Deer mice are small rodents native to North America. Their adult body length are known to vary approximately normally, with a mean of 85 millimeters and a standard deviation of 10 mm. Deer mice are found in diverse habitats and exhibit different adaptations to their environment. A random sample of 12 deer mice in a rich forest habitat gives an average body length of 93.5 mm. Assume that the standard deviation of all deer mice in this area is also 10 mm.  a. Give a 92% a confidence interval for the mean body length of all deer mice in this habitat.  b. How large a sample is needed to cut the margin of error in part a in fourth?

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Deer mice are small rodents native to North America. Their adult body length are known to vary approximately normally, with a mean of 85 millimeters and a standard deviation of 10 mm. Deer mice are found in diverse habitats and exhibit different adaptations to their environment. A random sample of 12 deer mice in a rich forest habitat gives an average body length of 93.5 mm. Assume that the standard deviation of all deer mice in this area is also 10 mm. 

a. Give a 92% a confidence interval for the mean body length of all deer mice in this habitat. 

b. How large a sample is needed to cut the margin of error in part a in fourth? 

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