Question

In: Statistics and Probability

During the presidential debate in 1990, the candidate Arnold (Democratic) won 22 states and Joseph (Republican)...

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.

Solutions

Expert Solution

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!


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