The mean time it takes a technician to resolve a software issue is 18 minutes wi

Question

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 random sample of 10 monitored calls. A sample of 15 monitored calls revealed a mean time for a technician to resolve hardware problem was 15.5 minutes with a standard deviation of 3.9 minutes. Assume the populations are normally distributed with equal variances. At the 0.05 significance level, does it take longer to resolve software issues? Select the appropriate alternative hypothesis.

Explanation / Answer

Solution:-

State the hypotheses. The first step is to state the null hypothesis and an alternative hypothesis.

Null hypothesis: Software< Hardware

Alternative hypothesis: Software > Hardware

Note that these hypotheses constitute a one-tailed test.

Formulate an analysis plan. For this analysis, the significance level is 0.05. Using sample data, we will conduct a two-sample t-test of the null hypothesis.

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