Gender
Age
1
2
1
1
1
2
2
1
1
2
2
2
2
2
1
1
1
2
2
1
1
1
2
1
2
2
1
2
2
2
1
2
1
1
1
1
2
2
1
2
1
1
2
2
2
2
Supervisor
29
32
39
25
27
33
36
28
34
32
31
38
27
29
26
39
40
37
37
29
29
30
36
30
30
35
27
31
38
38
34
28
29
32
35
35
37
29
40
27
27
34
34
25
25
29
Telecommute
1
4
1
2
1
3
3
3
3
2
1
1
3
4
4
4
1
2
3
3
3
2
3
3
2
4
3
2
1
3
2
3
2
4
2
3
2
3
4
4
2
1
1
2
1
2
Coworkers
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
2
1
1
1
1
1
2
2
2
1
1
1
1
1
1
1
2
2
1
1
Happiness
2
3
1
2
1
2
2
3
3
2
1
1
2
2
2
3
1
1
2
2
2
1
3
2
2
2
3
3
2
2
1
2
2
2
3
2
2
2
2
1
1
2
1
2
1
2
Engagement
7
9
4
5
5
7
8
9
8
6
7
6
7
8
8
9
6
7
9
7
9
6
9
7
8
8
9
8
6
8
5
9
7
8
9
7
8
8
9
8
4
8
7
9
5
8
8
10
5
8
4
8
7
8
8
8
5
8
9
9
8
8
8
9
7
8
7
7
9
7
7
8
9
8
8
8
6
9
8
8
9
7
9
8
8
7
6
7
5
8
6
8
1
1
2
2
30
30
35
34
3
3
2
4
1
1
2
1
2
2
1
3
9
7
6
9
9
8
6
9
Overall Rating
15
19
8
13
9
15
15
17
16
14
12
14
16
17
16
17
14
16
16
15
16
13
18
14
15
16
18
16
14
16
11
18
15
16
18
14
17
16
17
15
10
15
12
17
11
16
18
15
12
18
Variable
Gender
Age
Relationship With Direct Supervisor
Telecommute Schedule
Relationship With Coworkers
Workplace Happiness Rating
Workplace Engagement Rating
Overall Combined Rating
Description of Values
1= Male, 2=Female
Chronological Age (in years)
1 = negative relationship, 2 = neutral relationship, 3 = positive relationship, 4 = great relationship
1= no ability to telecommute, 2 = able to telecommute at least 2 days per week
1 = negative relationship, 2 = no relationship, 3 = positive relationship
Scale 0-10, 0 = no happiness, 10 = completely happy
Scale 0-10, 1 = no engagement, 10 = highly engaged
Scale 0-20, 0 = not happy and not engaged, 20 = completely happy and highly engaged
1
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Wk 2 Individual: Statistics Project, Part 1:
Imagine you have been asked to enhance workplace happiness and engagement at your company. You
have conducted a survey and gathered data on the gender, age, relationship with direct supervisor,
telecommute schedule, relationship with coworkers, along with the ratings for workplace happiness and
workplace engagement for 50 individuals in your department. You must determine what variables affect
workplace happiness and engagement. The first step is to run descriptive statistics on each variable to
learn more about the data you have collected.
Calculate descriptive statistics for the following variables in the provided Microsoft® Excel® dataset:
•
•
•
•
•
•
•
Gender
o Male:24, Female:26
Age
o Mean:32.02
Median:31
Relationship with Direct Supervisor
o Mean:2.5
Median:3
Telecommute Schedule
o Mean:1.18
Median:1
Relationship with Coworkers
o Mean:1.92
Median:2
Workplace Happiness Rating
o Mean:7.4
Median:8
Workplace Engagement Rating
o Mean:7.64
Median:7
Mode:29
Mode:3
Mode:1
Mode:2
Mode:8
Mode:8
Write a 125- to 175-word summary of your interpretation of the descriptive results for each variable.
Copy and paste the Microsoft® Excel® output below your summary.
