A computer systems retailer wishes to compare the average monthly sales of its servers with Intel andAMD multi-core processors. To do so, they record the number of sales of each server type for each of the last 12 months:

Month	Intel	AMD
Jan	1900	1860
Feb	1720	1720
Mar	1660	1720
Apr	1700	1530
May	1900	1880
Jun	1860	1790
Jul	1760	1740
Aug	2100	2090
Sept	2380	2310
Oct	1920	1790
Nov	2000	1790
Dec	1800	1700

a) For this dataset, why should the company use a paired difference analysis instead of an independent samples analysis?

b) Compute the 95% confidence interval for the average monthly sales of each server type (1, 2).c) Compute the 95% confidence interval for the difference in monthly sales 1 2.

d) Notice that the confidence intervals in part b overlap, but the confidence interval in part c does not contain 1 2 = 0. Explain the discrepancy between these two results. Which result is a better indicator of whether or not 1 and 2 are likely to be identical?

e) Is the sample evidence sufficient to conclude whether 1 and 2 are different? To answer this question,perform a hypothesis test at = .05. You should state the alternative and null hypotheses, compare the observed t-score to the t-score threshold, estimate the p-value, and state the conclusion of the test.