The graph of the annual snowfall distribution (in feet) for a particular county is shown below on the left with its mean and standard deviation. Assume that a sample size of 100 is drawn from the population. Determine which of the graphs labeled (a)-(c) would most closely resemble the sampling distribution of the sample means. Explain your reasoning. Choose the correct graph below. OA. H=0.420 P(X) dx=0.280 Q Snowfall (in feet) Rel. frequency 0.16- P(x) G=2.8 O B. u=4.2 x 10 Snowfall (in feet) Q Q P(X) a: = 0.28 E H: =4.2 24 6 8 10 Snowfall (in feet) This graph most closely resembles the sampling distribution of the sample means, because µ = =, and the graph G Q Q O C. P(X) d=2.8 H: =4.2 -5-2 1 4 7 10 13 Snowfall (in feet) Q

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 8PPS
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Question
The graph of the annual snowfall distribution (in feet) for a
particular county is shown below on the left with its mean and
standard deviation. Assume that a sample size of 100 is
drawn from the population. Determine which of the graphs
labeled (a)-(c) would most closely resemble the sampling
distribution of the sample means. Explain your reasoning.
Choose the correct graph below.
O A.
Hx
= 0.420
o- = 0.280
X
-2
P(X)
1
Snowfall (in feet)
Q
Rel. frequency
0.16-
0
P(x)
O B.
o = 2.8
μ = 4.2 X
10
Snowfall (in feet)
P(X)
% = 0.28
H₂=4.2
02 4 6 8
Snowfall (in feet)
=
This graph most closely resembles the sampling distribution of the sample means, because μ
10
N
6-=
X
and the graph
O C.
P(X)
6- = 2.8
H-=4.2
X
-5 -2 1 4 7 10 13
Snowfall (in feet)
Transcribed Image Text:The graph of the annual snowfall distribution (in feet) for a particular county is shown below on the left with its mean and standard deviation. Assume that a sample size of 100 is drawn from the population. Determine which of the graphs labeled (a)-(c) would most closely resemble the sampling distribution of the sample means. Explain your reasoning. Choose the correct graph below. O A. Hx = 0.420 o- = 0.280 X -2 P(X) 1 Snowfall (in feet) Q Rel. frequency 0.16- 0 P(x) O B. o = 2.8 μ = 4.2 X 10 Snowfall (in feet) P(X) % = 0.28 H₂=4.2 02 4 6 8 Snowfall (in feet) = This graph most closely resembles the sampling distribution of the sample means, because μ 10 N 6-= X and the graph O C. P(X) 6- = 2.8 H-=4.2 X -5 -2 1 4 7 10 13 Snowfall (in feet)
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