A researcher studying genetic influences on learning compares the maze performance of four genetically different strains of mice, using eight mice per strain. Performance for the four strains were as follows:

Using the .01 significance level, is there an overall difference in maze performance among the four strains?
(a) Use the steps of hypothesis testing;
(b) Sketch the distributions involved.
(c) Figure the effect size for the study.
(d) Explain your answer to part (a) to someone who is familiar with hypothesis testing with known populations but unfamiliar with the t test or the analysis of variance.
(e) Test the significance of planned contrasts using the overall .05 level (with a Bonferroni correction for testing each of the five contrasts) for strain J versus strain M,
(f) for strain J versus strain Q.
(g) for strain J versus strain W.
(h) for strain Q versus strain M.
(i) for strain Q versus strain W.
(j) Explain your answers to parts (e) through (i) to a person who understands analysis of variance but is unfamiliar with planned contrasts and the Bonferroni correction.

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