Statistics: Analysis of Employee Engagement and Workload at Indigo Insurance Company

RUNNING HEADER: STATISTICS 1
Statistics
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Statistics 2
Question 1:
Group Statistics
Length of time with the
company
N Mean Std.
Deviation
Std. Error
Mean
Level of Engagement
with your Supervisor
[scale of 0 - 20]
Less than 5 years 1343 14.1616 5.20475 .14202
5 years or more 2995 13.5953 5.06569 .09256
There are 1,343 employees with less than 5 years tenure and 2,995 with more than 5 years or more. The mean scale of engagement
with the supervisor of employees with less than 5 years is 14.16. Consequently, the mean scale of engagement with the supervisors of
employees with 5 years or more is 13.59.
Independent Samples Test
Levene's Test for
Equality of
Variances t-test for Equality of Means
F Sig. t df
Sig. (2-
tailed)
Mean
Differenc
e
Std. Error
Differenc
e
95% Confidence
Interval of the
Difference
Lower Upper
Level of
Engagement with
your Supervisor
[scale of 0 - 20]
Equal
variances
assumed 0.373 0.542
3.37
5 4336 0.001 0.56625 0.16779 0.23731 0.8952
Equal variances not assumed 3.34
2520.39
3 0.001 0.56625 0.16953 0.23383 0.89868

Statistics 3
The Levene’s p > 0.05, thus we do not reject the null of Levene’s test and conclude that the variance in the level of engagement with
the supervisors of the employees with less than 5 years is not significantly different than that of employees with 5 years or more.
Using assumed equal variances, the p-value <0.05. Thus, we choose to reject the null hypothesis and conclude that the mean level of
engagement with the supervisor for employees with less than 5 years and the employees with 5 or more years is significantly different.
Question 2:
Group Statistics
Sex N Mean Std.
Deviation
Std. Error
Mean
Level of Engagement
with your Supervisor
[scale of 0 - 20]
Female 2290 13.8031 5.23840 .10947
Male 2048 13.7344 4.97495 .10993
There are 2,290 female employees and 2,048 male employees. The mean level of engagement with the supervisor of female
employees is 13.8. Consequently, the mean level of engagement with the supervisors of male employees is 13.73.
Independent Samples Test
Levene's Test for
Equality of
Variances
t-test for Equality of Means
F Sig. t df Sig. (2-
tailed)
Mean
Differenc
e
Std. Error
Differenc
e
95% Confidence
Interval of the
Difference
Lower Upper