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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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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Statisic and prob . Sampling distribution

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.
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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