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- 8.04P() G 11.7 =11.7 1.17 iu = 9 = 18,9 d: = 11.7 A- 18.9 H: 18.9 50 Time (in sec.) -20 50 Time (in sec.) 50 Time (in sec.) Time (in sec.) Graph most closely resembles the sampling distribution of the sample means, because p; =. 0; =. and the graph (Type an integer or a decimal.) approximates a normal curve Aouanbo jo

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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.
oP ()
8.04P()
G: = 11.7
0.04-
O = 11.7
= 1.17
0.04
0: = 11.7
IH = N.9
:= 18,9
- 18.9
H: 18.9
50
20
Time (in sec.)
Time (in sec.)
50
Time (in sec.)
50
Time (in sec.)
Graph most closely resembles the sampling distribution of the sample means, because = | 0; =|
and the graph
(Type an integer or a decimal.)
approximates a normal curve
is the same shape as the graph for the original distribution
Rel. frequency
kouanbay ja
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. oP () 8.04P() G: = 11.7 0.04- O = 11.7 = 1.17 0.04 0: = 11.7 IH = N.9 := 18,9 - 18.9 H: 18.9 50 20 Time (in sec.) Time (in sec.) 50 Time (in sec.) 50 Time (in sec.) Graph most closely resembles the sampling distribution of the sample means, because = | 0; =| and the graph (Type an integer or a decimal.) approximates a normal curve is the same shape as the graph for the original distribution Rel. frequency kouanbay ja Rel. frequency
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