A study was conducted by researchers to study the difference between the volumes of rainfall in two different districts: District A and District B. Previous studies indicate that the average rainfall volumes in District A is 156.4 m³ with a standard deviation of 7.7 m³, and the average volume of rainfall in District B is 195.5 m³ with a standard deviation of 9.3 m³. A random sample of three months and five months of rainfall volumes are taken from District A and B, respectively. Assume that the rainfall volumes at both districts are normally distributed. Thus, find the probability that the mean volume of rainfall at both districts differ by at least 25 m³.
A study was conducted by researchers to study the difference between the volumes of rainfall in two different districts: District A and District B. Previous studies indicate that the average rainfall volumes in District A is 156.4 m³ with a standard deviation of 7.7 m³, and the average volume of rainfall in District B is 195.5 m³ with a standard deviation of 9.3 m³. A random sample of three months and five months of rainfall volumes are taken from District A and B, respectively. Assume that the rainfall volumes at both districts are normally distributed. Thus, find the probability that the mean volume of rainfall at both districts differ by at least 25 m³.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Transcribed Image Text:A study was conducted by researchers to study the difference between the volumes of rainfall
in two different districts: District A and District B. Previous studies indicate that the average
rainfall volumes in District A is 156.4 m³ with a standard deviation of 7.7 m³, and the average
volume of rainfall in District B is 195.5 m³ with a standard deviation of 9.3 m³. A random
sample of three months and five months of rainfall volumes are taken from District A and B,
respectively. Assume that the rainfall volumes at both districts are normally distributed.
Thus, find the probability that the mean volume of rainfall at both districts differ by at
least 25 m3.
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