Math

StatisticsProbability and Statistics for Engineering and the SciencesThe accompanying data resulted from an experiment to investigate whether yield from a certain chemical process depended either on the formulation of a particular input or on mixer speed. A statistical computer package gave SS(Form) = 2253.44, SS(Speed) = 230.81, SS(Form*Speed) = 18.58, and SSE = 71.87. a. Does there appear to be interaction between the factors? b. Does yield appear to depend on either formulation or speed? c. Calculate estimates of the main effects. d. The fitted values are x ^ i j k = μ ^ + α ^ i + β ^ j + γ ^ i j , and the residuals are x i j k − x ^ i j k . Verify that the residuals are .23, −.87, .63, 4.50, −1.20, −3.30, −2.03, 1.97,.07, −1.10, −.30, 1.40, .67, −1.23, .57, −3.43, −.13,and 3.57. e. Construct a normal probability plot from the residuals given in part (d). Do the ϵ ijk ’s appear to be normally distributed?BuyFind*launch*

9th Edition

Jay L. Devore

Publisher: Cengage Learning

ISBN: 9781305251809

Chapter 11.2, Problem 18E

Textbook Problem

The accompanying data resulted from an experiment to investigate whether yield from a certain chemical process depended either on the formulation of a particular input or on mixer speed.

A statistical computer package gave SS(Form) = 2253.44, SS(Speed) = 230.81, SS(Form*Speed) = 18.58, and SSE = 71.87.

**a.** Does there appear to be interaction between the factors?

**b.** Does yield appear to depend on either formulation or speed?

**c.** Calculate estimates of the main effects.

**d.** The *fitted values* are
*residuals* are

**e.** Construct a normal probability plot from the residuals given in part (d). Do the *ϵ _{ijk}*’s appear to be normally distributed?

Probability and Statistics for Engineering and the Sciences

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