An experiment was performed to evaluate the cost of three different categories of toothpaste with regards to capability of removing stain on teeth. The three different categories of toothpaste with respect to stain removal are very good (VG), good (G), and fair (F). Samples were collected for each category and cost per ounce (in dollars) was tabulated. An ANOVA was performed to determine if there is a difference in the cost of the three different categories of toothpaste at alpha equal to .05 level. The analysis resulted in the ANOVA table below. State the null hypothesis for this test?
Anova: Single Factor
SUMMARY
Groups Count Sum Average Variance
VG 12 6.43 0.5358 0.1038
G 12 9.92 0.8267 0.4432
F 5 3.15 0.63 0.1531
ANOVA
Source of Variation SS df MS F P-value F crit
Between Groups 0.5184 2 0.2592 1.0165 0.3758 3.3690
Within Groups 6.6292 26 0.2550
Total 7.1475 28