When honeybees are looking for a new home, they send out scouts to explore options. When a scout returns, she does a "waggle dance with multiple circuit repetitions to tell the swarm about the option she found.¹ The bees then decide between the options and pick the best one. Scientists wanted to find out how honeybees decide which is the best option, so they took a swarm of honeybees to an island with only two possible options for new homes: one of very high honeybee quality and one of low quality. They then kept track of the scouts who visited each option and counted the number of waggle dance circuits (HoneybeeCircuits) each scout bee did when describing the option.2 Comparative dotplots of number of circuits performed by the 41 bees that visited the high-quality option and the 37 bees that visited the low-quality option are shown in the figure below. Y ub

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 36EQ
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Question
Cab
ock
How Do Honeybees Communicate Quality?
When honeybees are looking for a new home, they send out scouts to explore options. When a scout returns, she does a "waggle
dance" with multiple circuit repetitions to tell the swarm about the option she found.¹ The bees then decide between the options and
pick the best one. Scientists wanted to find out how honeybees decide which is the best option, so they took a swarm of honeybees to
an island with only two possible options for new homes: one of very high honeybee quality and one of low quality. They then kept track
of the scouts who visited each option and counted the number of waggle dance circuits (HoneybeeCircuits) each scout bee did when
describing the option.2 Comparative dotplots of number of circuits performed by the 41 bees that visited the high-quality option and
the 37 bees that visited the low-quality option are shown in the figure below.
esc
A
2
option
N
@
2
W
88 80000000
0
S
Click here for the dataset associated with this question.
Check out a honeybee waggle dance on YouTube!
2Seeley, T., Honeybee Democracy, Princeton University Press, Princeton, NJ, 2010, p. 128.
X
command
#
3
erlookboo
of
a
100
Circuits
Number of circuits completed in the honeybee waggle dance
T
E
D
$
000
4
C
200
T
R
F
..
de 40
%
5
300
V
T
6
G
MacBook Pro
Y
400
B
&
7
H
U
*
8
N
J
1
S
(
9
K
M
*
-0
O
C
M
Vi
Mu
Transcribed Image Text:Cab ock How Do Honeybees Communicate Quality? When honeybees are looking for a new home, they send out scouts to explore options. When a scout returns, she does a "waggle dance" with multiple circuit repetitions to tell the swarm about the option she found.¹ The bees then decide between the options and pick the best one. Scientists wanted to find out how honeybees decide which is the best option, so they took a swarm of honeybees to an island with only two possible options for new homes: one of very high honeybee quality and one of low quality. They then kept track of the scouts who visited each option and counted the number of waggle dance circuits (HoneybeeCircuits) each scout bee did when describing the option.2 Comparative dotplots of number of circuits performed by the 41 bees that visited the high-quality option and the 37 bees that visited the low-quality option are shown in the figure below. esc A 2 option N @ 2 W 88 80000000 0 S Click here for the dataset associated with this question. Check out a honeybee waggle dance on YouTube! 2Seeley, T., Honeybee Democracy, Princeton University Press, Princeton, NJ, 2010, p. 128. X command # 3 erlookboo of a 100 Circuits Number of circuits completed in the honeybee waggle dance T E D $ 000 4 C 200 T R F .. de 40 % 5 300 V T 6 G MacBook Pro Y 400 B & 7 H U * 8 N J 1 S ( 9 K M * -0 O C M Vi Mu
5
(d) The mean for the high-quality group is xH = 90.5 with a standard deviation of 94.6, while the mean for the low-quality group
is x = 30.0 with a standard deviation of 49.4. What is the difference in means, XH - XL?
XL
Enter the exact answer.
XH - XL = i
DSC
eTextbook and Media
Hint
(e) Round your answers to three decimal places.
Find the z-score for the largest value in the high-quality group.
2-score=
Find the z-score for the largest value in the low-quality group.
z-score=
Which is larger relative to its group?
1
option
A
2
N
@
2
W
S
X
H
command
3
Q
E
D
DS
4
C
R
TI
%
5
V
T
MacBook Pro
CO
6
G
Y
B
&
7
H
00
8
N
J
(
1
9
K
3
M
O
O
Transcribed Image Text:5 (d) The mean for the high-quality group is xH = 90.5 with a standard deviation of 94.6, while the mean for the low-quality group is x = 30.0 with a standard deviation of 49.4. What is the difference in means, XH - XL? XL Enter the exact answer. XH - XL = i DSC eTextbook and Media Hint (e) Round your answers to three decimal places. Find the z-score for the largest value in the high-quality group. 2-score= Find the z-score for the largest value in the low-quality group. z-score= Which is larger relative to its group? 1 option A 2 N @ 2 W S X H command 3 Q E D DS 4 C R TI % 5 V T MacBook Pro CO 6 G Y B & 7 H 00 8 N J ( 1 9 K 3 M O O
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