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During the past 5 El Nino events, the mean sea surface temperature (SST) in Monterey Bay was 16.5 oC. The climatological SST in Monterey Bay is 15o C with a standard deviation of 1.5oC. Assume that the standard deviation of SST in El Nino years is the same as the climatological standard deviation. a)  Set up and perform a hypothesis test to determine whether El Nino increases the sea surface temperature of Monterey Bay. Use a 0.1 significance level.  b) What is the probability of error in your conclusion? State if it is a type I or type II error and its magnitude (note, if needed, you can assume the true parent population has a mean of 16.7oC).

During the past 5 El Nino events, the mean sea surface temperature (SST) in Monterey Bay was 16.5 oC. The climatological SST in Monterey Bay is 15o C with a standard deviation of 1.5oC. Assume that the standard deviation of SST in El Nino years is the same as the climatological standard deviation. a)  Set up and perform a hypothesis test to determine whether El Nino increases the sea surface temperature of Monterey Bay. Use a 0.1 significance level.  b) What is the probability of error in your conclusion? State if it is a type I or type II error and its magnitude (note, if needed, you can assume the true parent population has a mean of 16.7oC).

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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During the past 5 El Nino events, the mean sea surface temperature (SST) in Monterey Bay was 16.5 oC. The climatological SST in Monterey Bay is 15o C with a standard deviation of 1.5oC. Assume that the standard deviation of SST in El Nino years is the same as the climatological standard deviation.

a)  Set up and perform a hypothesis test to determine whether El Nino increases the sea surface temperature of Monterey Bay. Use a 0.1 significance level. 

b) What is the probability of error in your conclusion? State if it is a type I or type II error and its magnitude (note, if needed, you can assume the true parent population has a mean of 16.7oC).

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