Three different assembly methods have been proposed for a new product. A completely randomized experimental design was chosen to determine which assembly method results in the greatest number of parts produced per hour, and 30 workers were randomly selected and assigned to use one of the proposed methods. The number of units produced by each worker follows. Method A B C 96 92 99 72 99 94 94 92 88 99 56 66 74 78 60 90 92 76 100 85 85 87 72 72 91 91 88 107 83 72 #1) Use these data and test to see whether the mean number of parts produced is the same with each method. Use ? = 0.05. State the null and alternative hypotheses: A) H0: Not all the population means are equal. Ha: ?A = ?B = ?C B) H0: ?A = ?B = ?C Ha: ?A ≠ ?B ≠ ?C C) H0: At least two of the population means are equal. Ha: At least two of the population means are different. D) H0: ?A = ?B = ?C Ha: Not all the population means are equal. E) H0: ?A ≠ ?B ≠ ?C Ha: ?A = ?B = ?C #2) Find the value of the test statistic (Round answer to two decimal places), and the P value (round to three decimal places). #3) State your conclusion: A) Do not reject H0. There is not sufficient evidence to conclude that the mean number of parts produced is not the same with each method. B) Do not reject H0. There is sufficient evidence to conclude that the mean number of parts produced is not the same with each method. C) Reject H0. There is not sufficient evidence to conclude that the mean number of parts produced is not the same with each method. D) Reject H0. There is sufficient evidence to conclude that the mean number of parts produced is not the same with each method.

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Description: Three different assembly methods have been proposed for a new product. A completely randomized experimental design was chosen to determine which assembly method results in the greatest number of parts produced per hour, and 30 workers were randomly s

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Three different assembly methods have been proposed for a new product. A completely randomized experimental design was chosen to determine which assembly method results in the greatest number of parts produced per hour, and 30 workers were randomly selected and assigned to use one of the proposed methods. The number of units produced by each worker follows.

Method
A	B	C
96	92	99
72	99	94
94	92	88
99	56	66
74	78	60
90	92	76
100	85	85
87	72	72
91	91	88
107	83	72

#1) Use these data and test to see whether the mean number of parts produced is the same with each method. Use ? = 0.05.

State the null and alternative hypotheses:

A) H₀: Not all the population means are equal.
H_a: ?_A = ?_B = ?_C

B) H₀: ?_A = ?_B = ?_C
H_a: ?_A ≠ ?_B ≠ ?_C

C) H₀: At least two of the population means are equal.
H_a: At least two of the population means are different.

D) H₀: ?_A = ?_B = ?_C
H_a: Not all the population means are equal.

E) H₀: ?_A ≠ ?_B ≠ ?_C
H_a: ?_A = ?_B = ?_C

_{#2) Find the value of the test statistic (Round answer to two decimal places), and the P value (round to three decimal places).}

_{#3) State your conclusion:}

_{A) Do not reject H0. There is not sufficient evidence to conclude that the mean number of parts produced is not the same with each method.}

_{B) Do not reject H0. There is sufficient evidence to conclude that the mean number of parts produced is not the same with each method.}

_{C) Reject H0. There is not sufficient evidence to conclude that the mean number of parts produced is not the same with each method.}

_{D) Reject H0. There is sufficient evidence to conclude that the mean number of parts produced is not the same with each method.}

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