Employees who work with electronic components at Canadian Automated Electronics are required to undergo special training. Training includes completing tasks under simulated conditions and recording completion times. A supervisor claims he has found some star performers among a new group of trainees.
a. Based on the data shown, test the claim at the 0.01 significance level that the star-performers group has a mean completion time less than the other group (based on data from Canadian Automated Electronics). The assumption of equal variances for the groups has been rejected (p < 0.01).
b. Construct a 99% confidence interval estimate of the difference between the mean task completion time for the two groups.
Star performers: n = 15, x - 286, s = 71.93
Other trainees: n = 10, X - 873.7, s = 259.26