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) 3 *P(x) 0.04- 126 -8.3 Time (in sec.) Q Q C 0.04.10 (x) Q d.-12.6 Q -1.2 C Time (in sec.) (b) AP(x) 0.55- a=0.84 -18.3 Time (in sec) Q Q (c) 0.04.JP(x) -12.6 Time (in sec.) Graph most closely resembles the sampling distribution of the sample means, because : =.=, and the graph (Type an integer or a decimal.) Q Q L approximates a normal curve is the same shape as the graph for the original distribution

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 22SGR
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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)
*P(x)
0.04-
0=12.6
1= 8.3
I
50
Time (in sec.)
Q
0.04-
-40
P(x) Q
G-= 12.6
=1.2
40
Time (in sec.)
(b)
-AP (X)
0.55-
-=0.84
I
U-18.3
0
Time (in sec.)
Rel. frequency
50
Q
Graph ✔most closely resembles the sampling distribution of the sample means, because μ =
(Type an integer or a decimal.)
(c)
↑P(x)
0.04-
-20
G-= 12.6
H=18.3
50
Time (in sec.)
and the graph
Q
Q
approximates a normal curve
is the same shape as the graph for the original distribution
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) *P(x) 0.04- 0=12.6 1= 8.3 I 50 Time (in sec.) Q 0.04- -40 P(x) Q G-= 12.6 =1.2 40 Time (in sec.) (b) -AP (X) 0.55- -=0.84 I U-18.3 0 Time (in sec.) Rel. frequency 50 Q Graph ✔most closely resembles the sampling distribution of the sample means, because μ = (Type an integer or a decimal.) (c) ↑P(x) 0.04- -20 G-= 12.6 H=18.3 50 Time (in sec.) and the graph Q Q approximates a normal curve is the same shape as the graph for the original distribution
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