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Testing the Claim that Software Problems Take Longer to Resolve

A computer manufacturer offers a help line that purchasers 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.

Monitored "software calls: 35
Mean time to resolve (mins.) 18
Standard deviation(minutes) 4.2

Monitored "hardware" calls: 45
Mean time to resolve (mins) 15.5
Standard deviation (minutes) 3.9

At the .05 level of significance level,is it reasonable to conclude that it takes longer to resolve software issues and and what is the p-value?