QUESTION 6 [Use data from problem 1] Conduct a t test to test the hypothesis tha
ID: 3055912 • Letter: Q
Question
QUESTION 6
[Use data from problem 1] Conduct a t test to test the hypothesis that mean value of Z1 for employees and managers is the same. The observed value of the test statistic is:
18
0.31
0.05
0.76
QUESTION 7
[Use data from problem 1] Conduct a t test to test the hypothesis that mean value of Z1 for employees and managers is the same. The conclusion is:
Reject the null hypothesis
Fail to reject the null hypothesis
QUESTION 8
[Use data from problem 1] If we subtract the mean value of Y for managers from the mean value of Y for supervisors, then the answer is _____.
0.220
-2.200
2.200
1.000
QUESTION 9
[Use data from problem 1] Median value of Z2 for all individuals in the sample is _____.
158.990
158.909
156.640
156.949
QUESTION 10
[Use data from problem 1] The coefficient of variation of Y is _____ times the the coefficient of variation ofX.
10.19
1.019
0.982
101.879
QUESTION 11
[Use data from problem 1] The mean value of Z1 for all individuals designated as employees in the sample is _____.
2365.950
157.730
13.096
157.469
QUESTION 12
[Use data from problem 1] Assume that a new (26th) value of X becomes available. As a result the arithmetic mean of all 26 X values decreases to 5. The new X value must be _____.
5
10
5.2
0
QUESTION 13
[Use data from problem 1] Construct a new variable J such that J = 1 + 2*X. Mean and standard deviation of J are _____ and _____ respectively.
7.200, 2.784
11.400, 5.568
5.568, 11.400
2.784, 7.200
QUESTION 14
115.204
3731.015
151.204
None of the above
Person ID X Y Z1 Z2 Group 1 9 10 157.90 163.90 Manager 2 3 6 156.64 148.64 Manager 3 2 7 160.45 155.45 Manager 4 8 8 153.13 160.13 Manager 5 2 7 170.14 168.14 Manager 6 8 4 150.09 149.09 Supervisor 7 10 5 163.74 161.74 Supervisor 8 4 3 134.47 142.47 Supervisor 9 1 6 174.17 177.17 Supervisor 10 6 9 150.05 151.05 Supervisor 11 5 10 141.47 148.47 Employee 12 3 5 156.59 148.59 Employee 13 5 4 161.88 162.88 Employee 14 4 3 150.99 158.99 Employee 15 8 1 174.95 174.95 Employee 16 5 1 166.90 165.90 Employee 17 8 10 128.43 124.43 Employee 18 1 7 169.11 168.11 Employee 19 1 2 153.73 150.73 Employee 20 5 4 151.45 146.45 Employee 21 3 2 172.85 164.85 Employee 22 8 5 146.05 137.05 Employee 23 9 8 171.48 178.48 Employee 24 7 4 153.55 151.55 Employee 25 5 1 166.52 164.52 Employee Arithmetic mean 5.200 5.280 157.469 156.949Explanation / Answer
Result: ( multiple questions Q6 to Q13 answered)
Two-Sample T-Test and CI: Z1, Group
Method
: mean of Z1 when Group = Employee
µ: mean of Z1 when Group = Manager
Difference: - µ
Equal variances are assumed for this analysis.
Descriptive Statistics: Z1
Group
N
Mean
StDev
SE Mean
Employee
15
157.7
13.1
3.4
Manager
5
159.65
6.43
2.9
Estimation for Difference
Difference
Pooled
StDev
95% CI for
Difference
-1.92
11.94
(-14.88, 11.03)
Test
Null hypothesis
H: - µ = 0
Alternative hypothesis
H: - µ 0
T-Value
DF
P-Value
-0.31
18
0.759
QUESTION 6
[Use data from problem 1] Conduct a t test to test the hypothesis that mean value of Z1 for employees and managers is the same. The observed value of the test statistic is:
a)
18
Answer: b)
0.31
c)
0.05
d)
0.76
QUESTION 7
[Use data from problem 1] Conduct a t test to test the hypothesis that mean value of Z1 for employees and managers is the same. The conclusion is:
a)
Reject the null hypothesis
Answer: b)
Fail to reject the null hypothesis
QUESTION 8
Means y
Group
N
Mean
StDev
95% CI
Employee
15
4.467
3.067
(3.013, 5.920)
Manager
5
7.600
1.517
(5.082, 10.118)
Supervisor
5
5.40
2.30
(2.88, 7.92)
Pooled StDev = 2.71472
[Use data from problem 1] If we subtract the mean value of Y for managers from the mean value of Y for supervisors, then the answer is _____.
a)
0.220
b)
-2.200
Answer: c)
2.200
d)
1.000
QUESTION 9
Descriptive Statistics: Z2
Statistics
Variable
Mean
StDev
Minimum
Q1
Median
Q3
Maximum
Z2
156.95
12.78
124.43
148.62
158.99
165.38
178.48
[Use data from problem 1] Median value of Z2 for all individuals in the sample is _____.
Answer:
a)
158.990
b)
158.909
c)
156.640
d)
156.949
QUESTION 10
Descriptive Statistics: X, Y
Statistics
Variable
CoefVar
Minimum
Maximum
X
53.54
1.000
10.000
Y
54.54
1.000
10.000
[Use data from problem 1] The coefficient of variation of Y is _____ times the the coefficient of variation ofX.
a)
10.19
Answer: b)
1.019
c)
0.982
d)
101.879
QUESTION 11
Descriptive Statistics: Z1
Statistics
Variable
Total
Count
Mean
StDev
Minimum
Maximum
Z1
25
157.469
12.16
128.43
174.95
[Use data from problem 1] The mean value of Z1 for all individuals designated as employees in the sample is _____.
a)
2365.950
b)
157.730
c)
13.096
Answer: d)
157.469
QUESTION 12
[Use data from problem 1] Assume that a new (26th) value of X becomes available. As a result the arithmetic mean of all 26 X values decreases to 5. The new X value must be _____.
a)
5
b)
10
c)
5.2
Answer: d)
0
QUESTION 13
Mean = 1+2*5.2=11.4
Sd= 2*2.784=5.568
[Use data from problem 1] Construct a new variable J such that J = 1 + 2*X. Mean and standard deviation of J are _____ and _____ respectively.
a)
7.200, 2.784
Answer: b)
11.400, 5.568
c)
5.568, 11.400
d)
2.784, 7.200
: mean of Z1 when Group = Employee
µ: mean of Z1 when Group = Manager
Difference: - µ
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