MINDTAP PSYCHOLOGY FOR GRAVETTER/FORZAN
MINDTAP PSYCHOLOGY FOR GRAVETTER/FORZAN
5th Edition
ISBN: 9781305264953
Author: Forzano
Publisher: IACCENGAGE
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Chapter 11, Problem 2EA

In Figure 11.5, we show three combinations of main effects and interactions for a 2 X 2 factorial design. Using the same 2X2 structure, with factor A defining the rows and factor B defining the columns, create a set of means that produce each of the following patterns:

  1. A main effect for factors A and B, but no interaction.

  • A main effect for factor A and an interaction, but no main effect for factor B.
  • A main effect for both factors and an interaction.
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    Reconsider the patient satisfaction data in Table 1. Fit a multiple regression model using both patient age and severity as the regressors. (a) Test for significance of regression. (b) Test for the individual contribution of the two regressors. Are both regressor variables needed in the model? (c) Has adding severity to the model improved the quality of the model fit? Explain your answer.
    The output voltage of a power supply is assumed to be normally distributed. Sixteen observations taken at random on voltage are as follows: 10.35, 9.30, 10.00, 9.96, 11.65, 12.00, 11.25, 9.58, 11.54, 9.95, 10.28, 8.37, 10.44, 9.25, 9.38, and 10.85. (a) Test the hypothesis that the mean voltage equals 12 V against a two-sided alternative using a = 0.05. (b) Construct a 95% two-sided confidence interval on μ. (c) Test the hypothesis that σ² = 11 using α = 0.05. (d) Construct a 95% two-sided confidence interval on σ. (e) Construct a 95% upper confidence interval on σ. (f) Does the assumption of normality seem reasonable for the output voltage?
    Analyze the residuals from the regression model on the patient satisfaction data from Exercise 3. Comment on the adequacy of the regression model.
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