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Math Statistics Understandable Statistics: Concepts and Methods

Basic Computation: Setting Hypotheses Suppose you want to test the claim that a population mean equals 30. (a) State the null hypothesis. (b) State the alternate hypothesis if you have no information regarding how the population mean might differ from 30. (c) State the alternate hypothesis if you believe (based on experience or past studies) that the population mean may be greater than 30. (d) State the alternate hypothesis if you believe (based on experience or past studies) that the population mean may not be as large as 30.

Basic Computation: Setting Hypotheses Suppose you want to test the claim that a population mean equals 30. (a) State the null hypothesis. (b) State the alternate hypothesis if you have no information regarding how the population mean might differ from 30. (c) State the alternate hypothesis if you believe (based on experience or past studies) that the population mean may be greater than 30. (d) State the alternate hypothesis if you believe (based on experience or past studies) that the population mean may not be as large as 30.

Solution Summary: The author explains that the null hypothesis is a working hypothesis that is related to population parameter.

Understandable Statistics: Concepts and Methods

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 12P

Basic Computation: Setting Hypotheses Suppose you want to test the claim that a population mean equals 30.

(a) State the null hypothesis.
(b) State the alternate hypothesis if you have no information regarding how the population mean might differ from 30.
(c) State the alternate hypothesis if you believe (based on experience or past studies) that the population mean may be greater than 30.
(d) State the alternate hypothesis if you believe (based on experience or past studies) that the population mean may not be as large as 30.

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 8.1, Problem 11P

Chapter 8.1, Problem 13P

Chapter 8 Solutions

Understandable Statistics: Concepts and Methods

Ch. 8.1 - Statistical Literacy Discuss each of the following...Ch. 8.1 - Statistical Literacy In a statistical test, we...Ch. 8.1 - Statistical Literacy If we fail to reject (i.e.,...Ch. 8.1 - Statistical Literacy If we reject the null...Ch. 8.1 - Statistical Literacy What terminology do we use...Ch. 8.1 - Prob. 6P Ch. 8.1 - Statistical Literacy If the P-value in a...Ch. 8.1 - Statistical Literacy If the P-value in a...Ch. 8.1 - Statistical Literacy Suppose the P-value in a...Ch. 8.1 - Statistical Literacy Suppose the P-value in a...