Per the data given it showed that the 50 individuals 24 were males and 25 were females ranging from
the age of 25 to 40. The average age was estimated to be 32.02, while the median was 31, and most of
the participants were age 29. When asked about relationship with supervisor they were told that 1 =
negative relationship, 2 = neutral relationship, 3 = positive relationship, 4 = great relationship. The mean
of this data was 2.5, the median was 3 as was the mode. The telecommute portion was 1= no ability to
telecommute, 2 = able to telecommute at least 2 days per week; the mean of these results were 1.18,
the median was a 1 and the mode remained a 1 as well. In the relationship with coworkers the mean
was 1.92, the median was 2 and the mode was also 2; 1 = negative relationship, 2 = no relationship, 3 =
positive relationship. Workplace Happiness Rating Scale 0-10, 10 = completely happy, its mean was a
7.4, median and mode an 8. Workplace Engagement Rating Scale 0-10, 10 = highly engaged, its mean
was a 7.64, the median a 7 and its mode an 8.
Variable
Gender
Age
Relationship With Direct
Supervisor
Description of Values
1= Male, 2=Female
Chronological Age (in years)
1 = negative relationship, 2 = neutral relationship, 3 = positive
relationship, 4 = great relationship
Telecommute Schedule
Relationship With
Coworkers
Workplace Happiness
Rating
Workplace Engagement
Rating
Overall Combined Rating
1= no ability to telecommute, 2 = able to telecommute at least 2 days
per week
1 = negative relationship, 2 = no relationship, 3 = positive relationship
Scale 0-10, 0 = no happiness, 10 = completely happy
Scale 0-10, 1 = no engagement, 10 = highly engaged
Scale 0-20, 0 = not happy and not engaged, 20 = completely happy and
highly engaged
Gender
Age
Supervisor
Telecommute
Coworkers
Happiness
1
2
2
1
1
1
1
2
2
1
2
1
1
1
1
2
2
2
1
1
1
1
2
2
2
1
2
2
2
25
25
25
26
27
27
27
27
27
28
28
29
29
29
29
29
29
29
30
30
30
30
30
31
31
32
32
32
33
2
1
2
4
1
2
3
4
3
3
3
3
1
2
3
2
3
4
2
3
3
3
2
1
2
4
2
4
3
1
1
2
1
1
1
2
1
1
1
1
1
1
2
2
1
1
1
1
1
1
1
1
1
1
2
1
1
1
2
1
2
2
1
1
3
1
2
3
2
2
2
2
2
2
2
2
1
2
2
2
2
1
3
2
2
3
2
5
5
9
8
5
4
9
8
7
9
9
9
7
7
7
8
8
8
6
7
7
9
8
7
8
8
6
9
7
Engagement Overall
Rating
8
13
6
11
8
17
8
16
4
9
6
10
9
18
7
15
9
16
8
17
9
18
7
16
8
15
8
15
8
15
8
16
8
16
9
17
7
13
7
14
8
15
9
18
7
15
5
12
8
16
8
16
8
14
10
19
8
15
1
1
1
2
2
1
1
2
2
2
2
2
2
2
2
2
2
1
1
1
1
34
34
34
34
34
35
35
35
35
36
36
37
37
37
38
38
38
39
39
40
40
2
1
3
1
4
3
2
2
4
3
3
3
2
2
1
1
3
1
4
1
4
TOTALS
1601 125
1
1
2
2
1
1
2
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
3
1
3
2
3
1
2
2
3
2
1
2
1
2
2
1
3
1
2
5
8
8
7
9
7
9
6
8
8
9
9
7
8
6
6
8
4
9
6
9
6
7
8
5
9
7
9
6
8
7
9
7
9
9
8
8
8
5
8
8
8
11
15
16
12
18
14
18
12
16
15
18
16
16
17
14
14
16
8
17
14
17
59
96
370
382
751
Running Head: STATISTICS
Hypothesis Testing and Two-Group t Tests
Yamilette Albertson
PSYCH/625
Sept. 9, 2019
Matt Will
STATISTICS
2
Hypothesis - Using the variables provided, engagement and happiness, a hypothesis would be; an
increase in positive relationships with a worker’s immediate supervisor results in workplace
happiness.
Null Hypothesis – There is no effect on employee happiness resulting from an increase in
employee relationship with supervisor.
Alternate Hypothesis – Having a positive relationship with a worker does not guarantee
happiness in the work place.
Statistical Analysis - A paired t-test would be appropriate for these variables since they are from
a single population and are observed from a single population. A paired t-test is suitable as it
compares means sample means from a single population unlike a t-test which compares means of
two varied and detached populations. For this case, the two variables are happiness and
engagement resulting from a supervisor’s relationships.
t-test Analysis
t-Test: Two-Sample Assuming Equal Variances
Mean
Variance
Observations
Pooled Variance
Hypothesized Mean
Difference
df
t Stat
P(T
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