Homework SourseA random sample of 25 students was surveyed and their inform
A random sample of 25 students was surveyed and their information is listed below:
Student
Sex
Best Friends
Class
Trust
A
Female
2
Sophomore
Need to be very careful
B
Female
4
Freshman
Need to be very careful
C
Female
1
Freshman
Need to be very careful
D
Female
3
Freshman
Need to be very careful
E
Female
3
Senior
Need to be very careful
F
Female
3
Junior
Need to be very careful
G
Female
2
Senior
Need to be very careful
H
Male
3
Junior
Need to be very careful
I
Male
9
Sophomore
Need to be very careful
J
Male
3
Senior
Need to be very careful
K
Male
3
Freshman
Need to be very careful
L
Male
5
Freshman
Need to be very careful
M
Male
3
Freshman
Need to be very careful
N
Male
6
Senior
Need to be very careful
O
Female
0
Sophomore
Most people can be trusted
P
Female
1
Junior
Most people can be trusted
Q
Female
2
Junior
Most people can be trusted
R
Female
1
Junior
Most people can be trusted
S
Female
4
Freshman
Most people can be trusted
T
Female
2
Freshman
Most people can be trusted
U
Male
3
Graduate Student
Most people can be trusted
V
Male
2
Graduate Student
Most people can be trusted
W
Male
1
Junior
Most people can be trusted
X
Male
7
Senior
Most people can be trusted
Y
Male
3
Sophomore
Most people can be trusted
a. Split the sample into two new samples (Males and Females) and calculate standard deviations for Best Friends for the new samples. Write a sentence comparing the standard deviations for male and female students.
Females
Best Friends
A
2
B
4
C
1
D
3
E
3
F
3
G
2
O
3
P
2
Q
1
R
7
S
3
T
3
?
Males
Best Friends
H
3
I
9
J
3
K
3
L
5
M
3
N
6
U
1
V
2
W
1
X
4
Y
2
?
b. Using the 5-step model of hypothesis testing, conduct a Chi Square test of significance to determine if a relationship between Class and Trust exists (NOTE: ? = 0.05).
Class
Trust
Freshman
Sophomore
Junior
Senior
Grad.Student
Total
Need to be careful
6
2
2
4
0
14
Most people can be trusted
2
2
4
1
2
11
Total
8
4
6
5
2
25
c. Using your Chi Square value from part b, compute Cramer’s V and discuss the strength of the association between Class and Trust in a few sentences.
d. Calculate Lambda for Class and Trust and discuss the predicting power of Class on Trust in a sentence or two.
| Student | Sex | Best Friends | Class | Trust |
| A | Female | 2 | Sophomore | Need to be very careful |
| B | Female | 4 | Freshman | Need to be very careful |
| C | Female | 1 | Freshman | Need to be very careful |
| D | Female | 3 | Freshman | Need to be very careful |
| E | Female | 3 | Senior | Need to be very careful |
| F | Female | 3 | Junior | Need to be very careful |
| G | Female | 2 | Senior | Need to be very careful |
| H | Male | 3 | Junior | Need to be very careful |
| I | Male | 9 | Sophomore | Need to be very careful |
| J | Male | 3 | Senior | Need to be very careful |
| K | Male | 3 | Freshman | Need to be very careful |
| L | Male | 5 | Freshman | Need to be very careful |
| M | Male | 3 | Freshman | Need to be very careful |
| N | Male | 6 | Senior | Need to be very careful |
| O | Female | 0 | Sophomore | Most people can be trusted |
| P | Female | 1 | Junior | Most people can be trusted |
| Q | Female | 2 | Junior | Most people can be trusted |
| R | Female | 1 | Junior | Most people can be trusted |
| S | Female | 4 | Freshman | Most people can be trusted |
| T | Female | 2 | Freshman | Most people can be trusted |
| U | Male | 3 | Graduate Student | Most people can be trusted |
| V | Male | 2 | Graduate Student | Most people can be trusted |
| W | Male | 1 | Junior | Most people can be trusted |
| X | Male | 7 | Senior | Most people can be trusted |
| Y | Male | 3 | Sophomore | Most people can be trusted |
Solution
