8th Edition

ISBN: 9781337558075

Author: Charles Henry Brase, Corrinne Pellillo Brase

Publisher: Cengage Learning

Concept explainers

The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of tw…

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A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow compar…

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Textbook Question

Chapter 8, Problem 4CR

Terminology Consider a student's t distribution. Answer each of the following statements as true or false.

The distribution is the same no matter the value of the degrees of freedom.

The distribution is skewed.

(iii) The distribution approaches the standerd normal distribution as the degrees of freedom increase.

(iv) If we do not know the population standard deviation, we can always use a Student’s t distribution of x ¯ .

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 8, Problem 3CR

Chapter 8, Problem 5CR

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Chapter 8 Solutions

Understanding Basic Statistics

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Solution Summary: The author explains the statement "The t -distribution is the same no matter the value of the degrees of freedom".

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Chapter 8 Solutions