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 35 21     22 33 20     20 38 24     18 34 23     a. Use these data to test whether the population mean times for mixing a batch of material differ for the three manufacturers. Use . Compute the values below (to  decimals, if necessary).   Sum of Squares, Treatment   Sum of Squares, Error   Mean Squares, Treatment   Mean Squares, Error     Calculate the value of the test statistic (to  decimals). The -value is - Select your answer -less than 0.01between 0.01 and 0.025between 0.025 and 0.05between 0.05 and 0.10greater than 0.10Item 6 What is your conclusion? - Select your answer -Conclude the mean time needed to mix a batch of material is not the same for all manufacturersDo not reject the assumption that mean time needed to mix a batch of material is the same for all manufacturersItem 7 b. At the  level of significance, use Fisher's LSD procedure to test for the equality of the means for manufacturers  and . Calculate Fisher's LSD Value (to  decimals). What conclusion can you draw after carrying out this test? - Select your answer -These manufacturers have different mean timesCannot conclude there is a difference in the mean time for these manufacturers

Question

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 35 21  
  22 33 20  
  20 38 24  
  18 34 23  

 

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

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

 

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

 

Calculate the value of the test statistic (to  decimals).

The -value is - Select your answer -less than 0.01between 0.01 and 0.025between 0.025 and 0.05between 0.05 and 0.10greater than 0.10Item 6

What is your conclusion?
- Select your answer -Conclude the mean time needed to mix a batch of material is not the same for all manufacturersDo not reject the assumption that mean time needed to mix a batch of material is the same for all manufacturersItem 7

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

Calculate Fisher's LSD Value (to  decimals).

What conclusion can you draw after carrying out this test?
- Select your answer -These manufacturers have different mean timesCannot conclude there is a difference in the mean time for these manufacturers

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