1. Dental disease in domestic cats is commonly associated with the accumulation of plaque on the teeth. A cat food manufacturer is studying the accumulation of plaque on the teeth of cats from a...

Extracted text: 1. Dental disease in domestic cats is commonly associated with the accumulation of plaque on the teeth. A cat food manufacturer is studying the accumulation of plaque on the teeth of cats from a certain population. The accumulation of plaque is assessed using a fluorescent light technique (FLT), where an evaluator reviews images of the cat's teeth and assigns an overall rating from 0 to 100, with lower values indicating less plaque. A previous study indicates the population distribution of the FLT ratings for the teeth of cats is bimodal with mean u = 59 and standard deviation o = (a) Compare the shapes of the sampling distributions of the sample mean FLT rating for random samples of 3 cats and for random samples of 60 cats from the population. Explain your answer. 20 (b) Which of the following would be more likely to obtain from the population? A random sample of 100 cats having a mean FLT rating that is less than 54 or A random sample of 400 cats having a mean FLT rating that is less than 54 Justify your answer.