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# Confidence Intervals

To estimate the mean size of maple trees in a certain area of the Adirondacks. A sample of 15 maple tree heights is collected (refer to the data set).

Data Sheet numbers:
50, 41, 31, 33, 47, 39, 41, 44, 39, 32, 35, 43, 37, 49, 51

a) Determine a 90% confidence interval for the population mean of maple tree heights.

b) Determine a 99% confidence interval for the population mean of maple tree heights.

c) What size sample would you need to estimate the average heights of the trees to within ft. with a 99% confidence (assume o=s from your data set)

#### Solution Summary

To estimate the mean size of maple trees in a certain area of the Adirondacks. A sample of 15 maple tree heights is collected (refer to the data set).

Data Sheet numbers:
50, 41, 31, 33, 47, 39, 41, 44, 39, 32, 35, 43, 37, 49, 51

a) Determine a 90% confidence interval for the population mean of maple tree heights.

b) Determine a 99% confidence interval for the population mean of maple tree heights.

c) What size sample would you need to estimate the average heights of the trees to within ft. with a 99% confidence (assume o=s from your data set)

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