A committee has six members ( P 1 , P 2 , P 3 , P 4 , P 5 , and P 6 ) . In this committee P 1 has twice as many votes as P 2 ; P 2 and P 3 each has twice as many votes as P 4 ; P 4 has twice as many votes as P 5 ; P 5 and P 6 have the same number of votes. The quota is q = 121 . For each of the given definitions of the quota , describe the committee using the notation [ q : w 1 , w 2 , w 3 , w 4 , w 5 , w 6 ] . ( Hin t: Write the weighted voting system as [ 121 : 8 x , 4 x , 4 x , 2 x , x , x ] , and then solve for x .) a. The quota is defined as a simple majority of the votes. b. The quota is defined as more than two-thirds of the votes. c. The quota is defined as more than three-fourths of the votes.
A committee has six members ( P 1 , P 2 , P 3 , P 4 , P 5 , and P 6 ) . In this committee P 1 has twice as many votes as P 2 ; P 2 and P 3 each has twice as many votes as P 4 ; P 4 has twice as many votes as P 5 ; P 5 and P 6 have the same number of votes. The quota is q = 121 . For each of the given definitions of the quota , describe the committee using the notation [ q : w 1 , w 2 , w 3 , w 4 , w 5 , w 6 ] . ( Hin t: Write the weighted voting system as [ 121 : 8 x , 4 x , 4 x , 2 x , x , x ] , and then solve for x .) a. The quota is defined as a simple majority of the votes. b. The quota is defined as more than two-thirds of the votes. c. The quota is defined as more than three-fourths of the votes.
Solution Summary: The author explains the weighted voting system if quota q is defined as a simple majority of the votes.
A committee has six members
(
P
1
,
P
2
,
P
3
,
P
4
,
P
5
,
and
P
6
)
. In this committee
P
1
has twice as many votes as
P
2
;
P
2
and
P
3
each has twice as many votes as
P
4
;
P
4
has twice as many votes as
P
5
;
P
5
and
P
6
have the same number of votes. The quota is
q
=
121
. For each of the given definitions of the quota, describe the committee using the notation
[
q
:
w
1
,
w
2
,
w
3
,
w
4
,
w
5
,
w
6
]
. (Hint: Write the weighted voting system as
[
121
:
8
x
,
4
x
,
4
x
,
2
x
,
x
,
x
]
, and then solve for
x
.)
a. The quota is defined as a simple majority of the votes.
b. The quota is defined as more than two-thirds of the votes.
c. The quota is defined as more than three-fourths of the votes.
A biologist is investigating the effect of potential plant
hormones by treating 20 stem segments. At the end of
the observation period he computes the following length
averages:
Compound X = 1.18
Compound Y = 1.17
Based on these mean values he concludes that there are
no treatment differences.
1) Are you satisfied with his conclusion? Why or why
not?
2) If he asked you for help in analyzing these data, what
statistical method would you suggest that he use to
come to a meaningful conclusion about his data and
why?
3) Are there any other questions you would ask him
regarding his experiment, data collection, and analysis
methods?
Business
Answer first question
Chapter 2 Solutions
Excursions in Mathematics, Loose-Leaf Edition Plus MyLab Math with Pearson eText -- 18 Week Access Card Package
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