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) ()o a: 12.4 047PG) a 12.4 0.04 B041 g= 12.4 a124 18.6 9.6 50 Time (in sec.) 50 Time (in sec.) 50 Time (in sec -20 Time (in sec.) Graph V most closely resembles the sampling distribution of the sample means, because u; =.0; =, and the graph (Type an integer or a decimal.) is the same shape as the graph for the original distribution approximates a normal curve

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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-
o.P(X)
= 1.24
0.02P (x)
O: = 12.4
P(x)
3,04
g= 12.4
= 12.4
= 18.6
iH= 8.6
H18.6
18.6
0+
0+
50
Time (in sec.)
50
Time (in sec.)
-20
Time (in sec.)
50
50
Time (in sec.)
Graph
most closely resembles the sampling distribution of the sample means, because u- = ,o; =, and the graph
%3D
(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. AP(x) 0.04- o.P(X) = 1.24 0.02P (x) O: = 12.4 P(x) 3,04 g= 12.4 = 12.4 = 18.6 iH= 8.6 H18.6 18.6 0+ 0+ 50 Time (in sec.) 50 Time (in sec.) -20 Time (in sec.) 50 50 Time (in sec.) Graph most closely resembles the sampling distribution of the sample means, because u- = ,o; =, and the graph %3D (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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