1. To test whether the actual mean time needed to mix a batch of material is the same for machines, the Jacobs Chemical Company obtained the following random sample data on the time (in minutes) needed to mix the exact same material by four different brand machines.

Machine #1Machine # 2Machine #3Machine #4

Sample Size1010128

Sample Means24282225

Sample Variances8.257.56.57.25

a.State H0and Hain plain English.

b.Use an alpha of0.05 to test whether the real average times for mixing the same batch of material differ for the four machines. What is the P-Value?What are your conclusions (statistical and in plain English)?