The height of a species of tree is normally distributed with population standard deviation 5ft. How big of a sample of trees would be needed to keep the margin of error below 2ft for a 90% confidence interval for the mean?

The height of a species of tree is normally distributed with population standard deviation 5ft. How big of a sample of trees would be needed to keep the margin of error below 2ft for a 90% confidence interval for the mean?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.5: Comparing Sets Of Data

Problem 13PPS

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Question

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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