Advanced Placement (AP)

A music website claims the mean length of their songs is 3.75 minutes. Suppose the length of songs from this website follows a Normal distribution with standard deviation 0.5 minutes. If 7 songs from this website are randomly selected, then there is about a 90% probability that the sample mean will fall in which interval? a. 1.57–5.93 minutes
b. 2.93–4.57 minutes
c. 3.44–4.06 minutes
d. 3.54–3.96 minutes
e. 3.63–3.87 minutes

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