The graph of the waiting time (in seconds) at a red light is shown below on the left with its mean and standard deviation. Assume that a sample size of 100 is drawn from the population. Decide which of the graphs labeled (a)-(c) would most closely resemble the sampling distribution of the sample means. Explain your reasoning. P() =1.29 AP () a = 12.9 *0.04- P(x) 8.04F 12.9 a: = 12.9 Q 18.7 18.7 50 Time (in sec.) 50 Time (in sec.) 50 Time (in sec.) Time (in sec.) Graph V most closely resembles the sampling distribution of the sample means, because u; =.o; =, and the graph (Туре а a decimal.) (a) (c) (b)

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The graph of the waiting time (in seconds) at a red light is shown below on the left with its mean and standard deviation. Assume that a sample size of 100 is drawn from the population. Decide which of the graphs labeled (a)-(c) would most
closely resemble the sampling distribution of the sample means. Explain your reasoning.
AP(x)
0.04-
0.daP (2)
= 12.9
AP(x)
(.04
0.044
0.44
0; = 12.9
O = 12.9
0; = 1.29
µ- = 18.7
iH = 8.7
H18.7
= 18.7
0-
50
50
Time (in sec.)
50
-20
50
Time (in sec.)
Time (in sec.)
Time (in sec.)
Graph
most closely resembles the sampling distribution of the sample means, because u,
and the graph
%3D
(Туре а
a decimal.)
(a)
(c)
(b)
Rel. frequency
Rel. frequency
Rel. frequency
Rel. frequency
Transcribed Image Text:The graph of the waiting time (in seconds) at a red light is shown below on the left with its mean and standard deviation. Assume that a sample size of 100 is drawn from the population. Decide which of the graphs labeled (a)-(c) would most closely resemble the sampling distribution of the sample means. Explain your reasoning. AP(x) 0.04- 0.daP (2) = 12.9 AP(x) (.04 0.044 0.44 0; = 12.9 O = 12.9 0; = 1.29 µ- = 18.7 iH = 8.7 H18.7 = 18.7 0- 50 50 Time (in sec.) 50 -20 50 Time (in sec.) Time (in sec.) Time (in sec.) Graph most closely resembles the sampling distribution of the sample means, because u, and the graph %3D (Туре а a decimal.) (a) (c) (b) Rel. frequency Rel. frequency Rel. frequency Rel. frequency
The graph of the waiting time (in seconds) at a red light is shown below on the left with its mean and standard deviation. Assume that a sample size of 100 is drawn from the population. Decide which of the graphs labeled (a)-(c) would most
closely resemble the sampling distribution of the sample means. Explain your reasoning.
P(x)
0.04-
(aP (x)
(bP
0.44
P(x)
0.044
0.04-
= 12.9
0: = 12.9
O = 12.9
0; = 1.29
:= 18.7
Q
iH = 18.7
H18.7
18.7
X
0-
0-
50
50
Time (in sec.)
50
-20
Time (in sec.)
50
Time (in sec.)
Time (in sec.)
Graph
most closely resembles the sampling distribution of the sample means, because µ, =, 0, = and the graph
O- =
(Type an integer or a decimal.)
is the same shape as the graph for the original distribution
approximates a normal curve
Rel. frequency
Rel. frequency
Rel. frequency
Transcribed Image Text:The graph of the waiting time (in seconds) at a red light is shown below on the left with its mean and standard deviation. Assume that a sample size of 100 is drawn from the population. Decide which of the graphs labeled (a)-(c) would most closely resemble the sampling distribution of the sample means. Explain your reasoning. P(x) 0.04- (aP (x) (bP 0.44 P(x) 0.044 0.04- = 12.9 0: = 12.9 O = 12.9 0; = 1.29 := 18.7 Q iH = 18.7 H18.7 18.7 X 0- 0- 50 50 Time (in sec.) 50 -20 Time (in sec.) 50 Time (in sec.) Time (in sec.) Graph most closely resembles the sampling distribution of the sample means, because µ, =, 0, = and the graph O- = (Type an integer or a decimal.) is the same shape as the graph for the original distribution approximates a normal curve Rel. frequency Rel. frequency Rel. frequency
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