Here have have 51 paired observations. It is an example of depedent sample t test.
The hypotheses are:
Null hypothesesis, H0: There is no signficant difference between the temperatures.
Aternative hypothesesis, Ha: There is a signficant difference (positive) between the temperatures.
Here paired sample t test will be used. Since sample size is large so normality can be assumed.
That is condition for the test are fullfilled.
So test statistics will be
Degree of freedom: df=n-1=51-1=50
The p-value is : 0.0579
Since p-value is greater than 0.05 so we fail to reject the null hypothesis.
That is we cannot conclude that there is evidence of temperature warming in the continental US.
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