An engineer has proposed the following model to describe the relationship between the number of acceptable items

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An engineer has proposed the following model to describe the relationship between the number of acceptable items produced per day (output) and the number of work-hours expended per day (input) in a particular production process: 

y = β0 + β1x + β2x2 + ∈

where 

y = Number of acceptable items produced per day

x = Number of work-hours per day

A portion of the MINITAB computer printout that results from fitting this model to a sample of 25 weeks of production data is shown above (right column). Test the hypothesis that as amount of input increases, the amount of output also increases but at a decreasing rate. Do the data provide sufficient evidence to indicate that the rate of increase in output per unit increase of input decreases as the input increases? Test using α = .05.

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Related Book For  book-img-for-question

Statistics For Engineering And The Sciences

ISBN: 9781498728850

6th Edition

Authors: William M. Mendenhall, Terry L. Sincich

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