Pate's Pharmacy,Inc.operates a regional chain of 120 pharmacies.Each pharmacy's floor plan includes a greeting card department which is relatively isolated.Sandra Royo,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 Sandra's data yielded the following ANOVA table: Using $\alpha$ = 0.05,the appropriate decision is ___. A)do not reject the null hypothesis $\mu$₁ $\neq$$\mu$₂ $\neq$ $\mu$₃ B)do not reject the null hypothesis $\mu$₁ =$\mu$₂ = $\mu$₃ C)reject the null hypothesis $\mu$₁ $\ge$$\mu$₂ $\ge$$\mu$₃ D)reject the null hypothesis $\mu$₁ $\le$ $\mu$₂ $\le$ $\mu$₃ E)inclusive

Question

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The appropriate decision can be made by comparing the calculated F-value (4.25) with the critical F-value (3.00) at a significance level of 0.05 and degrees of freedom 2, 15 (from the ANOVA table). The calculated F-value is not greater than the critical F-value, so we do not reject the null hypothesis. Therefore, there is not enough evidence to conclude that the level of lighting in the greeting card department affects sales in that department. Choice B states the correct decision and is the best choice.

Pate's Pharmacy,Inc α\alphaα = 005,the Appropriate Decision Is ___ μ\muμ 1 ≠\neq=

Pate's Pharmacy,Inc $\alpha$ = 005,the Appropriate Decision Is ___ $\mu$ ₁ $\neq$