8.1.22 Question Help Suppose a geyser has a mean time between eruptions of 97 minutes. If the interval of time between the eruptions is normally distributed with standard deviation 20 minutes, answer the following questions. (a) What is the probability that a randomly selected time interval between eruptions is longer than 105 minutes? The probability that a randomly selected time interval is longer than 105 minutes is approximately 0.3446. (Round to four decimal places as needed.) (b) What is the probability that a random sample of 16 time intervals between eruptions has a mean longer than 105 minutes? (Round to four decimal places as needed.) The probability that the mean of a random sample of 16 time intervals is more than 105 minutes is approximately

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8.1.22
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Suppose a geyser has a mean time between eruptions of 97 minutes. If the interval of time between the eruptions is normally distributed with standard deviation
20 minutes, answer the following questions.
(a) What is the probability that a randomly selected time interval between eruptions is longer than 105 minutes?
The probability that a randomly selected time interval is longer than 105 minutes is approximately 0.3446. (Round to four decimal places as needed.)
(b) What is the probability that a random sample of 16 time intervals between eruptions has a mean longer than 105 minutes?
(Round to four decimal places as needed.)
The probability that the mean of a random sample of 16 time intervals is more than 105 minutes is approximately
Transcribed Image Text:8.1.22 Question Help Suppose a geyser has a mean time between eruptions of 97 minutes. If the interval of time between the eruptions is normally distributed with standard deviation 20 minutes, answer the following questions. (a) What is the probability that a randomly selected time interval between eruptions is longer than 105 minutes? The probability that a randomly selected time interval is longer than 105 minutes is approximately 0.3446. (Round to four decimal places as needed.) (b) What is the probability that a random sample of 16 time intervals between eruptions has a mean longer than 105 minutes? (Round to four decimal places as needed.) The probability that the mean of a random sample of 16 time intervals is more than 105 minutes is approximately
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