Statistics for The Behavioral Sciences (MindTap Course List)

10th Edition

ISBN: 9781305504912

Author: Frederick J Gravetter, Larry B. Wallnau

Publisher: Cengage Learning

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

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Textbook Question

Chapter 7, Problem 4P

The distribution of sample means is not always a normal distribution. Under what circumstances is the distribution of sample means not be normal?

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 7 Solutions

Statistics for The Behavioral Sciences (MindTap Course List)

Ch. 7 - Briefly define each of the following: a....Ch. 7 - A sample is selected from a population with a mean...Ch. 7 - Describe the distribution of sample means (shape,...Ch. 7 - The distribution of sample means is not always a...Ch. 7 - A population has a standard deviation of =24 . On...Ch. 7 - For a population with a mean of =45 and a standard...Ch. 7 - For a population with =12 , how large a sample is...Ch. 7 - If the population standard deviation is =10 , how...Ch. 7 - For a sample of n=16 scores, what is the value of...Ch. 7 - For a population with a mean of =40 and a standard...

Ch. 7 - A sample of n=25 scores has a mean of M=68 . Find...Ch. 7 - A population forms a normal distribution with a...Ch. 7 - cores on a standardized reading test for 4th-grade...Ch. 7 - IQ scores form a normal distribution with a mean...Ch. 7 - A normal distribution has a mean of =54 and a...Ch. 7 - A population has a mean of =30 and a standard...Ch. 7 - For random samples of size n=25 selected from a...Ch. 7 - The distribution ages for students at the state...Ch. 7 - Jumbo shrimp are those that require 1015 shrimp to...Ch. 7 - Callahan (2009) conducted a study to evaluate the...Ch. 7 - A normal distribution has a mean of =60 and a...Ch. 7 - A random sample is obtained from a normal...Ch. 7 - A normal distribution has a mean of =65 and a...

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The distribution of sample means is not always a normal distribution . Under what circumstances is the distribution of sample means not be normal?

Solution Summary: The author explains that the distribution of sample means, M, will form a normal shaped distribution when either population is normal, or sample size is small.

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Chapter 7 Solutions