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 0.05 significance level. b) Use the P value approach to perform the above hypothesis testing. Again use a significant level of 0.05. c) Calculate the 95% confidence interval for the population m
During the past 5 El Nino
a) Set up and perform a hypothesis test to determine whether El Nino increases the sea surface temperature of Monterey Bay. Use a 0.05 significance level.
b) Use the P value approach to perform the above hypothesis testing. Again use a significant level of
0.05.
c) Calculate the 95% confidence interval for the population mean SST in El Nino years.
Based on this result, should you claim (at 0.05 significance level) that the Monterey Bay SST was
affected by El Nino?
d) What is the
magnitude (note, if needed, you can assume the true parent population has a mean of 16.7oC).
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