Answered: An ecologist randomly samples 20…

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

An ecologist randomly samples

plants of a specific species and measures their heights. He finds that this sample has a mean of

cm and a standard deviation of

cm. If we assume that the height measurements are normally distributed, find a

90%

confidence interval for the mean height of all plants of this species. Then find the lower limit and upper limit of the

90%

confidence interval.

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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