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Climate change part II. We considered the differences between the temperature reading in Jan of 1968...

Climate change part II. We considered the differences between the temperature reading in Jan of 1968 and 2008 at 51 locations in the continental US in exercise 4.9 The mean and standard deviation of the reported differences are 1.1 degrees and 4.9 degrees Caculate a 95% CI for the average difference between the temperature measurements between 1968 and 2008.

Interpret that this interval in context

does the CI provide convincing evidence that the temperature was different in 2008 Interpret this CI in context

Does the CI provide convincing evidence that the temperature was different in 2008 than in 1968 in the continental US? Explain.

Math   Statistics-And-Probability   
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Answer #1

sample size n = 51 > 30. So, we will consider z distribution instead of t distribution

mean and standard deviation for difference are 1.1 and 4.9

z critical for 95% interval level is 1.96

No,  CI does not provide convincing evidence that the temperature was different in 2008 because 0 is included in confidence interval.

We are 95% confidence that the true differences between the temperature reading in Jan of 1968 and 2008 were between -0.195 degrees to 2.395 degrees.

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