84 minutes. Let the interval of time between the eruptions be normally distributed with standard deviation 27 minutes. Complete parts ​(a) through ​(c) below. ​(a) What is the probability that a randomly selected time interval between eruptions is longer than 97 ​minutes?   The probability that a randomly selected time interval is longer than 97 minutes is approximately nothing. ​(Round to four decimal places as​ needed.)   ​(b) What is the probability that a random sample of 11 time intervals between eruptions has a mean longer than 97 ​minutes?   The probability that the mean of a random sample of 11 time intervals is more than 97 minutes is approximately nothing. ​(Round to four decimal places as​ needed.)   ​(c) What is the probability that a random sample of 29 time intervals between eruptions has a mean longer than 97 ​minutes?   The probability that the mean of a random sample of 29 time intervals is more than 97 minutes is approximately nothing. ​(Round to four decimal places as​ needed.)

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.