o test whether the mean time needed to mix a batch of material is the same for machines produced by three manufacturers, the Jacobs Chemic Company obtained the following data on the time (in minutes) needed to mix the material. Compute the values below (to 2 decimals, if necessary). Sum of Squares, Treatment Sum of Squares, Error 34 32 37 33 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. Mean Squares, Treatment xx 1 19 25 23 21 Mean Squares, Error Calculate the value of the test statistic (to 2 decimals). Manufacturer 2 What conclusion can you draw after carrying out this test? 3 16 15 19 18 The p-value is less than 0.01 What is your conclusion? Conclude the mean time needed to mix a batch of material 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). 7.41

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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.
Compute the values below (to 2 decimals, if necessary).
Sum of Squares, Treatment
Sum of Squares, Error
Mean Squares, Treatment
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.
X
Mean Squares, Error
Calculate the value of the test statistic (to 2 decimals).
1
19
25
23
21
7.41
Manufacturer
2
34
32
37
33
What conclusion can you draw after carrying out this test?
The
Hint(s) Check My Work
3
16
15
19
18
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).
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. Compute the values below (to 2 decimals, if necessary). Sum of Squares, Treatment Sum of Squares, Error Mean Squares, Treatment 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. X Mean Squares, Error Calculate the value of the test statistic (to 2 decimals). 1 19 25 23 21 7.41 Manufacturer 2 34 32 37 33 What conclusion can you draw after carrying out this test? The Hint(s) Check My Work 3 16 15 19 18 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). S
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