Introduction to Probability and Statistics

14th Edition

ISBN: 9781133103752

Author: Mendenhall, William

Publisher: Cengage Learning

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Textbook Question

Chapter 9.4, Problem 9.19E

Independent random samples of 36 and 45 observations are drawn from two quantitative populations,1 and 2, respectively. The sample data summary is shown here:

Chapter 9.4, Problem 9.19E, Independent random samples of 36 and 45 observations are drawn from two quantitative populations,1

Do the data present sufficient evidence to indicate that the mean for population 1 is smaller than the mean for population 2? Use one of the two methods of testing presented in this section, and explain your conclusions.

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 + ...

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Chapter 9.4, Problem 9.18E

Chapter 9.4, Problem 9.20E

Chapter 9 Solutions

Introduction to Probability and Statistics

Ch. 9.3 - Find the appropriate rejection regions for the...Ch. 9.3 - Prob. 9.2E Ch. 9.3 - Find the appropriate rejection regions for the...Ch. 9.3 - Prob. 9.4E Ch. 9.3 - For the three tests given in Exercise 9.4, use the...Ch. 9.3 - A random sample of n=35 observations from a...Ch. 9.3 - Prob. 9.7E Ch. 9.3 - Prob. 9.8E Ch. 9.3 - A random sample of 100 observations from a...Ch. 9.3 - Prob. 9.10E

Ch. 9.3 - Prob. 9.11E Ch. 9.3 - Prob. 9.12E Ch. 9.3 - Prob. 9.14E Ch. 9.3 - Prob. 9.15E Ch. 9.3 - What’s Normal? What is normal, when it comes to...Ch. 9.4 - Prob. 9.18E Ch. 9.4 - Independent random samples of 36 and 45...Ch. 9.4 - Prob. 9.20E Ch. 9.4 - Cure for the Common Cold? An experiment was...Ch. 9.4 - Healthy Eating As Americans become more conscious...Ch. 9.4 - Prob. 9.24E Ch. 9.4 - Prob. 9.25E Ch. 9.4 - Prob. 9.26E Ch. 9.4 - Prob. 9.27E Ch. 9.4 - Prob. 9.28E Ch. 9.4 - What’s Normal II Of the 130 people in Exercise...Ch. 9.5 - A random sample of n=1000 observations from a...Ch. 9.5 - A random sample of n=1400 observations from a...Ch. 9.5 - Prob. 9.32E Ch. 9.5 - Prob. 9.33E Ch. 9.5 - Prob. 9.38E Ch. 9.5 - Prob. 9.40E Ch. 9.5 - Prob. 9.41E Ch. 9.6 - Independent random samples of n1=140 and n2=140...Ch. 9.6 - Prob. 9.43E Ch. 9.6 - Prob. 9.46E Ch. 9.6 - Prob. 9.47E Ch. 9.6 - Prob. 9.48E Ch. 9.6 - Prob. 9.49E Ch. 9.6 - Prob. 9.50E Ch. 9 - Prob. 9.52SE Ch. 9 - Prob. 9.53SE Ch. 9 - Prob. 9.54SE Ch. 9 - Prob. 9.55SE Ch. 9 - Prob. 9.56SE Ch. 9 - Prob. 9.57SE Ch. 9 - Prob. 9.58SE Ch. 9 - Prob. 9.59SE Ch. 9 - Prob. 9.60SE Ch. 9 - White-Tailed Deer In an article entitled “A...Ch. 9 - Prob. 9.62SE Ch. 9 - Prob. 9.63SE Ch. 9 - Prob. 9.64SE Ch. 9 - Prob. 9.65SE Ch. 9 - Prob. 9.66SE Ch. 9 - Prob. 9.67SE Ch. 9 - Prob. 9.68SE Ch. 9 - Prob. 9.69SE Ch. 9 - Prob. 9.70SE Ch. 9 - Prob. 9.71SE Ch. 9 - Actinomycin D A biologist hypothesizes that high...Ch. 9 - Prob. 9.73SE Ch. 9 - Prob. 9.74SE Ch. 9 - Heights and Gender It is a well-accepted fact that...Ch. 9 - Prob. 9.79SE Ch. 9 - Prob. 9.81SE

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Solution Summary: The author explains the null hypothesis and the alternative hypothesis, which states that the population mean is equal to the value mentioned in the given statement.

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Chapter 9 Solutions