The time it takes Jessica to bicycle to school is normally distributed with mean 15 minutes and variance 4. Jessica has to be at school at 8:00 am. Suppose you saw her at class, and she said it took her 23 minutes to get to school that day. Which of the following is a reasonable inference or conclusion?
A) Twenty-three minutes to school is not an unusually long commute time.
B) A commuting time of 23 minutes is highly unusual or atypical.
C) The distribution of commute times must not be normal with mean 15 minutes and standard deviation 2 minutes.
D) Both "A commuting time of 23 minutes is highly unusual or atypical" and "The distribution of commute times must not be normal with mean 15 minutes and standard deviation 2 minutes" are feasible conclusions.
E) Both "Twenty-three minutes to school is not an unusually long commute time" and "The distribution of commute times must not be normal with mean 15 minutes and standard deviation 2 minutes" are feasible conclusions.
Correct Answer:
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