In: Statistics and Probability
During the presidential debate in 1990, the candidate Arnold (Democratic) won 22 states and Joseph (Republican) won 26 states. We are given that the states mean/average for Arnold came out to be 13.545 of the votes with a standard deviation of 10.591. On the contrary, Joseph had an average/mean of 8.423 of the votes with a standard deviation of 6.777. Please compute a 99% Conf. Interval for # of votes in a state a Democratic wins minus the # in a state a Republican wins.
We need to construct the 99% confidence interval for the difference between the population means μ1−μ2, for the case that the population standard deviations are not known. The following information has been provided about each of the samples:
Now, we finally compute the confidence interval:
Let me know in the comments if anything is not clear. I will reply ASAP! Please do upvote if satisfied!