# STATS - A computer systems retailer wishes to compare the average monthly sales

**KnowledgeCats**

A computer systems retailer wishes to compare the average monthly sales of its servers with Intel and AMD 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 900 840

Feb 720 700

Mar 660 600

Apr 700 680

May 900 840

Jun 860 920

Jul 760 740

Aug 1100 1080

Sep 1380 1280

Oct 920 860

Nov 880 820

Dec 780 780

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 (μ1, μ2).

c) Compute the 95% confidence interval for the difference in monthly sales μ1 − μ2.

d) Notice that the confidence intervals in part b overlap, but the confidence interval in part c does not contain μ1 − μ2 = 0. Explain the discrepancy between these two results. Which result is a better indicator of whether or not μ1 and μ2 are likely to be identical?

e) Is the sample evidence sufficient to conclude whether μ1 and μ2 are different? To answer this question, perform a hypothesis test at α = .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.

- 7 years ago

**STATS - A computer systems retailer Solution**

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### A computer systems retailer wishes to compare the average

NOT RATEDA computer systems retailer wishes to compare the average monthly sales of its servers with Intel and AMD multi-core processors. To do so, they record the number of sales of each server type for each …

6 years ago