An experiment was conducted to compare four different laundry detergents and four different washing times. The response variable was a measure of whiteness of pre-soiled clothes washed by each of the 16 treatment combinations. Each treatment combination was replicated three times, a total of 48 washings. The F ratios of for the main effects and interaction are shown below.
Effect F-ratio
Detergent 2.23
Time 3.65
Det X Time 3.16
Give the p value for each of these F values. For each one, state the appropriate numerator and denominator degree of freedom.
Comment on the result.





