12th Edition

ISBN: 9780321836960

Author: Mario F. Triola

Publisher: PEARSON

See similar textbooks

Videos

Textbook Question

Chapter 8.4, Problem 24BSC

Testing Hypotheses. In Exercises 9-24, assume that a simple random sample has been selected and test the given claim. Unless specified by your instructor, use either the P-value method or the critical value method for testing /hypotheses. Identify the null and alternative hypotheses, test statistic, P-value (or range of P-values), critical value(s), and state the final conclusion that addresses the original claim.

24. Highway Speeds Listed below are speeds (mi/h) measured from southbound traffic on 1-280 near Cupertino, California (based on data from SigAlert). This simple random sample was obtained at 3:30 P.M. on a weekday. Use a 0.05 significance level to test the claim that the sample is from a population with a mean that is less than the speed limit of 65 mi/h.

62 61 61 57 61 54 59 58 59 69 60 67

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 8.4, Problem 23BSC

Chapter 8.4, Problem 25BSC

Chapter 8 Solutions

Elementary Statistics

Ch. 8.2 - MMs and Aspirin A package label includes a claim...Ch. 8.2 - Estimates and Hypothesis Tests Data Set 20 in...Ch. 8.2 - Mean Body Temperature A formal hypothesis test is...Ch. 8.2 - Interpreting P-value The Ericsson method is one of...Ch. 8.2 - Stating Conclusions About Claims. In Exercises...Ch. 8.2 - Stating Conclusions About Claims. In Exercises...Ch. 8.2 - Stating Conclusions About Claims. In Exercises...Ch. 8.2 - Stating Conclusions About Claims. In Exercises...Ch. 8.2 - Forming Conclusions. In Exercises 9-12, refer to...Ch. 8.2 - Forming Conclusions. In Exercises 9-12, refer to...

Knowledge Booster

$Statistics$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Solution Summary: The author explains the null hypothesis and alternative hypothesis, and concludes that there is sufficient evidence to support the claim that the mean of the sample is less than the speed limit of 65 mi/h.

Videos

Want to see the full answer?

Chapter 8 Solutions