APPENDIX
D
ANSWERS
TO
ODD-NUMBERED EXERCISES
CHAPTER I
I.J
Statistical
pO/iulation
could be air quality values for all
C.s.·based flights during period of study. The
sample
is the mea·
\Urements from the L5K flights.
13
(a) Laptop; (c) Collection of all laptop weights.
1.5 unit: hard
drive, variable: distance, population: distances for
drives
made in hour. sample; distances for the 40 drives.
1.7
(a)
x
== 214.67: (0) Below LCL.
17
(a) 150.0 170.0, 190.0, 210.0, 230.0, 250.0;
(b)
20.
19 (a)
11.5,20.5, 29.5, 38.5.47.5, 56.5.65.5;
(b)
9.
111 The cumulative "less than or equal to" frequencies are O. 5,
16.25.43, 49. 50.
1.13
The cumulative "less than" frequencies are 0, 10. 20. 29, 40,
~ 2,
62.68.72. 76, 77, 79, 80.
2.15
The cumulative "less than" frequencies are 0, 4, 17.35,60,
11.94, and 100.
117
The cumulative "or more" frequencies are 60, 45, 33,
22,
15,
.2.
and O.
119
No,
because we tend to compare areas: the large sack should
modified so that its area is about double that of the small sack.
4
5
6
4
4
6
6
7
7
g
67 88 95
17 55 70 83 91
05 193462
0840
12
12
6 R
2344
555566789
00112334
5555677889
0001 I
122233344
55566677899
0001
1122234
55577K8K9
00233444
566 7 89
0224
58
2.29 (b) Mean.
(a)
x
== -
3: (b)
s
==
2.94; (e) hole too small on average.
(alX == 30.14: (b) No, trend exists.
No, the total earning, are only $525,000.
(a)x==0.3990:(0)s =0.1817.
2.41
x
= 30.91 , 01 =
3004 ,
Q2 = 30.85.
OJ
= 31.2.
2.45 (a)
x
= 0.1673 ; (0)
s
= 0.0832; (c) No major difference.
2.47
x
=
87040. s
= 161.47.
2.49 v
= 27.76%.
2.53 (a) 90; (b) 5.00.
2.55 (a) QI
==
279.55,
Q ~
= 327.22, and the interquflI1ile range
is 47.67; (b) QI = 3.00. QJ = 6.80.
2.57
(a)
73.0; (b) 42.08%.
2.59
(a)
QI = 1712, Q2 = 1863, Q3 =2061;
(c)
QI =69.5,
Q2 = 70.55,
Q3
==
71 .80.
2.6] (a) The class frequencies are 1, 8, 19, 17,9,3, and
I.
2.63 (a)
x
=
504835
and
s
=
0.1904; (b) median is
5046 ,
QI
==
5.34 and Q) = 5.63; (c) there is no apparent trend.
2.65 (a) median
==
0040,
maximum
==
0.57 , minimum
==
0.32 and
the range
==
0.25; (b) median
=
0.51, maximum
==
0.63, minimum
==
0.47 and the range
=
0.16.
2.67 (a) QI = 18.0.
{h
==
27.0, Q3 = 30.0; (b) minimum
=
12,
maximum
==
48, range
==
36, and the interquartile range
==
12.0.
2.69 (a) QI
=
19. Ql
==
28. QJ
=
55; (b) minimum
==
12, maxi·
mum
==
63, range
==
51. and the interquartile range
==
36 .
2.73
(a)
x
= 0.2441 (b)
s
=
0.0036; (c)
l'
==
1.5%: (d) the larger
drive has
v
=
17.9% so is relatively more variable.
2.75
(a)
QI = 497.2, Q2
==
602.0, QJ
==
743 .3; (b) 895.8.
2.77 No.
2.79 (b) Median
== I
greater than
x
==
10/
II.
CHAPTERl
3.1 (b)R
= {(O.O).(I, 1) , (2,2)).
T
= {(0.0).(I.O), (2.0),(3 ,0)}.U
==
{CO.I),(0,2) . (1.2)} .
3.3 (a)
R
U
U
= 1(0, 0). (I , I). (2 , 2). (0. I), (0. 2). (I . 2)} is the
event that at least as many streams are contaminated as lakes.
(b)