Ch. 8.1 - Basic Computation: Setting Hypotheses Suppose you...Ch. 8.1 - Basic Computation: Setting Hypotheses Suppose you...Ch. 8.1 - Basic Computation: Find Test Statistic,...Ch. 8.1 - Basic Computation: Find the Test Statistic,...Ch. 8.1 - Veterinary Science: Colts The body weight of a...Ch. 8.1 - Marketing: Shopping Time How much customers buy is...Ch. 8.1 - Meteorology: Storms Weatherwise magazine is...Ch. 8.1 - Chrysler Concorde: Acceleration Consumer Reports...Ch. 8.1 - For Problems 1924, please provide the following...Ch. 8.1 - For Problems 1924, please provide the following...Ch. 8.1 - For Problems 1924, please provide the following...Ch. 8.1 - For Problems 1924, please provide the following...Ch. 8.1 - Prob. 23P Ch. 8.1 - Prob. 24P Ch. 8.2 - Statistical Literacy For the same sample data and...Ch. 8.2 - Statistical Literacy To test for an x...Ch. 8.2 - Statistical Literacy When using the Students t...Ch. 8.2 - Critical Thinking Consider a test for . If the...Ch. 8.2 - Critical Thinking Consider a test for . If the...Ch. 8.2 - Critical Thinking If sample data is such that for...Ch. 8.2 - Basic Computation: P-value Corresponding to t...Ch. 8.2 - Basic Computation: P-value Corresponding to t...Ch. 8.2 - Basic Computation: Testing , Unknown A random...Ch. 8.2 - Basic Computation: Testing , Unknown A random...Ch. 8.2 - Please provide the following information for...Ch. 8.2 - Please provide the following information for...Ch. 8.2 - Please provide the following information for...Ch. 8.2 - Please provide the following information for...Ch. 8.2 - Please provide the following information for...Ch. 8.2 - Prob. 16P Ch. 8.2 - Please provide the following information for...Ch. 8.2 - Prob. 18P Ch. 8.2 - Please provide the following information for...Ch. 8.2 - Prob. 20P Ch. 8.2 - Prob. 21P Ch. 8.2 - Prob. 22P Ch. 8.2 - Critical Thinking: One-Tailed versus Two-Tailed...Ch. 8.2 - Prob. 25P Ch. 8.2 - Prob. 26P Ch. 8.2 - Prob. 27P Ch. 8.2 - Prob. 28P Ch. 8.2 - Prob. 29P Ch. 8.2 - Prob. 30P Ch. 8.3 - Statistical Literacy To use the normal...Ch. 8.3 - Statistical Literacy Consider a binomial...Ch. 8.3 - Prob. 3P Ch. 8.3 - Critical Thinking An article in a newspaper states...Ch. 8.3 - Basic Computation: Testing p A random sample of 30...Ch. 8.3 - Basic Computation: Testing p A random sample of 60...Ch. 8.3 - Prob. 7P Ch. 8.3 - Prob. 8P Ch. 8.3 - Prob. 9P Ch. 8.3 - For Problems 721, please provide the following...Ch. 8.3 - Prob. 11P Ch. 8.3 - For Problems 721, please provide the following...Ch. 8.3 - For Problems 721, please provide the following...Ch. 8.3 - Prob. 14P Ch. 8.3 - For Problems 721, please provide the following...Ch. 8.3 - Prob. 16P Ch. 8.3 - For Problems 721, please provide the following...Ch. 8.3 - Prob. 18P Ch. 8.3 - Prob. 19P Ch. 8.3 - Prob. 20P Ch. 8.3 - Prob. 21P Ch. 8.3 - Prob. 22P Ch. 8.3 - Critical Region Method: Testing Proportions Solve...Ch. 8.3 - Prob. 24P Ch. 8.4 - Prob. 1P Ch. 8.4 - Prob. 2P Ch. 8.4 - Prob. 3P Ch. 8.4 - Prob. 4P Ch. 8.4 - Prob. 5P Ch. 8.4 - Prob. 6P Ch. 8.4 - Prob. 7P Ch. 8.4 - Basic Computation: Paired Differences Test For a...Ch. 8.4 - Prob. 9P Ch. 8.4 - Prob. 10P Ch. 8.4 - For Problems 921 assume that the distribution of...Ch. 8.4 - For Problems 921 assume that the distribution of...Ch. 8.4 - Prob. 13P Ch. 8.4 - Prob. 14P Ch. 8.4 - Prob. 15P Ch. 8.4 - Prob. 16P Ch. 8.4 - For Problems 921 assume that the distribution of...Ch. 8.4 - Prob. 18P Ch. 8.4 - Prob. 19P Ch. 8.4 - Prob. 20P Ch. 8.4 - Prob. 21P Ch. 8.4 - Expand Your Knowledge: Confidence Intervals for d...Ch. 8.4 - Prob. 23P Ch. 8.4 - Prob. 24P Ch. 8.5 - Statistical Literacy Consider a hypothesis test of...Ch. 8.5 - Prob. 2P Ch. 8.5 - Prob. 3P Ch. 8.5 - Statistical Literacy Consider a hypothesis test of...Ch. 8.5 - Statistical Literacy Consider a hypothesis test of...Ch. 8.5 - Critical Thinking Consider use of a Students t...Ch. 8.5 - Critical Thinking When conducting a test for the...Ch. 8.5 - Critical Thinking When conducting a test for the...Ch. 8.5 - Basic Computation: Testing 1 2 A random sample of...Ch. 8.5 - Basic Computation: Testing 1 2 Two populations...Ch. 8.5 - Basic Computation: Testing 1 2 A random sample of...Ch. 8.5 - Basic Computation: Testing 1 2 Two populations...Ch. 8.5 - Prob. 13P Ch. 8.5 - Prob. 14P Ch. 8.5 - Please provide the following information for...Ch. 8.5 - Please provide the following information for...Ch. 8.5 - Please provide the following information for...Ch. 8.5 - Please provide the following information for...Ch. 8.5 - Please provide the following information for...Ch. 8.5 - Please provide the following information for...Ch. 8.5 - Prob. 21P Ch. 8.5 - Please provide the following information for...Ch. 8.5 - Prob. 23P Ch. 8.5 - Prob. 24P Ch. 8.5 - Prob. 25P Ch. 8.5 - Prob. 26P Ch. 8.5 - Prob. 27P Ch. 8.5 - Prob. 28P Ch. 8.5 - Prob. 29P Ch. 8.5 - Prob. 30P Ch. 8.5 - Please provide the following information for...Ch. 8.5 - Prob. 32P Ch. 8.5 - Prob. 33P Ch. 8.5 - Prob. 34P Ch. 8.5 - Prob. 35P Ch. 8.5 - Prob. 36P Ch. 8.5 - Prob. 37P Ch. 8.5 - Prob. 38P Ch. 8 - Prob. 1CRP Ch. 8 - Prob. 2CRP Ch. 8 - Critical Thinking All other conditions being...Ch. 8 - Prob. 4CRP Ch. 8 - Before you solve each problem below, first...Ch. 8 - Prob. 6CRP Ch. 8 - Prob. 7CRP Ch. 8 - Prob. 8CRP Ch. 8 - Prob. 9CRP Ch. 8 - Prob. 10CRP Ch. 8 - Prob. 11CRP Ch. 8 - Prob. 12CRP Ch. 8 - Prob. 13CRP Ch. 8 - Prob. 14CRP Ch. 8 - Before you solve each problem below, first...Ch. 8 - Prob. 16CRP Ch. 8 - Prob. 17CRP Ch. 8 - Prob. 18CRP Ch. 8 - Discuss each of the following topics in class or...Ch. 8 - Prob. 2LC Ch. 8 - Prob. 3LC Ch. 8 - Prob. 4LC Ch. 8 - Prob. 5LC

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