ed in the US from 1968 to 2008. Suppose that the daily high temperature reading on January 1 was collected in 1968 and 2008 from 48 randomly selected locations in the continental US and the paired differences were calculated (2008 temperature minus 1968 temperature). The average paired difference was 0.9 degrees with a standard deviation of 4.75 degrees. We are interested in determining whether these data provide strong evidence of temperature warming in the continental

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In this problem, we consider a small set of evidence for global warming by comparing how temperatures have changed in the US from 1968 to 2008. Suppose that the daily high temperature reading on January 1 was collected in 1968 and 2008 from 48 randomly selected locations in the continental US and the paired differences were calculated (2008 temperature minus 1968 temperature). The average paired difference was 0.9 degrees with a standard deviation of 4.75 degrees. We are interested in determining whether these data provide strong evidence of temperature warming in the continental US.

(a) Calculate the standard error for the appropriate sampling distribution:  SE =  
(b) Calculate the t test statistic for the summary data given:  t = 
(c) Calculate the p-value for the appropriate t test: p = 

 

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