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 225 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. (a) (b) (c) P(x) 0.04- AP (G) 0.04- AP(G) G 0.6 11.7 0.04- =11.7 a. 11.7 G. =0.78 19.5 A=19.5 50 Time (in sec) -20 Time (in sec.) 50 40 50 Time (in sec) Time (in sec.) Graph (b) most closely resembles the sampling distribution of the sample means, because p; =.0: =. and the graph (Type an integer or a decimal.)

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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 225 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.
(a)
(b)
(c)
0.04Px)
AP (
AP (3)
0.04
a: = 11.7
E 0.04-
- 11.7
AP(G)
06
6. 0.78
19.5
JuA= 1.3
50
Time (in sec)
-20
Time (in sec.)
50
40
Time (in sec.)
40
Time (in sec.)
Graph (b) most closely resembles the sampling distribution of the sample means, because p; = 0; = and the graph
(Type an integer or a decimal.)
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 225 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. (a) (b) (c) 0.04Px) AP ( AP (3) 0.04 a: = 11.7 E 0.04- - 11.7 AP(G) 06 6. 0.78 19.5 JuA= 1.3 50 Time (in sec) -20 Time (in sec.) 50 40 Time (in sec.) 40 Time (in sec.) Graph (b) most closely resembles the sampling distribution of the sample means, because p; = 0; = and the graph (Type an integer or a decimal.)
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