vay that each method was used by 12 workers. The number of units assembled correctly was recorded, and the analysis of variance procedure was applied (a) Set up the ANOVA table for this problem. (Round your values for MSE and F to two decimal places, and your p-value to four decimal places.) Source Sum Degrees of Freedom Mean p-value of Variation of Squares Square Treatments Error Total (b) Use a = 0.05 to test for any significant difference in the means for the three assembly methods. State the null and alternative hypotheses. O Hoi At least two of the population means are equal. H: At least two of the population means are different. O Hoi Hy = Hz = Hg O Ho: Not all the population means are equal. Hi Hz = Hz = Hy O Hoi Hy = Hz = Hg H: Not all the population means are equal. Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. O Do not reject H- There is sufficient evidence to conclude that the means of the three assembly methods are not equal. O Reject Hg. There is not sufficient evidence to conclude that the means of the three assembly methods are not equal. O Reject Ha. There is sufficient evidence to conclude that the means of the three assembly methods are not equal.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section: Chapter Questions
Problem 8SGR
icon
Related questions
Question
Three different methods for assembling a product were proposed by an industrial engineer. To investigate the number of units assembled correctly with each method, 36 employees were randomly selected and randomly assigned to the three proposed methods in such a
way that each method was used by 12 workers. The number of units assembled correctly was recorded, and the analysis of variance procedure was applied to the resulting data set. The following results were obtained: SST = 12,410; SSTR = 4,550.
(a) Set up the ANOVA table for this problem. (Round your values for MSE and F to two decimal places, and your p-value to four decimal places.)
Degrees
of Freedom
Source
Sum
Mean
p-value
of Variation
of Squares
Square
Treatments
Error
Total
(b) Use a = 0.05 to test for any significant difference in the means for the three assembly methods.
State the null and alternative hypotheses.
O H,: At least two of the population means are equal.
H.: At least two of the population means are different.
O Ho: H1 # Hz# Hz
Ha: H1 = H2 = H3
O Ho: H1 = H2 = H3
O Ho: Not all the population means are equal.
H3: H1 = Hz = H3
O Ho: H, = H2 = H3
H: Not all the population means are equal.
Find the value of the test statistic. (Round your answer to two decimal places.)
Find the p-value. (Round your answer to four decimal places.)
p-value =
State your conclusion.
O Do not reject Ho: There is sufficient evidence to conclude that the means of the three assembly methods are not equal.
O Reject H,. There is not sufficient evidence to conclude that the means of the three assembly methods are not equal.
O Reject Ho. There is sufficient evidence to conclude that the means of the three assembly methods are not equal.
O Do not reject H.. There is not sufficient evidence to conclude that the means of the three assembly methods are not equal.
Transcribed Image Text:Three different methods for assembling a product were proposed by an industrial engineer. To investigate the number of units assembled correctly with each method, 36 employees were randomly selected and randomly assigned to the three proposed methods in such a way that each method was used by 12 workers. The number of units assembled correctly was recorded, and the analysis of variance procedure was applied to the resulting data set. The following results were obtained: SST = 12,410; SSTR = 4,550. (a) Set up the ANOVA table for this problem. (Round your values for MSE and F to two decimal places, and your p-value to four decimal places.) Degrees of Freedom Source Sum Mean p-value of Variation of Squares Square Treatments Error Total (b) Use a = 0.05 to test for any significant difference in the means for the three assembly methods. State the null and alternative hypotheses. O H,: At least two of the population means are equal. H.: At least two of the population means are different. O Ho: H1 # Hz# Hz Ha: H1 = H2 = H3 O Ho: H1 = H2 = H3 O Ho: Not all the population means are equal. H3: H1 = Hz = H3 O Ho: H, = H2 = H3 H: Not all the population means are equal. Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. O Do not reject Ho: There is sufficient evidence to conclude that the means of the three assembly methods are not equal. O Reject H,. There is not sufficient evidence to conclude that the means of the three assembly methods are not equal. O Reject Ho. There is sufficient evidence to conclude that the means of the three assembly methods are not equal. O Do not reject H.. There is not sufficient evidence to conclude that the means of the three assembly methods are not equal.
Expert Solution
steps

Step by step

Solved in 3 steps

Blurred answer
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill