The manager of a door-making company would like to estimate theamount of time it takes for a piece of wood to be moved, cut, andpackaged at two different plants. At Plant A, the manager observed21 pieces that processed with an average time of 14.2 minutes andstandard deviation of 2.6 minutes. At the second plant, the managerobserved 19 pieces with an average time of 13.1 minutes with astandard deviation of 1.9 minutes.
a. Test whether there is a difference between mean process timesof Plants A and B with an assumed ? = 0.1. State your conclusionproperly with context.
b. What three assumptions are required to perform the abovetest?
c. Using the above information and ? = 0.1 significance level,test to see if the plants have different variability. State yourconclusion properly with context.
