Alimula Company Ltd. wants to know if there is consistency in their operations. They want to know if the thickness of the insulation which covers three bands A, B and C wires which are now competing in the market have similar means. Using a sample of five randomly selected pieces of wire for each brand and carefully measuring the thickness of the insulation in millimetres (mm) the following results were obtained:- brand A brand B brand C 4.8 4.5 4.0 4.7 4.9 4.8 3.9 3.8 5.2 4.2 5.5 4.9 4.4 4.7 4.5 22.0 23.4 23.4 Calculate the total sum of squares error, (SST ) Calculate the between sample sum of squares error, (SSB ) Calculate the within sample sum of the squares error, (SSW ) Calculate the between sample mean square error, (MSB ) Calculate the within sample mean square error, (MSW ) State the null (H0) and alternative (H1) hypothesis and calculate the F-value from the test.

Name: Alimula Company Ltd. wants to know if there is consistency in their op
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Description: Alimula Company Ltd. wants to know if there is consistency in their operations. They want to know if the thickness of the insulation which covers three bands A, B and C wires which are now competing in the market have similar means. Using a sample o

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter8: Sequences, Series, And Probability

Section8.7: Probability

Problem 6E: List the sample space of each experiment. Tossing three coins

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Alimula Company Ltd. wants to know if there is consistency in their operations. They want to know if the thickness of the insulation which covers three bands A, B and C wires which are now competing in the market have similar means. Using a sample of five randomly selected pieces of wire for each brand and carefully measuring the thickness of the insulation in millimetres (mm) the following results were obtained:-

brand A brand B brand C

4.8 4.5 4.0

4.7 4.9 4.8

3.9 3.8 5.2

4.2 5.5 4.9

4.4 4.7 4.5

22.0 23.4 23.4

Calculate the total sum of squares error, (SS_T )
Calculate the between sample sum of squares error, (SS_B )
Calculate the within sample sum of the squares error, (SS_W )
Calculate the between sample mean square error, (MS_B )
Calculate the within sample mean square error, (MS_W )
State the null (H₀) and alternative (H₁) hypothesis and calculate the F-value from the test.

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