QMM2400
F19
Chp 2 and 6 Review Problems
Solution
Page: 1 of 8
1)
A packaging process is supposed to fill small boxes of raisins with approximately 50
raisins so that each box will weigh the same.
However, the number of raisins in each
box will vary.
To study the process, 100 boxes were randomly sampled and the
number of raisins in each box was counted.
The data appear in the Raisins worksheet
of the Chp 2, 3 and 6 Review Problems data workbook on Moodle.
a)
Construct a frequency distribution.
The table to the right uses intervals of width three for
a frequency distribution and a relative frequency
distribution.
b)
Construct a relative frequency distribution.
c)
Prepare a Histogram.
The Histogram to the right is a bar
chart of the frequency
distribution above
2)
The soft drink market is an extremely large and
growing market in the United States and
worldwide.
In a recent year, 9.6 billion cases of
soft drinks were sold in the United States alone.
The table to the right (which also appears on the
Soft Drink worksheet of the Chp 2, 3 and 6
Review Problems data workbook on Moodle)
contains the percentage of sales by place of sale.
a)
Construct a pie chart.
Percentage
Supermarket
Fountain
Convenience store / gas
station
Vending machine
Mass merchandisers
Drugstores
Relative
Interval
Frequency
Frequency
0 - 37
0
0.00
38 -40
2
0.02
41 -43
3
0.03
44 -46
13
0.13
47 -49
27
0.27
50 - 52
19
0.19
53 - 55
19
0.19
56 - 58
12
0.12
59 - 61
5
0.05
62 - 64
0
0.00
65 and up
0
0.00
0
5
10
15
20
25
30
0 -
37
38 -40
41 -43
44 -46
47 -49
50 -
52 53 -
55 56 -
58 59 -
61 62 -
64 65 and
up
Frequency
Place of sales
Percentage
Supermarket
44
Fountain
24
Convenience store / gas station
16
Vending machine
11
Mass merchandisers
3
Drugstores
2

QMM2400
F19
Chp 2 and 6 Review Problems
Solution
Page: 2 of 8
b)
Construct a bar chart.
c)
Which of the two charts above (pie or bar) would prefer to present this data.
Why?
This is an opinion question, i.e., there is no one correct answer.
3)
The U.S. National Oceanic and Atmospheric
Administration, National Marine Fisheries
Service, publishes data on the quantity and
value of domestic fishing in the United
States.
The quantity (in millions of pounds)
of fish caught and used for human food and
for industrial products (oil, bait, animal food,
etc.) over a ten year period appears in the
table to the right and on the Fishing
worksheet of the Chp 2, 3 and 6 Review
Problems data workbook on Moodle.
a)
Construct a scatter plot of the data.
b)
Examine the plot and discuss the strength of the relationship of the two variables.
There appears to be somewhat of an inverse relationship, i.e., as Human food
increases, industrial product appears to decrease.
0
5
10
15
20
25
30
35
40
45
50
Percentage
0
500
1000
1500
2000
2500
3000
3500
0
1000
2000
3000
4000
5000
6000
7000
Industrial Product
Human Food
Industrial Product
Human Food
Industrial Product
3654
2828
3547
2430
3285
3082
3238
3201
3320
3118
3294
2964
3393
2638
3946
2950
4588
2604
6204
2259