ATMS 391: Geophysical Data Analysis
Homework 9
Problem 1. Using the August Chicago data, test the hypothesis that the means of hourly temperature for the first half of the month are equal to the second half of the month. Use 00Z on Aug 15 as the start of the second half of the month. Compute p values, assuming the Gaussian distribution is an adequate approximation to the null distribution of the test statistic.
The p-value is quite small, so we can reject the null hypothesis of equal means.
Problem 2. (a) Using the same dataset, calculate the correlation coefficient between hourly temperature and dewpoint for August 2015.
Dewpoint | Temperature | |
---|---|---|
Dewpoint | 1.000000 | 0.401586 |
Temperature | 0.401586 | 1.000000 |
(b) Is this correlation statistically significant at the 99% level?
p-value is less than 0.01, so there is statistically significant at 99% level.
(c) Repeat (a) and (b) for daytime temperatures only (6 AM-6PM local time). Does your conclusion change?
p-value is larger than 0.01, so there is no statistically significant at 99% level.