(a) Compare the shapes of the sampling distributions of the sample mean FLT rating for random samples of 3cats and for random samples of 60 cats from the population. Explain your answer. (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.
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
(a) Compare the shapes of the sampling distributions of the sample mean FLT rating for random samples of 3cats and for random samples of 60 cats from the population. Explain your answer.
(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.
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