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 35 33 38 34 a. Use these data to test whether the population mean times for mixing a batch of material differ for the three manufacturers. Use α = 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 21 27 25 23 3 23 22 26 25 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 α = 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).

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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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
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
Mean Squares, Error
Calculate the value of the test statistic (to 2 decimals).
1
21
27
25
23
The p-value is less than 0.01
What is your conclusion?
Manufacturer
2
35
33
38
34
3
23
22
26
25
Conclude the mean time needed to mix a batch of material is not the same for all manufacturers
b. At the aα = 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 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 Mean Squares, Error Calculate the value of the test statistic (to 2 decimals). 1 21 27 25 23 The p-value is less than 0.01 What is your conclusion? Manufacturer 2 35 33 38 34 3 23 22 26 25 Conclude the mean time needed to mix a batch of material is not the same for all manufacturers b. At the aα = 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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