Elementary Statistics: A Step By Step Approach

10th Edition

ISBN: 9781260042054

Author: Bluman

Publisher: MCG

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Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence. It was invented by German mathematician Carl Friedrich Gauss.

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Textbook Question

Chapter 6.4, Problem 7E

Check each binomial distribution to see whether it can be approximated by a normal distribution (i.e., are np ≥ 5 and nq ≥ 5?).

a. n = 20, p = 0.5

b. n = 10, p = 0.6

c. n = 40, p = 0.9

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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Chapter 6.4, Problem 4E

Chapter 6.4, Problem 8E

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Chapter 6 Solutions

Elementary Statistics: A Step By Step Approach

Ch. 6.1 - Many times in statistics it is necessary to see if...Ch. 6.1 - What are the characteristics of an normal...Ch. 6.1 - Why is the standard normal distribution important...Ch. 6.1 - What is the total area under the standard normal...Ch. 6.1 - What percentage of the area falls below the mean?...Ch. 6.1 - About what percentage of the area under the normal...Ch. 6.1 - What are two other names for a normal...Ch. 6.1 - For Exercises 7 through 26, find the area under...Ch. 6.1 - For Exercises 7 through 26, find the area under...Ch. 6.1 - For Exercises 7 through 26, find the area under...

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Check each binomial distribution to see whether it can be approximated by a normal distribution (i.e., are np ≥ 5 and nq ≥ 5?). a. n = 20, p = 0.5 b. n = 10, p = 0.6 c. n = 40, p = 0.9

Solution Summary: The author explains how the random variable X follows the binomial distribution with parameters (n=20,p=0.5).

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