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to four decimal places as heeded.) (b) What is the probability that a random sample of 12 time intervals between eruptions has a mean longer than 95 minutes?

to four decimal places as heeded.) (b) What is the probability that a random sample of 12 time intervals between eruptions has a mean longer than 95 minutes?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question 7 ( B )
Suppose a geyser has a mean time between eruptions of 84 minutes. Let the interval of time between the eruptions be normally distributed with standard deviation 27 minutes. Complete parts (a) through (e) below. (a) What is the probability that a randomly selected time interval between eruptions is longer than 95 minutes? The probability that a randomly selected time interval is longer than 95 minutes is approximately 0.3419, (Round to four decimal places as needed.) (b) What is the probability that a random sample of 12 time intervals between eruptions has a mean longer than 95 minutes? The probability that the mean of a random sample of 12 time intervals is more than 95 minutes is approximately (Round to four decimal places as needed.) Help Me Solve This View an Example Get More Help- Clear All Check Answer Next Previous Aa etv MacBook Air & dele 9 P Y н J K > v N command option 3: O
Transcribed Image Text:Suppose a geyser has a mean time between eruptions of 84 minutes. Let the interval of time between the eruptions be normally distributed with standard deviation 27 minutes. Complete parts (a) through (e) below. (a) What is the probability that a randomly selected time interval between eruptions is longer than 95 minutes? The probability that a randomly selected time interval is longer than 95 minutes is approximately 0.3419, (Round to four decimal places as needed.) (b) What is the probability that a random sample of 12 time intervals between eruptions has a mean longer than 95 minutes? The probability that the mean of a random sample of 12 time intervals is more than 95 minutes is approximately (Round to four decimal places as needed.) Help Me Solve This View an Example Get More Help- Clear All Check Answer Next Previous Aa etv MacBook Air & dele 9 P Y н J K > v N command option 3: O
Expert Solution
Step 1

Let X denote the time interval between tye eruptions. Given that X follows N(mean = 84, SD = 27)

Sample size n = 12

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