A company manufactures a product by two different manufacturing processes (A and B). Because the management of this company is interested in estimating the difference between the average time it takes each process to produce the product, they selected independent samples from each process. The results of the samples and the population variances are shown below. Process AProcess BSample Size3235Sample Mean (in minutes)4347Population Variance (σ2)6470a.Develop a 95% confidence interval estimate for the difference between the average time taken by the two processes. b.Is there conclusive evidence to prove that one process takes longer than the other? If yes, which process? Explain.

(a) Develop a 95% confidence interval estimate for the difference between the average times of the…

Answered: A company manufactures a product by two…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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A company manufactures a product by two different manufacturing processes (A and B). Because the management of this company is interested in estimating the difference between the average time it takes each process to produce the product, they selected independent samples from each process. The results of the samples and the population variances are shown below.

	Process A	Process B
Sample Size	32	35
Sample Mean (in minutes)	43	47
Population Variance (σ²)	64	70

a.	Develop a 95% confidence interval estimate for the difference between the average time taken by the two processes.
b.	Is there conclusive evidence to prove that one process takes longer than the other? If yes, which process? Explain.

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