Ranking Probabilities for a Sample Mean
The caffeine content of an energy drink is normally distributed with a mean of mg and a standard deviation of mg. For a random sample of six bottles, the sampling distribution of the mean caffeine content has a standard error of approximately mg. Consider the following events:
A: The sample mean caffeine content is greater than mg.
B: The sample mean caffeine content is less than mg.
C: The sample mean caffeine content is between mg and mg.
D: The sample mean caffeine content is between mg and mg.
Which of the following correctly orders these events from least probable to most probable?
A
A, B, C, D
B
B, C, A, D
C
B, A, D, C
D
A, C, D, B
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