Randomized complete block design

Suppose a factory manager wishes to buy machines to perform a certain task in a production process. Certain key parts are produced by these machines. There are three companies that make such machines and, furthermore, he obtains one from each company for testing which of the three is best suited for this purpose. Each machine is operated by one person and there are many people who would be using these machines. In other words, if the factory has fifty workers doing this task, then he needs fifty machines. Design an experiment to test how the manager can pick the best one given that he only has one from each company to test.

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Timothy Ousley, MSc

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Active since 2004

BSc, University of Florida
MSc, University of Florida

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"Thanks a lot for the detailed explanation! Regards, Rogel"

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"Dear Timothy, Thank you so much for solving the problem. I have few questions and I hope you answer them , please. 1) Could you please send me the Excel sheet? 2) In the Correlation Matrix table, how did you get the critical values? or they come with the table by Excel? why is it two tail, and not one tail? you stated that "The test to evaluate if the slope of the relationship differs significantly from zero has a test statistic value of F = 221.03 and a corresponding p-value of .0000. We can therefore reject the null hypothesis that the slope equals zero and conclude the alternative hypothesis: the slope of the linear relationship differs from zero." 3) So what ? could you please explain more? 4) What is the null hypothesis? 5) What is the alternative hypothesis? 6) Why did you use the ANOVA test? or when you use the Regression Analyze, Excel provides the ANOVA table? 7) Can we use other tests such as t-test to analyze the data? (Yes, No) 8) why did you choose to analyze the data by Regression Analysis? I Look forward to hearing from you. Have a great day! Massad abo-turki98@hotmail.com"

"thank you"