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 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 Mean Squares, Error Calculate the value of the test statistic (to 2 decimals). 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. The p-value is - Select your answer - What is your conclusion? - Select your answer - 1 19 25 23 21 Manufacturer What conclusion can you draw after carrying out this test? - Select your answer - 2 30 28 33 29 3 21 20 24 23 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).

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter11: Data Analysis And Displays
Section: Chapter Questions
Problem 8CR
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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
Mean Squares, Error
Calculate the value of the test statistic (to 2 decimals).
1
19
25
23
21
Manufacturer
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.
What conclusion can you draw after carrying out this test?
- Select your answer -
2
30
28
33
29
3
21
20
24
23
The p-value is - Select your answer - V
What is your conclusion?
- Select your answer -
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).
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 Mean Squares, Error Calculate the value of the test statistic (to 2 decimals). 1 19 25 23 21 Manufacturer 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. What conclusion can you draw after carrying out this test? - Select your answer - 2 30 28 33 29 3 21 20 24 23 The p-value is - Select your answer - V What is your conclusion? - Select your answer - 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).
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