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Deer mice are small rodents native of North America. Their adult body lengths are known to vary approximately Normally, with mean = 86 mm and

Deer mice are small rodents native of North America. Their adult body lengths are known to vary approximately Normally, with mean = 86 mm and standard deviation = 8 mm. A research uses a random sample of 14 deer mice.

a) What are the mean and standard deviation of the sampling distribution of X-bar?

b) What is the probability that the sample mean body length would be less than 80 mm?

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