Essentials of Statistics for The Behavioral Sciences (MindTap Course List)

9th Edition

ISBN: 9781337098120

Author: Frederick J Gravetter, Larry B. Wallnau, Lori-Ann B. Forzano

Publisher: Cengage Learning

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Textbook Question

Chapter 7.1, Problem 3LC

If all the possible random samples of size n = 25 are selected from a population with μ = 80 and σ = 10 and the mean is computed for each sample, then what shape is expected for the distribution of sample means?

a. The sample means tend to form a normal-shaped distribution.
b. The distribution of sample means will have the same shape as the sample distribution.
c. The sample will be distributed evenly across the scale, forming a rectangular-shaped distribution.
d. There are thousands of possible samples and it is impossible to predict the shape of the distribution.

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 7.1, Problem 2LC

Chapter 7.2, Problem 1LC

Chapter 7 Solutions

Essentials of Statistics for The Behavioral Sciences (MindTap Course List)

Ch. 7.1 - If all the possible random samples, each with n =...Ch. 7.1 - All the possible random samples of size n = 2 are...Ch. 7.1 - If all the possible random samples of size n = 25...Ch. 7.2 - If random samples, each with n = 4 scores, are...Ch. 7.2 - If random samples each with n = 9 scores, are...Ch. 7.2 - A sample of n = 4 scores has a standard error of...Ch. 7.3 - A sample of n = 16 scores is obtained from a...Ch. 7.3 - A random sample of n = 4 scores is obtained from a...Ch. 7.3 - A random sample of n = 4 scores is obtained from a...Ch. 7.4 - Which of the following would cause the standard...

Ch. 7.4 - A sample obtained from a population with = 10 has...Ch. 7.4 - Prob. 3LC Ch. 7.5 - A sample is obtained from a population with = 100...Ch. 7.5 - For a normal population with = 80 and = 20,...Ch. 7.5 - For a sample selected from a normal population...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 - Under what circumstances is the distribution of...Ch. 7 - A random sample is selected from a population with...Ch. 7 - For a sample of n = 16 scores, what is the value...Ch. 7 - For a population with a mean of = 40 and a...Ch. 7 - A sample of n - 25 scores has a mean of M - 68...Ch. 7 - A population forms a normal distribution with a...Ch. 7 - Scores on a standardized reading test for...Ch. 7 - Scores from a questionnaire measuring social...Ch. 7 - A normal distribution has a mean of = 54 and...Ch. 7 - A population has a mean of = 30 and a standard...Ch. 7 - For random samples of size n = 16 selected from a...Ch. 7 - The distribution exam grades for an introductory...Ch. 7 - By definition, jumbo shrimp are those that require...Ch. 7 - For a population with a mean of = 72 and a...Ch. 7 - For a population with = 16, how large a sample is...Ch. 7 - If the population standard deviation is = 10, how...Ch. 7 - Junes, Thomas, and Piper (2003) conducted a study...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 sample of n= 36 scores is selected from a normal...

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Solution Summary: The author explains that the sample means tend to form a normal-shaped distribution.

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