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. Graph [ ] most closely resembles the sampling distribution of the sample means, because ?_x? = [ ], ?_x? = [ ], and the graph [ ]. (Type an integer or a decimal.)
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Step 1: According to the central limit theorem, when the sample size is greater than or equal to 30, the sampling distribution of the sample means will be approximately normal. Show more…
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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.
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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. Graph most closely resembles the sampling distribution of the sample means, because μ_x̄ = , σ_x̄ = , and the graph (Type an integer or a decimal.)
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The waiting time, in seconds, of 300 customers at a supermarket cash register are recorded in the table below. $$\begin{array}{|l|c|c|c|c|c|c|c|} \hline \text { Time } & <60 & 60-120 & 120-180 & 180-240 & 240-300 & 300-360 & >360 \\ \hline \text { Frequency } & 12 & 15 & 42 & 105 & 66 & 45 & 15 \\ \hline \end{array}$$ a) Draw a histogram of the data. b) Construct a cumulative frequency graph of the data. c) Use the cumulative frequency graph to estimate the waiting time that is exceeded by $25 \%$ of the customers.
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