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In a sample of 500 eruptions of the Old Faithful geyser at Yellowstone National Park, the...

In a sample of 500 eruptions of the Old Faithful geyser at Yellowstone National Park, the mean duration of the eruptions was 3.32 minutes and the standard deviation was 2.09 minutes. A random sample of size 30 is drawn from this population.

a. Describe the sampling distribution of the eruptions of the Old Faithful geyser.

b. What is the probability that the mean duration of eruptions is between 2.5 minutes and 4 minutes?

Math   Statistics-And-Probability   
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Answer #1

the sampling distribution of the eruptions of the Old Faithful geyser follows a Normal distribution with

(b)

Then z=(x-mean)/SD = (x-3.32)/0.3703 follows standard Normal.

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