In: Statistics and Probability
Test the hypothesis with a significance level (alpha) of .05 that the climate has changed since industrialization. Suppose that the mean temperature throughout history is 52 degrees. During the last 30 years, the mean temperature has been 53 degrees and suppose the population standard deviation is 2 degrees. What can we conclude? Then construct a 95 percent confidence interval for the population mean.
Note : We have used 53 as sample mean because we have concluded from test that our null hypothesis is rejected.