Question

a computer manufacturer offers technical support that is available 24 hours a day, 7 days a week. timely resolution of these calls is important to the company's image. for 35 calls that were related to software, technicians resolved the issues in a mean time of 18 minutes with a standard deviation of 4.2 minutes. for 45 calls related to hardware, technicians resolved the problems in a mean time of 15.5 minutes with a standard deviation of 3.9 minutes. at the .05 significance level, does it take longer to resolve software issues? what are the null and alternative hypothesis?

Answer 1

To determine if it takes longer to resolve software issues, we can conduct a hypothesis test. The null hypothesis (H0) would be that there is no difference in the mean time to resolve software and hardware issues. The alternative hypothesis (Ha) would be that it takes longer to resolve software issues.

Step-by-step explanation:

To determine if it takes longer to resolve software issues, we can conduct a hypothesis test. The null hypothesis (H0) would be that there is no difference in the mean time to resolve software and hardware issues. The alternative hypothesis (Ha) would be that it takes longer to resolve software issues.

We can use a two-sample t-test to compare the mean times. The t-test compares the means and takes into account the sample sizes and standard deviations. We can calculate the test statistic and compare it to the critical value at the .05 significance level to determine if there is enough evidence to reject the null hypothesis.

If the test statistic is larger than the critical value, we can reject the null hypothesis and conclude that it takes longer to resolve software issues. If the test statistic is smaller, we fail to reject the null hypothesis and do not have enough evidence to conclude that it takes longer to resolve software issues.