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1- According to the records of the last 15 years, the average rainfall in the Marmara Region in March is 11 cm and the standard deviation is 4 cm. In the Aegean Region, according to the records of the last 10 years, the average precipitation for the same month is 15 cm and the standard deviation is 2 cm. Assuming that the observations were taken from normally distributed masses with different variances, test the hypothesis that the mean precipitation in March is equal with an error of 0.05.

1- According to the records of the last 15 years, the average rainfall in the Marmara Region in March is 11 cm and the standard deviation is 4 cm. In the Aegean Region, according to the records of the last 10 years, the average precipitation for the same month is 15 cm and the standard deviation is 2 cm. Assuming that the observations were taken from normally distributed masses with different variances, test the hypothesis that the mean precipitation in March is equal with an error of 0.05.

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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1- According to the records of the last 15 years, the average rainfall in the Marmara Region in March is 11 cm and the standard deviation is 4 cm. In the Aegean Region, according to the records of the last 10 years, the average precipitation for the same month is 15 cm and the standard deviation is 2 cm. Assuming that the observations were taken from normally distributed masses with different variances, test the hypothesis that the mean precipitation in March is equal with an error of 0.05.
Transcribed Image Text:1- According to the records of the last 15 years, the average rainfall in the Marmara Region in March is 11 cm and the standard deviation is 4 cm. In the Aegean Region, according to the records of the last 10 years, the average precipitation for the same month is 15 cm and the standard deviation is 2 cm. Assuming that the observations were taken from normally distributed masses with different variances, test the hypothesis that the mean precipitation in March is equal with an error of 0.05.
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