Hypothesis Testing Term Paper

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global warming. One of the arguments in favor of this being an issue is that temperatures have increased over time, since humans began burning fossil fuels. There are a number of ways to look at the issue, but one thing that has not received much consideration is that baseline data, which is taken from urban areas, may be skewed by other factors besides anthropogenic global warming. One factor that has not yet been studied is the effect of cloudy days vs. sunny days on the temperature readings. To investigate whether there is any merit to this idea, we need test two hypotheses. The first is whether or not the weather in the region makes a difference to the mean daily temperatures that are recorded. The second is whether or not there has been a change in weather patterns (for example, if the pollution from our cities has brought about more cloudy days). We have only looked at the first test.

The first test is whether or not cloudiness affects the mean temperature. The null hypothesis for this test is that cloudy days are warmer than sunny days in winter, and cooler than sunny days in the summer.
This hypothesis will be tested with 20 years' worth of data from LaGuardia Airport in New York City.

The results of these tests support the null hypothesis for the summer, and reject it for the winter. It has been found that the mean daily temperature on sunny days is 0.2 degrees warmer than the mean daily temperature in the summer, but on cloudy days it is 2.4 degrees cooler, with a p-value of 0.043, which indicates that this value is significant. The winter data did not show a high degree of variation in the mean temperature, so cloudy cover is not a good predictor of temperature in the winter.

The key to understanding the statistical test is to recognize that the data set used was sufficiently large. The population was for the history of the city, but the sample was the last 20 years. By running data with such a large set, one can have confidence in the outputs. There are definitely limits to the application of this data, however, to the original problem. It is unlikely that upholding the significance of the….....

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