A company collects data on the lengths of telephone calls made by employees in two different divisions. The sample mean and the sample standard deviation for the sales division are 10.26 and 8.56, respectively. The sample mean and sample standard deviation for the shipping and receiving division are 6.93 and 4.93, respectively. A hypothesis test was run, and the computer output follows.

Degrees of freedom \(=56\)

Confidence interval limits \(=-0.18979,6.84979\)

Test statistic \(t=1.89566\)

Critical value \(t=-2.0037,2.0037\)

\(P\)-value \(=0.06317\)

Significance level \(=0.05\)

1. Are the samples independent or dependent?

2. Which number from the output is compared to the significance level to check if the null hypothesis should be rejected?

3. Which number from the output gives the probability of a type I error?

4. Was a right-, left-, or two-tailed test done? Why?

5 . What are your conclusions?

6. What would your conclusions be if the level of significance were initially set at 0.10 ?