b? 2.13
a a
b, c
2.14
a a,
2.15
. , . . , .
. , . . , .
. , .
. , .
. , .
Size of Raise Frequency
Minitab or similar program recommended
Quality Progress Quality Progress,
55
2 [
1 1 602
[ 1 3 1 715
[ 3 1 5 1 1405
[ 5 1 7 1 805
[ 7 1 10 1 386
[ 10 1 15 1 178
[ 15 1 20 1 54
2.4 GRAPHICAL DISPLAYS OF DATA DISTRIBUTIONS
PaprStrg.dat
b. Construct separate dot diagrams of CA CL for bankrupt and nonbankrupt
firms. Use the interval [ 0, 6 ] in both cases. Compare the results. Based on the evidence here, do you think this variable may be useful in distinguishing
bankrupt from nonbankrupt firms?
c. Construct a back-to-back stem-and-leaf diagram of CA CL for bankrupt and
nonbankrupt firms. Let the leaf unit be .10. Truncate the hundredths digit. Is the result consistent with the separate dot diagrams in part
Refer to the data in Exercise 2.12. a.
Construct a frequency distribution for example, see Table 2.2 of CA CL for bankrupt firms. Use four class intervals of equal length .5. Let the first
class midpoint be .5 and the last class midpoint be 2. Your table should include both frequencies and relative frequencies.
b. Repeat part
using the data for nonbankrupt firms. Use 10 class intervals of length .5. Let the first class midpoint be .5 and the last class midpoint
be 5. c.
Using the results in parts and
construct back-to-back relative frequency histograms of CA CL for bankrupt and nonbankrupt firms. Interpret the
results. d.
Would the configurations of the histograms in part change if densities
rather than relative frequencies were used to construct the back-to-back histograms? Discuss.
Consider the observations on “strength in the machine direction” discussed in Example 2.6 and given in Table
6, Appendix C. a.
Using all the data on strength in the machine direction, construct a frequency histogram using class intervals all of equal length 3. Set the midpoint of the
first class interval at 104 and the midpoint of the last class interval at 134. Compare the result with the histogram of strengths in the machine direction
given in Figure 2.6.
b. Repeat part
using class intervals all of equal length 2. Using the results in Figure 2.6 and part
comment on the effect of changing the class interval length on the appearance of the histogram. Are the observations for the old
and new paper distinguishable? The following frequency distribution shows the magnitudes of raises by per-
centage for 4145 quality professionals surveyed by magazine
Bemowski, K., “1992 Quality Progress Salary Survey.” Sept.
1992, p. 28 .
a, 2.16
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