Consider we are interested in the population average height µ of trees in a certain region. We are interested in estimating u with the sample mean Y. A sample of n = 60 tree heights were collected resulting in a sample average of 57.34 feet and a sample standard deviation of 2.145 feet. a) Assuming the sample size is large enough for Y to be approximately normal, calculate a 99% confidence interval for u using the sample data provided above. b) What sample size would be required if we were interested in producing an estimate Y within .25 of the parameter u with 90% confidence?

MATLAB: An Introduction with Applications
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Consider we are interested in the population average height µ of trees in a certain region. We are interested in
estimating u with the sample mean Y. A sample of n = 60 tree heights were collected resulting in a sample average of
57.34 feet and a sample standard deviation of 2.145 feet.
a) Assuming the sample size is large enough for Y to be approximately normal, calculate a 99% confidence interval for u
using the sample data provided above.
b) What sample size would be required if we were interested in producing an estimate Y within .25 of the parameter u
with 90% confidence?
Transcribed Image Text:Consider we are interested in the population average height µ of trees in a certain region. We are interested in estimating u with the sample mean Y. A sample of n = 60 tree heights were collected resulting in a sample average of 57.34 feet and a sample standard deviation of 2.145 feet. a) Assuming the sample size is large enough for Y to be approximately normal, calculate a 99% confidence interval for u using the sample data provided above. b) What sample size would be required if we were interested in producing an estimate Y within .25 of the parameter u with 90% confidence?
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