Question
Is there strong evidence of global warming? Let's consider a small scale example, comparing how temperatures have changed in the US from 1968 to 2008.
Is there strong evidence of global warming? Let's consider a small scale example, comparing how temperatures have changed in the US from 1968 to 2008. The daily high temperature reading on January 1 was collected in 1968 and 2008 for 51 randomly selected locations in the continental US. Then the difference between the two readings (temperature in 2008 - temperature in 1968) was calculated for each of the 51 different locations. The average of these 51 values was 1.1 degrees with a standard deviation of 4.9 degrees. We are interested in determining whether these data provide strong evidence of temperature warming in the continental US.
- Is there a relationship between the observations collected in 1968 and 2008? Or are the observations in the two groups independent? Explain
- Write hypotheses for this research in symbols and in words.
- Check the conditions required to finish this test.
- Calculate the test statistic and find the p-value.
- What do you conclude? Interpret your conclusion in context.
- Based on the results of this hypothesis test, would you expect a confidence interval for the average difference between the temperature measurements from 1968 and 2008 to include 0? Explain your reasoning.
- Calculate the 90%, 95%, 99% Confidence Interval. Is this result surprising based on your answer to the previous question? Why/Why not?
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