The owner of a small convenience store suspects that one of his managers has been stealing small amounts from the till by registering small voided sales and pocketing the cash. He decides to collect data on the total amount of the voids per day ($) over a number of days for two managers. The first manager (Manager C) is a trusted manager that has worked at the convenience store over many years while the second manager (Manager D) is relatively new and is the one he suspects has been stealing small amounts.

mgr_c	mgr_d
29.5	100
0	60
0	158.38
0	92
707	0
0	50
548	1
0	0
0	189
1	22
8	0
35.45	0
45.5	143.25
25	20
0	22
0	126.5
54.3	689.85
10	22
20	201
0	90
85	0
0	119
0	123
0	140
0	37.5
0	124.5
31.5	150
20.5	100
0	30
95	131
0	417.5
2	150
0	111
0	114
2	100
2.5	0.95
0	1211.5
121	1
0	171
4	27
34.5	183
12	0.2
0	100
0	190
0	135
44	1514
400.5	150.8
24.5	110
0	0
0	20
91	340.75
2	3
0	61
12	253.29
61	10.5
0	51
0	158.51
4	100
24.64	102
5	70
3.5	1.5
43.43	100.53
190.99	110.75
0
19.63
2
0
285
6
0
20
0
817
15
0
0
0
33.5
27.5
0
0
0
0
0
7.75
0
0
9.5
9
0
0.5
0
0

(a) Use this data to obtain a set of descriptive statistics corresponding to the observations for each manager. Discuss what features you observe from these summary statistics. (b) For each manager, construct a histogram by choosing appropriate classes (bins) and justify how you chose them. Using the classes (bins) for each histogram also produce a table of relative frequencies. Discuss what features you observe. (c) Do you think the concern of the owner is justified?