ELEMENTARY SATISTICS IA
13th Edition
ISBN: 9780137695522
Author: Triola
Publisher: PEARSON C
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Textbook Question
Chapter 7, Problem 5RE
Distributions Identify the distribution (normal, Student t, chi-square) that should be used in each of the following situations. If none of the three distributions can be used, what other method could be used?
a. In constructing a confidence interval of μ, you have 75 sample values and they appear to be from a population with a skewed distribution. The population standard deviation is not known.
b. In constructing a confidence
c. In constructing a confidence interval estimate of σ, you have 75 sample values and they appear to be from a population with a skewed distribution.
d. In constructing a confidence interval estimate of σ, you have 75 sample values and they appear to be from a population with a
e. In constructing a confidence interval estimate of p, you have 1200 survey respondents and 5% of them answered “yes” to the first question.
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Students have asked these similar questions
(a) Test the hypothesis.
Consider the hypothesis test Ho
=
:
against H₁o < 02. Suppose that the sample sizes aren₁ =
7 and n₂
= 13 and that
$²
= 22.4 and $22
= 28.2. Use α = 0.05.
Ho
is not
✓ rejected.
9-9
IV
(b) Find a 95% confidence interval on of 102. Round your answer to two decimal places (e.g. 98.76).
Let us suppose we have some article reported on a study of potential sources of injury to equine veterinarians conducted at a
university veterinary hospital. Forces on the hand were measured for several common activities that veterinarians engage in when
examining or treating horses. We will consider the forces on the hands for two tasks, lifting and using ultrasound. Assume that both
sample sizes are 6, the sample mean force for lifting was 6.2 pounds with standard deviation 1.5 pounds, and the sample mean force
for using ultrasound was 6.4 pounds with standard deviation 0.3 pounds. Assume that the standard deviations are known.
Suppose that you wanted to detect a true difference in mean force of 0.25 pounds on the hands for these two activities. Under the null
hypothesis, 40 = 0. What level of type II error would you recommend here?
Round your answer to four decimal places (e.g. 98.7654). Use a
= 0.05.
β
= i
What sample size would be required?
Assume the sample sizes are to be equal.…
=
Consider the hypothesis test Ho: μ₁ = μ₂ against H₁ μ₁ μ2. Suppose that sample sizes are n₁ =
15 and n₂ =
15, that x1 = 4.7
and X2 = 7.8 and that s² = 4 and s² = 6.26. Assume that o and that the data are drawn from normal distributions. Use
απ 0.05.
(a) Test the hypothesis and find the P-value.
(b) What is the power of the test in part (a) for a true difference in means of 3?
(c) Assuming equal sample sizes, what sample size should be used to obtain ẞ = 0.05 if the true difference in means is - 2? Assume
that α = 0.05.
(a) The null hypothesis is
98.7654).
rejected. The P-value is 0.0008
(b) The power is 0.94
. Round your answer to four decimal places (e.g.
Round your answer to two decimal places (e.g. 98.76).
(c) n₁ = n2 =
1
. Round your answer to the nearest integer.
Chapter 7 Solutions
ELEMENTARY SATISTICS IA
Ch. 7.1 - Poll Results in the Media USA Today provided...Ch. 7.1 - Margin of Error For the poll described in Exercise...Ch. 7.1 - Notation For the poll described in Exercise 1,...Ch. 7.1 - Confidence Levels Given specific sample data, such...Ch. 7.1 - Finding Critical Values. In Exercises 58, find the...Ch. 7.1 - Finding Critical Values. In Exercises 58, find the...Ch. 7.1 - