The graph of the waiting time (in seconds) at a red light is shown below on the

Question

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 (b) most closely resembles the sampling distribution of the sample means, because mu_x - = sigma_x - = and the graph approximates a normal curve. (Type an integer or a decimal.)

Explanation / Answer

Sample means always follow normal distribution and therefore curves can be b or d since they are bell shaped. Also we are dividing the standard deviation by sqrt(100)=10 , thus option B is correct since standard deviation should be smaller

for next question correct answer is mean of 19.1 and sd of 1.16, also they follow normal distribution

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