WhiteTooth Inc. is developing an additive for its line of toothpastes that is designed to whiten teeth in as little time as possible. It currently has two variations of the additive,, and B, but only wishes to produce and market one. In order determine the effectiveness of these new additives, a focus group consisting of 15 people is organized. Five are given, five are given type B and five are the control group and are given a placebo. Each person is asked to use the toothpaste and record the time of days it takes before their teeth achieve a predetermined shade of white. The following table contains the data collected: Observation Type B Control Group (Placebo) 1 5 4 9 2 5 5 7 3 7 6 8 4 4 5 9 5 6 8 7 Standard Deviation 1.1 1.5 1.0 Sample Mean 5.4 5.6 8 a) Test to determine whether or not there is a difference between the two types of additives and the control group. b) Perform a Fisher's LSD test if necessary