The Length of Time a Traffic Signal Stays Green (Nicknamed

question 7

Multiple Choice

The length of time a traffic signal stays green (nicknamed the "green time") at a particular intersection follows a normal probability distribution with a mean of 200 seconds and the standard deviation of 10 seconds. Use this information to answer the following questions. Which of the following describes the derivation of the sampling distribution of the sample mean?

• A) A single sample of sufficiently large size is randomly selected from the population of "green times" and its probability is determined.
• B) The means of a large number of samples of size n randomly selected from the population of "green times" are calculated and their probabilities are plotted.
• C) The mean and median of a large randomly selected sample of "green times" are calculated. Depending on whether or not the population of "green times" is normally distributed, either the mean or the median is
• Chosen as the best measurement of center.
• D) The standard deviations of a large number of samples of size n randomly selected from the population of "green times" are calculated and their probabilities are plotted.

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