4
b b
c, a?
2.11
a a
b, c
2.12
Bankrupt Nonbankrupt
Minitab or similar program recommended
54
1.09 1.51
2.49 2.01
1.01 1.45
3.27 2.25
1.56 .71
4.24 4.45
1.50 1.37
2.52 2.05
1.37 1.42
2.35 1.80
.33 1.31
2.17 2.50
2.15 1.19
.46 2.61
1.88 1.99
2.23 2.31
1.51 1.68
1.84 2.33
1.26 1.14
3.01 1.24
1.27 4.29
1.99 2.92
2.45 5.06
CHAPTER 2 DESCRIBING PATTERNS IN DATA
Bankrupt.dat
a. Construct a dot diagram of the fuel costs for gasoline trucks. Construct a
separate dot diagram of the fuel costs for diesel trucks using the same scale as that for gasoline trucks. Comment on the differences if any between
the two types of trucks.
b. Construct separate stem-and-leaf displays for the fuel costs of gasoline and
diesel trucks. Use the same scale. Let the leaf unit be tenths. Truncate rather than round the hundredths digit.
c. Repeat part
with a leaf unit of hundredths. d.
Using part or part
construct a back-to-back stem-and-leaf diagram of fuel costs for gasoline and diesel trucks. Are the differences if any
consistent with those of the dot diagrams in part Refer to the data in Exercise 2.10.
a. Construct a frequency distribution see as an example Table 2.2 for the
fuel costs of gasoline trucks. Use 10 class intervals of equal length 3. Set the midpoint of the first class interval equal to 3 and the midpoint of the last
class interval equal to 30. Your table should include both frequencies and relative frequencies.
b. Repeat part
using the fuel costs of diesel trucks. Use the same class intervals.
c. Using the results in parts
and construct back-to-back relative frequency
histograms of fuel costs for gasoline and diesel trucks. Are there any differences between gasoline and diesel trucks with respect to fuel costs?
d. Would the configuration of the histograms in part
change if densities rather than relative frequencies were used to construct the back-to-back
histograms? Discuss. Annual financial data were col-
lected for firms approximately 2 years before bankruptcy and for financially sound firms at about the same time. The accompanying table gives data on the
variable Current assets Current liabilities CA CL for 21 bankrupt and 25
nonbankrupt firms Moody’s Industrial Manuals .
a. Construct a dot diagram on the interval [ 0, 6 ] using all the observations of
CA CL. Comment on its general appearance.
b? 2.13
a a
b, c