Answered: 1 9 5 6 0 4 5 7 0 3 4 6 8 3 4 6 1 1 5 9…

Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter2: Working With Real Numbers

Section2.5: The Distributive Property

Problem 14WE

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Suppose that Felisha is a librarian, and she read in a scholarly journal that the number of words in children's picture books published since 1950 is normally distributed with a mean of 802.2 words and a standard deviation of 102.0 words. She wishes to construct a confidence interval for the mean number of words in all children's picture books published after 2010, in case the number has changed in recent years. Felisha took a random sample of 20 children's picture books published after 2010 and counted the number of words in all 20 books. Her data is presented in the stem-and-leaf plot.

Felisha calculated the mean of her sample to be 773.0 words, and now she wants to calculate the margin of error of a 95% confidence interval for the mean number of words in all books published after 2010. She assumes that the number of words in children's picture books published after 2010 has the same normal distribution and same standard deviation as the general population of all books published since 1950.

Compute the margin of error of a 95% confidence interval for the mean number of words in all children's picture books published after 2010. Give your answer precise to one decimal place.

1 9
5
6
0
4 5
7
0
3
4 6 8
3
4 6
1
1
5 9
1 7
Leaf Unit = 10
10
4

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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