Question: The diameters of oranges from a Florida orchard are normally distributed with mean \[\mu =3.2\] inches and standard deviation \[\sigma =1.1\] inches. A packing supplier is designing special occasion presentation boxes of oranges and needs to know the average diameter for a random sample of 36 oranges. What is the probability that the mean diameter \[\bar{x}\] for these oranges is

1. smaller than 3 inches.
2. larger than 4 inches.
3. between 3 and 4 inches.

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Deliverable: Word Document