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

Question

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. 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?

State the Ho and H1

Find the p-value

Conclusion: (a) Reject Ho and accept H1 or (b) cannot reject Ho at the desired level of significance.

Submit software output to support your answers.

Assume equal variances for two sample

Explanation / Answer

Using Minitab :

Two-Sample T-Test and CI

Sample N Mean StDev SE Mean

1 35 18.00 4.20 0.71
2 45 15.50 3.90 0.58

Difference = (1) - (2)
Estimate for difference: 2.500
95% CI for difference: (0.690, 4.310)
T-Test of difference = 0 (vs ): T-Value = 2.75 P-Value = 0.007 DF = 78
Both use Pooled StDev = 4.0335

P Value = 0.007

Evidence to show that the value of P value is lessthan 0.05 significant level. So, we reject H0.

Conclusion : a) Reject H0 and Accept H1

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