a) Calculate a confidence intervals for p1 at 1% significance level. Mu= 395,625, SD=78,550. Are the confidence intervals overlapping ? Check all the necessary assumptions that are required to perform these calculations.
b) Calculate a confidence intervals for p2 at 1% significance level. Mu= 394,893, SD=73,377. Are the confidence intervals overlapping ? Check all the necessary assumptions that are required to perform these calculations.
c) Construct now the 95% confidence interval for the difference p1-p2. Could you conclude that p1 and p2 are different ? Explain your answer.