Intro

The forklift drivers complain that picking the items for Gauteng orders is more difficult and take longer than those for Kwa-Zulu Natal orders. Sindi, on the other hand, suspects that there is no difference in the average time it takes to pick these orders' items from the racks.

Her IMM graduate informs her that he measured a total of 40 Gauteng orders, which took a total of 2560 minutes to pick with a population standard deviation of 15 minutes. He measured 35 Kwa-Zulu Natal orders, which had an average pick time of 67 minutes and a population standard deviation of 21.5 minutes.

Formulate (in words) and conduct a hypothesis to test Sindi's claim using a 10% significance level. Show all working and provide a management conclusion for the test.