Homework Help is Here – Start Your Trial Now!
Math
Statistics
To test whether the mean time needed to mix a batch of material is the same for machines produced by three manufacturers, a chemical company obtained the following data on the time (in minutes) needed to mix the material. Manufacturer 1 2 3 20 28 19 25 26 20 23 30 24 20 32 21 (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. State the null and alternative hypotheses. O Ho: At least two of the population means are equal. H: At least two of the population means are different. Hoi H1 H₂ H3 H₂H₁ H₂ H3 Ho: H₁ H₂ H3 H: Not all the population means are equal. OH: Not all the population means are equal. H₁₂H₁ H₂ H3 Hoi H₂H₂ H3 H₂H₁ H₂ H3 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= State your conclusion. O Reject Ho. There is not sufficient evidence to conclude that the mean time needed to mix a batch of material is not the same for each manufacturer. O Do not reject Ho. There is sufficient evidence to conclude that the mean time needed to mix a batch of material is not the same for each manufacturer. O Do not reject Ho. There is not sufficient evidence to conclude that the mean time needed to mix a batch of material is not the same for each manufacturer. O Reject H. There is sufficient evidence to conclude that the mean time needed to mix a batch of material is not the same for each manufacturer. (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. Find the value of LSD. (Round your answer to two decimal places.) LSD = Find the pairwise absolute difference between sample means for manufacturers 1 and 3. What conclusion can you draw after carrying out this test? O There is a significant difference between the means for manufacturer 1 and manufacturer 3. O There is not a significant difference between the means for manufacturer 1 and manufacturer 3.

To test whether the mean time needed to mix a batch of material is the same for machines produced by three manufacturers, a chemical company obtained the following data on the time (in minutes) needed to mix the material. Manufacturer 1 2 3 20 28 19 25 26 20 23 30 24 20 32 21 (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. State the null and alternative hypotheses. O Ho: At least two of the population means are equal. H: At least two of the population means are different. Hoi H1 H₂ H3 H₂H₁ H₂ H3 Ho: H₁ H₂ H3 H: Not all the population means are equal. OH: Not all the population means are equal. H₁₂H₁ H₂ H3 Hoi H₂H₂ H3 H₂H₁ H₂ H3 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= State your conclusion. O Reject Ho. There is not sufficient evidence to conclude that the mean time needed to mix a batch of material is not the same for each manufacturer. O Do not reject Ho. There is sufficient evidence to conclude that the mean time needed to mix a batch of material is not the same for each manufacturer. O Do not reject Ho. There is not sufficient evidence to conclude that the mean time needed to mix a batch of material is not the same for each manufacturer. O Reject H. There is sufficient evidence to conclude that the mean time needed to mix a batch of material is not the same for each manufacturer. (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. Find the value of LSD. (Round your answer to two decimal places.) LSD = Find the pairwise absolute difference between sample means for manufacturers 1 and 3. What conclusion can you draw after carrying out this test? O There is a significant difference between the means for manufacturer 1 and manufacturer 3. O There is not a significant difference between the means for manufacturer 1 and manufacturer 3.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
See similar textbooks
icon
Related questions
Question
To test whether the mean time needed to mix a batch of material is the same for machines produced by three manufacturers, a chemical company obtained the following data on the time (in minutes) needed to mix the material. Manufacturer 1 20 23 2 20 3 25 26 20 28 19 30 24 32 21 (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. State the null and alternative hypotheses. O Ho: At least two of the population means are equal. Ha: At least two of the population means are different. о но M1 # M2 # M3 на: M1 = H2 = M3 Ho H = H2 = H3 H: Not all the population means are equal. OH: Not all the population means are equal. H ¹a²H₁ = H₂ = μ3 оно: М1 = M2 = из на: M1 # M2 # из 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 = State your conclusion. O Reject Ho. There is not sufficient evidence to conclude that the mean time needed to mix a batch of material is not the same for each manufacturer. O Do not reject Ho. There is sufficient evidence to conclude that the mean time needed to mix a batch of material is not the same for each manufacturer. O Do not reject Ho. There is not sufficient evidence to conclude that the mean time needed to mix a batch of material is not the same for each manufacturer. O Reject Ho. There is sufficient evidence to conclude that the mean time needed to mix a batch of material is not the same for each manufacturer. (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. Find the value of LSD. (Round your answer to two decimal places.) LSD = Find the pairwise absolute difference between sample means for manufacturers 1 and 3. What conclusion can you draw after carrying out this test? O There is a significant difference between the means for manufacturer 1 and manufacturer 3. O There is not a significant difference between the means for manufacturer 1 and manufacturer 3.
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, a chemical company obtained the following data on the time (in minutes) needed to mix the material. Manufacturer 1 20 23 2 20 3 25 26 20 28 19 30 24 32 21 (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. State the null and alternative hypotheses. O Ho: At least two of the population means are equal. Ha: At least two of the population means are different. о но M1 # M2 # M3 на: M1 = H2 = M3 Ho H = H2 = H3 H: Not all the population means are equal. OH: Not all the population means are equal. H ¹a²H₁ = H₂ = μ3 оно: М1 = M2 = из на: M1 # M2 # из 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 = State your conclusion. O Reject Ho. There is not sufficient evidence to conclude that the mean time needed to mix a batch of material is not the same for each manufacturer. O Do not reject Ho. There is sufficient evidence to conclude that the mean time needed to mix a batch of material is not the same for each manufacturer. O Do not reject Ho. There is not sufficient evidence to conclude that the mean time needed to mix a batch of material is not the same for each manufacturer. O Reject Ho. There is sufficient evidence to conclude that the mean time needed to mix a batch of material is not the same for each manufacturer. (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. Find the value of LSD. (Round your answer to two decimal places.) LSD = Find the pairwise absolute difference between sample means for manufacturers 1 and 3. What conclusion can you draw after carrying out this test? O There is a significant difference between the means for manufacturer 1 and manufacturer 3. O There is not a significant difference between the means for manufacturer 1 and manufacturer 3.
Expert Solution
steps

Step by step

Solved in 4 steps with 1 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman
SEE MORE TEXTBOOKS