Fundamentals of Statistics (5th Edition)

5th Edition

ISBN: 9780134508306

Author: Michael Sullivan III

Publisher: PEARSON

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Chapter B.3, Problem 3AYU

To test H₀: σ = 50 versus H₁: σ < 50, a random sample of size n = 24 is obtained from a population that is known to be normally distributed.

(a) If the sample standard deviation is determined to be s = 47.2, compute the test statistic.
(b) If the researcher decides to test this hypothesis at the α = 0.05 level of significance, determine the critical value.
(c) Draw a chi-square distribution and depict the critical region.
(d) Will the researcher reject the null hypothesis? Why?

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 B.3, Problem 2AYU

Chapter B.3, Problem 4AYU

Chapter B.3 Solutions

Fundamentals of Statistics (5th Edition)

Ch. B.3 - (a) Determine the critical value for a...Ch. B.3 - (a) Determine the critical value for a...Ch. B.3 - To test H0: = 50 versus H1: 50, a random sample...Ch. B.3 - Prob. 4AYU Ch. B.3 - Prob. 5AYU Ch. B.3 - To test H0: = 0.35 versus H1: 0.35, a random...Ch. B.3 - To test H0: = 4.3 versus H1: 4.3, a random...Ch. B.3 - Prob. 8AYU Ch. B.3 - NW 9. Mutual Fund Risk One measure of the risk of...Ch. B.3 - Prob. 10AYU

Ch. B.3 - Pump Design The piston diameter of a certain hand...Ch. B.3 - Prob. 12AYU Ch. B.3 - Prob. 13AYU Ch. B.3 - Prob. 14AYU Ch. B.3 - An Inconsistent Player Sports announcers often...Ch. B.3 - Prob. 16AYU Ch. B.3 - Heights of Baseball Players Data obtained from the...Ch. B.3 - NCAA Softball NCAA rules require the circumference...

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Solution Summary: The author explains the required test statistic for the sample standard deviation at alpha =0.05 level of significance.

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Chapter B.3 Solutions