Understandable Statistics: Concepts and Methods

12th Edition

ISBN: 9781337119917

Author: Charles Henry Brase, Corrinne Pellillo Brase

Publisher: Cengage Learning

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Textbook Question

Chapter 8.1, Problem 14P

Basic Computation: Find the Test Statistic, Corresponding P-value, and Conclude Test A random sample of size 16 from a normal distribution with σ = 3 produced a sample mean of 4.5.

(a) Check Requirements Is the x ¯ distribution normal? Explain.
(b) Compute the sample test statistic z under the null hypothesis H₀: μ = 6.3.
(c) For H₁: μ < 6.3, estimate the P-value of the test statistic.
(d) For a level of significance of 0.01 and the hypotheses of parts (b) and (c), do you reject or fail to reject the null hypothesis? Explain.

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 8.1, Problem 13P

Chapter 8.1, Problem 15P

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Understandable Statistics: Concepts and Methods

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