To test whether the mean time needed to mix a batch of material is the same for machines produced by three manufacturers, the Jacobs Chemical Company obtained the following data on the time (in minutes) needed to mix the material.   Manufacturer   1 2 3     16 26 20     22 24 19     20 29 23     18 25 22 a. Use these data to test whether the population mean times for mixing a batch of material differ for the three manufacturers. Use x = 0.05. Compute the values below (to 2 decimals, if necessary).   Sum of Squares, Treatment   Sum of Squares, Error   Mean Squares, Treatment   Mean Squares, Error   Calculate the value of the test statistic The p-value is ? b. At the x = 0.05 level of significance, use Fisher's LSD procedure to test for the equality of the means for manufacturers 1 and 3. Calculate Fisher's LSD Value (to 2 decimals).

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter29: Tolerance, Clearance, And Interference
Section: Chapter Questions
Problem 16A: Spacers are manufactured to the mean dimension and tolerance shown in Figure 29-12. An inspector...
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To test whether the mean time needed to mix a batch of material is the same for machines produced by three manufacturers, the Jacobs Chemical Company obtained the following data on the time (in minutes) needed to mix the material.

 

Manufacturer

  1 2 3  
  16 26 20  
  22 24 19  
  20 29 23  
  18 25 22

a. Use these data to test whether the population mean times for mixing a batch of material differ for the three manufacturers. Use x = 0.05.

Compute the values below (to 2 decimals, if necessary).

 

Sum of Squares, Treatment  
Sum of Squares, Error  
Mean Squares, Treatment  
Mean Squares, Error  

Calculate the value of the test statistic

The p-value is ?

b. At the x = 0.05 level of significance, use Fisher's LSD procedure to test for the equality of the means for manufacturers 1 and 3.

Calculate Fisher's LSD Value (to 2 decimals).

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