# 50) A vending machine company wants to check three of its machines to determine if they50)are properly dispensing 12 ounces of coffee. Their data is given below.Machine AMachine CMachine B11.811.712.212.111.912.112.012.011.711.911.811.912.212.012.1Compute the test value for the coffee machines.B) 2.259 5.06D) 4.86A) 6.62

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Step 1

Let µ1, µ2 and µ3 are the population mean of Machines A, B and C.

The hypothesis can be constructed as:

Null hypothesis, H0: µ1= µ2= µ3

Alternative hypothesis, Ha: (At least two µi’s are not equal.)

From the provided information, the number of treatments (k) = 3

Sample size (n1= n2= n3) = 5

The sample mean of all treatments can be obtained as:

Step 2

The total number of observations can be obtained as:

N = n1+ n2+ n3

= 5+5+5

= 15

The grand total can be obtained as:

Step 3

The total sum of square c...

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