A statistical program is recommended. The Jacobs Chemical Company wants to estimate the mean time (minutes) required to mix a batch of material on machines produced by three different manufacturers. To limit the cost of testing, four batches of material were mixed on machines produced by each of the three manufacturers. The times needed to mix the material follow. Manufacturer 1 1 21 25 23 (a) Define all variables. 0 27 %₂ 0 Manufacturer 2 Manufacturer 3 Ho! Po H₂! A-O 27 25 30 26 Manufacturer 1 2 19 18 22 21 Write a multiple regression equation that can be used to analyze the data. (b) What are the best estimates of the coefficients in your regression equation? (c) In terms of the regression equation coefficients, what hypotheses must we test to see whether the mean time to mix a batch of material is the same for all three manufacturers? OH! A-O Hoi A₁ ₂0 H: One or more of the parameters is not equal to zero. OH: One or more of the parameters is not equal to zero. H₂P₁ 1₂0 (d) for an a= 0.05 level of significance, test to see whether the mean time to mix a batch of material is the same for all three manufacturers. Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) p-value= What is your conclusion? O Do not reject Ho. We cannot conclude that the mean time to mix a batch of material is not the same for each manufacturer. O Do not reject Ho. We conclude that the mean time to mix a batch of material is not the same for each manufacturer. O Reject H. We cannot conclude that the mean time to mix a batch of material is not the same for each manufacturer Reject Mo We conclude that the mean time to mix a batch of material is not the same for each manufacturer
A statistical program is recommended. The Jacobs Chemical Company wants to estimate the mean time (minutes) required to mix a batch of material on machines produced by three different manufacturers. To limit the cost of testing, four batches of material were mixed on machines produced by each of the three manufacturers. The times needed to mix the material follow. Manufacturer 1 1 21 25 23 (a) Define all variables. 0 27 %₂ 0 Manufacturer 2 Manufacturer 3 Ho! Po H₂! A-O 27 25 30 26 Manufacturer 1 2 19 18 22 21 Write a multiple regression equation that can be used to analyze the data. (b) What are the best estimates of the coefficients in your regression equation? (c) In terms of the regression equation coefficients, what hypotheses must we test to see whether the mean time to mix a batch of material is the same for all three manufacturers? OH! A-O Hoi A₁ ₂0 H: One or more of the parameters is not equal to zero. OH: One or more of the parameters is not equal to zero. H₂P₁ 1₂0 (d) for an a= 0.05 level of significance, test to see whether the mean time to mix a batch of material is the same for all three manufacturers. Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) p-value= What is your conclusion? O Do not reject Ho. We cannot conclude that the mean time to mix a batch of material is not the same for each manufacturer. O Do not reject Ho. We conclude that the mean time to mix a batch of material is not the same for each manufacturer. O Reject H. We cannot conclude that the mean time to mix a batch of material is not the same for each manufacturer Reject Mo We conclude that the mean time to mix a batch of material is not the same for each manufacturer
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
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Transcribed Image Text:A statistical program is recommended.
The Jacobs Chemical Company wants to estimate the mean time (minutes) required to mix a batch of material on machines produced by three different manufacturers. To
limit the cost of testing, four batches of material were mixed on machines produced by each of the three manufacturers. The times needed to mix the material follow.
Manufacturer 1 Manufacturer 2 Manufacturer 3
1
21
0
P₂-
27
(a) Define all variables.
X₁
25
23
X₂
0
Moi Bo = 0
H₂:0
27
Ho: Poo
H₂: Po=0
25
30
26
Manufacturer
1
2
3
19
18
Write a multiple regression equation that can be used to analyze the data.
E(y) =
22
(b) What are the best estimates of the coefficients in your regression equation?
Po -
21
(c) In terms of the regression equation coefficients, what hypotheses must we test to see whether the mean time to mix a batch of material is the same for all three
manufacturers?
Hoi B₁-B₂=0
H: One or more of the parameters is not equal to zero.
OH: One or more of the parameters is not equal to zero.
(d) for an a= 0.05 level of significance, test to see whether the mean time to mix a batch of material is the same for all three manufacturers.
Find the value of the test statistic. (Round your answer to two decimal places.)
Find the p-value. (Round your answer to three decimal places.)
p-value=
What is your conclusion?
O Do not reject Ho. We cannot conclude that the mean time to mix a batch of material is not the same for each manufacturer.
O Do not reject Ho. We conclude that the mean time to mix a batch of material is not the same for each manufacturer.
O Reject Ho We cannot conclude that the mean time to mix a batch of material is not the same for each manufacturer.
Reject Ho. We conclude that the mean time to mix a batch of material is not the same for each manufacturer.
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Step 1: Write the given information.
VIEWStep 2: Define all the variables and write the multiple regression equation.
VIEWStep 3: Determine the best estimates of coefficients in your regression equation.
VIEWStep 4: State hypothesis for testing whether mean time to mix a batch is same for all three manufacturers.
VIEWStep 5: Perform hypothesis to check whether mean time to mix batches is not same for each manufacturer.
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