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 Compar obtained the following data on the time (in minutes) needed to mix the material. 3 16 27 15 25 19 23 18 a. Use these data to test whether the population mean times for mixing a batch of material differ for the three manufacturers. Use a = 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 (to 2 decimals). 1 What conclusion can you draw after carrying out this test? Manufacturer 21 N2222 27 25 30 26 The p-value is less than 0.01 What is your conclusion? Conclude the mean time needed to mix a batch of material is not the same for all manufacturers b. At the a 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). [⑤

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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.
2
3
21
27
16
27
25
15
25
30
19
23
26
18
a. Use these data to test whether the population mean times for mixing a batch of material differ for the three manufacturers. Use a = 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 (to 2 decimals).
Manufacturer
1
What conclusion can you draw after carrying out this test?
These manufacturers have different mean times
The p-value is less than 0.01
What is your conclusion?
Conclude the mean time needed to mix a batch of material is not the same for all manufacturers
b. At the a 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).
asete
S
Transcribed Image Text: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. 2 3 21 27 16 27 25 15 25 30 19 23 26 18 a. Use these data to test whether the population mean times for mixing a batch of material differ for the three manufacturers. Use a = 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 (to 2 decimals). Manufacturer 1 What conclusion can you draw after carrying out this test? These manufacturers have different mean times The p-value is less than 0.01 What is your conclusion? Conclude the mean time needed to mix a batch of material is not the same for all manufacturers b. At the a 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). asete S
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