Introductory Business Statistics

Running head: Business Statistics
Business Statistics
Name of the University
Name of the Student

Business Statistics2
Table of Contents
Q9...............................................................................................................................................3
Q1:..............................................................................................................................................4
Q2...............................................................................................................................................6
Q3...............................................................................................................................................9
Q4.............................................................................................................................................11
Q5.............................................................................................................................................12
Q6.............................................................................................................................................13
Q7.............................................................................................................................................14
Q8.............................................................................................................................................15
References:...............................................................................................................................17

Business Statistics3

Business Statistics4
Q9.
The data consists of information about employees of two call centres: call centre 1 and call
centre 2. The information are about the following variable:
*Original staff or replacement staff?
*Median call time?
*Median above 3 minutes?
*Number of complaints?
The analysis done provided important information for management to see how both the
centres were performing.

Business Statistics5
Q1:
a) For call centre 1:
1st category of the categorical variable original
2nd category of the categorical variable replacement
average Median call time? for original is 3.35
average Median call time? for replacement is 2.88
descriptive sample statistics
xbar1 xbar2 s1 s2 n1 n2
3.352
4
2.8830
4 0.353036239
0.359
83 100 115
Estimate of the difference between
population means
xbar1-xbar2
= 0.46936
The table above consists of descriptive statistics involving two variables, one categorical:
type of replacement staff and another quantitative variable: Median call time? which consists
of information about the median of the call times of employees. The descriptive statistics
calculated shows that the average median call time for original employees is 3.35 and the
average median call time for the replacement employees is 2.88.

Business Statistics6
The total number of Original employees in the call centre was 100 and the total number of
replacement employees was 115. The difference in the average of median call times showed
that the replacement staff had lower average median call time then the original staff by 0.47.
b)
For call centre 2
descriptive sample
statistics
xbar1 xbar2 s1 s2 n1 n2
3.3758
5
2.8157
8
0.3996
6
0.
3 106 109
From the descriptive statistics, the sample size for original staff employees for call centre 2 is
106 and their average median call time is 3.38 minutes. The sample size for the replacement
staff in call centre 2 is 109 and their median call time is 2.89 minutes.
Estimate of the difference
between population means
xbar1-xbar2 = 0.56