A computer manufacturer offers a help line that purchases can call for help 24 h

Question

A computer manufacturer offers a help line that purchases can call for help 24 hours a day, 7 days a week. Clearing these calls for help in a timely fashion is important to the company's image. After telling the caller that resolution of the problem is important the caller is asked whether the issue is software or hardware related issue. The mean time it takes a technician to resolve a software issue is 18 minutes with a standard deviation of 4.2 minutes. This information was obtained from a sample of 35 monitored calls. For a study of 45 hardware issues, the mean time for the technician to resolve the problem was 15.5 minutes with a standard deviation of 3.9 minutes. This information was also obtained from monitored calls. At the .05 significance level does it take longer to resolve software issues? What is the p-value?

Explanation / Answer

Does it Take Longer to Resolve Software issues? Step 1 H0 : Mu1         Mu2 One tail test =======> On Upper Side==>>> Step 2 Alpha = 0.05 Step 3 We must use tdistribution because both sigmas are not known We must assumethat the two distributions are Normal The 2 sampleddistributions must be independent We must assumethat the 2 sigmas from the populations are equal (we learn how totest this in chapter 12) Critical Value = 1.664624645 Step 4 If our calculated Test Statisticis greater than 1.66 then we reject H0 and accept H1, otherwise wefail to reject H0 Step 5 Pooled Variance (Weighted Mean of 2) 16.26923077 Calculated Test Statistic= 2.750120887 p-value ???? Because our calculated Test Statistic ismuch greater than our Critical Value, We reject H0 and accept H1.It is quite reasonable to conclude that it takes longer to resolvesoftware problems by phone than it does to resolve hardwareproblems by phone.

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