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Analysis of variance

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Pharmacy, Inc. operates a regional chain of 120 pharmacies. Each pharmacy's floor plan includes a greeting card department that is relatively isolated. Marketing Manager, feels that the level of lighting in the greeting card department may affect sales in that department. She chooses three levels of lighting (soft, medium, and bright) and randomly assigns six pharmacies to each lighting level. Analysis of the data yielded the following ANOVA table.

Source of Variation SS df MS F p-value
Between Groups 0.15772 2 0.078860 10.18 0.00027
Within Groups 0.11619 15 0.007746
Total 0.27391 17

What type of experiment is this? Explain your answer.

What are the null and alternative hypotheses?

At alpha=0.05, can you reject the null hypothesis and why?

What can you conclude based on the analysis?

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The solution provides step by step method for the calculation of F statistic. Formula for the calculation and interpretations of the results are also included.

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ANOVA
Pharmacy, Inc. operates a regional chain of 120 pharmacies. Each pharmacy's floor plan includes a greeting card department that is relatively isolated. Marketing Manager, feels that the level of lighting in the greeting card department may affect sales in that department. She chooses three levels of lighting (soft, medium, and bright) and randomly assigns six pharmacies to each lighting level. Analysis ...

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