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To test whether the actual mean time needed to mix a batch of material is the...

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 of the time (in minutes) needed to mix the exact same material by three different brand machines.

Machine #1 Machine #2 Machine #3
Sample Size

7

5 8
Sample Means 26 27 22
Sample Variances 22.25 28.09 18.49

a) State H0 and Ha in plain English.

b) Use an alpha of 0.05 to test whether the real average times for mixing the same batch of material differ for the three machines. What is the P-value? What are your conclusions (statistical and in plain English)?

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