ReduX Corporation is planning to change their management program. The company needs to choose on one out of four different management programs provided by four different programming companies. Before making decision, ReduX sent eight employees to attend the training provided by the four programming companies. At the end of each training, the employees had to record the time taken (in minutes) to complete the same task. The results show that the sum of squares time taken is 61.467 and the mean of squares time taken within a programming company is 275.539. ReduX then compares the results to see if there are any differences in the average time taken to complete the same task.

a. Use the provided information to prepare the analysis of variance table.
b. Test the null hypothesis that the population mean time taken to complete a task are the same for all the four different programming.