Deer mice (Peromyscus maniculatus) are small rodents native of North America. Their adult body lengths (excluding tail) are known to vary approximately Normally, with mean μ = 86 mm and standard deviation σ = 8 mm. Deer mice are found in diverse habitats and exhibit different adaptations to their environment. A random sample of 14 deer mice in a rich forest habitat gives an average body length of  = 91.1 mm. Assume that the standard deviation σ of all deer mice in this area is also 8 mm. What is the standard deviation of the mean length . (Report in mm and round to 3 decimals) What critical value do you need to use in order to compute a 95% confidence interval for the mean μ Give a 95% confidence interval for the mean body length of all deer mice in the forest habitat. Give a 90% confidence interval for the mean body length of all deer mice in the forest habitat.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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Deer mice (Peromyscus maniculatus) are small rodents native of North America. Their adult body lengths (excluding tail) are known to vary approximately Normally, with mean μ = 86 mm and standard deviation σ = 8 mm. Deer mice are found in diverse habitats and exhibit different adaptations to their environment. A random sample of 14 deer mice in a rich forest habitat gives an average body length of  = 91.1 mm. Assume that the standard deviation σ of all deer mice in this area is also 8 mm.

What is the standard deviation of the mean length . (Report in mm and round to 3 decimals)

What critical value do you need to use in order to compute a 95% confidence interval for the mean μ

Give a 95% confidence interval for the mean body length of all deer mice in the forest habitat.

Give a 90% confidence interval for the mean body length of all deer mice in the forest habitat.

 

 

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Calculus For The Life Sciences
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,