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 propose 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 = 12,120; SSTR = 4,540. (a) Set up the ANOVA table for this problem. (Round your values for MSE and Fto two decimal places, and your p-value to four decimal places.) Source of Variation Sum of Squares Degrees of Freedom Mean Square p-value Treatments 4540 2270 9.88 Error 7580 33 229.70 Total 12120 35 (b) Use a- 0.0s to test for any significant difference in the means for the three assembly methods. State the null and alternative hypotheses. Ho: Not all the population means are equal. Họ: At least two of the population means are equal. Hạ: At least two of the population means are different. Họ: "1" 2- 3 Hại 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.)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
100%
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 = 12,120; SSTR = 4,540.
(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
Mean
Degrees
of Freedom
F
p-value
of Variation
of Squares
Square
Treatments
4540
2270
9.88
Error
7580
33
229.70
Total
12120
35
(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.
Ho: H1 = "2 = H3
Ha: H1 * 42 + H3
Ho: H1 # H2 # 43
Ha: H1 = #2 = #3
Ho: Not all the population means are equal.
Ha: H1 = 42 = #3
Ho: At least two of the population means are equal.
Ha: At least two of the population means are different.
Ho: H1 = "2 = H3
Ha: 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 =
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 = 12,120; SSTR = 4,540. (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 Mean Degrees of Freedom F p-value of Variation of Squares Square Treatments 4540 2270 9.88 Error 7580 33 229.70 Total 12120 35 (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. Ho: H1 = "2 = H3 Ha: H1 * 42 + H3 Ho: H1 # H2 # 43 Ha: H1 = #2 = #3 Ho: Not all the population means are equal. Ha: H1 = 42 = #3 Ho: At least two of the population means are equal. Ha: At least two of the population means are different. Ho: H1 = "2 = H3 Ha: 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 =
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Similar questions
  • SEE MORE 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