question archive Suppose a geyser has a mean time between eruptions of 77 minutes
Suppose a geyser has a mean time between eruptions of 77 minutes
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Suppose a geyser has a mean time between eruptions of 77 minutes. If the interval of time between the eruptions is normally distributed with standard deviation 18 minutes?, answer the following questions.
- What is the probability that a random sample of 7 time intervals between eruptions has a mean longer than 86 ?minutes?
The probability that the mean of a random sample of 7 time intervals is more than 86 minutes is approximately
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Probability = 0.0934
Step-by-step explanation
Z score of mean = (xbar - mu)/(sd/sqrt(n))
P(xbar > 86)
= p(Z > 86 - 77/(18/sqrt(7))
= p(Z > 1.32)
= 0.0934
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