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. 3 15 14 18 28 17 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 338.67 Sum of Squares, Error Mean Squares, Treatment 44 169.33 4.89 1 20 26 24 22 Mean Squares, Error Calculate the value of the test statistic (to 2 decimals). Manufacturer 2 29 27 32

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter1: Expressions And Functions
Section1.5: Descriptive Modeling And Accuracy
Problem 4CYU
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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 338.67
Sum of Squares, Error
Mean Squares, Treatment
44
The p-value is less than 0.01
What is your conclusion?
169.33
Mean Squares, Error
Calculate the value of the test statistic (to 2 decimals).
34.64
4.89
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).
What conclusion can you draw after carrying out this test?
These manufacturers have different mean times
Transcribed Image Text: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 338.67 Sum of Squares, Error Mean Squares, Treatment 44 The p-value is less than 0.01 What is your conclusion? 169.33 Mean Squares, Error Calculate the value of the test statistic (to 2 decimals). 34.64 4.89 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). What conclusion can you draw after carrying out this test? These manufacturers have different mean times
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 338.67
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
44
169.33
1
20
26
24
22
Mean Squares, Error
Calculate the value of the test statistic (to 2 decimals).
34.64
4.89
Manufacturer
2
29
27
32
28
3
15
14
18
17
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 338.67 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 44 169.33 1 20 26 24 22 Mean Squares, Error Calculate the value of the test statistic (to 2 decimals). 34.64 4.89 Manufacturer 2 29 27 32 28 3 15 14 18 17
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