A. |
6 |
|
B. |
3.54 |
|
C. |
4.74 |
|
D. |
4.51 |
|
E. |
11 |
10 points
QUESTION 3
Looking at the mean score for the Goodyear Silents and their opponents would you expect them to be an above football team or below average football team? Why?
A. |
The Silents have a lower average score so they are the better team |
|
B. |
The opponents have a higher average score so they are the better team |
|
C. |
The Silents have a higher average score so they are the better team |
|
D. |
The opponents have a lower average score so they are the better team |
10 points
QUESTION 4
The sample standard deviation for the Goodyear Silents' score is 5.55. You would expect the Silents to score within what range 68% of the time?
A. |
between 0 and 11.55 |
|
B. |
between 0 and 17.05 |
|
C. |
between -5.1 and 17.05 |
|
D. |
between .45 and 11.55 |
10 points
QUESTION 5
The sample standard deviation for the Goodyear Silents' score is
5.55.
The sample standard deviation for the Goodyear Silents' opponents
is 4.74.
The z-score for a score of 10 points for Goodyear Silents is []
The z-score for a score of 10 points for the Opponents is []
(round to three decimal places)
10 points
QUESTION 6
Using the z-scores you found, who is more likely to score 10 points in a game the Goodyear Silents' or their opponents and why?
A. |
The Goodyear Silents would have a z-score furtherest from the mean so they are most likely |
|
B. |
Their opponents have a z-score furtherest from the mean so they are most likely |
|
C. |
The Goodyear Silents would have a z-score closest to the mean so they are most likely |
|
D. |
Their opponents have a z-score closest to the mean so they are most likely |
10 points
QUESTION 7
The sample standard deviation for the Goodyear Silents' score is
5.55.
The sample standard deviation for the Goodyear Silents' opponents
is 4.74.
The z-score for The Silents scoring 20 points is [].
The z-score for the opponents being shut out (scoring 0) is [].
(round to two decimal places)
10 points
QUESTION 8
Using your z-score, what would be more unusual and why: The Goodyear Silents scoring 20 or their opponents being shutout (scoring 0) ?
It would be more unusual for the Goodyear Silents to score 20 because the z-score of this event is furthest from the mean |
||
It would be more unusual for the opponent to be shutout because the z-score of this event is closest to the mean |
||
It would be more unusual for the Goodyear Silents to score 20 because the z-score of this event is closest to the mean |
||
It would be more unusual for the opponent to be shutout because the z-score of this event is furthest from the mean |