ShopEasy Inc.is a specialty e-tailer that operates 87 catalogue websites on the Internet.Larson Brown, Sales Director, feels that the style (colour scheme, graphics, fonts, etc.)of a website may affect its sales.He chooses three levels of design style (neon, old world and sophisticated)and randomly assigns six catalogue websites to each design style.Analysis of Larson's data yielded the following ANOVA table: Using $\alpha$ = 0.05, the observed F value is ___.
A)0.5022
B)0.1333
C)1.9911
D)17.5054
E)22.4567

Question

ShopEasy Inc.is a specialty e-tailer that operates 87 catalogue websites on the Internet.Larson Brown, Sales Director, feels that the style (colour scheme, graphics, fonts, etc.)of a website may affect its sales.He chooses three levels of design style (neon, old world and sophisticated)and randomly assigns six catalogue websites to each design style.Analysis of Larson's data yielded the following ANOVA table:  Using $\alpha$ = 0.05, the observed F value is ___.
A)0.5022 
B)0.1333 
C)1.9911 
D)17.5054 
E)22.4567

Quizplus · Accepted Answer

To determine if the style of a website affects its sales, Larson Brown conducted a one-way ANOVA to compare the mean sales of the three design styles. The null hypothesis is that there is no difference in mean sales among the three design styles, and the alternative hypothesis is that at least one design style has a different mean sales than the others.

The observed F value is 17.5054, which is greater than the critical F value of 2.8 (calculated using an online F distribution calculator with degrees of freedom of 2 and 15 and a significance level of 0.05).

Therefore, we reject the null hypothesis and conclude that at least one design style has a different mean sales than the others. In other words, the style of a website does affect its sales.

ShopEasy Inc α\alphaα = 005, the Observed F Value Is ___

ShopEasy Inc $\alpha$ = 005, the Observed F Value Is ___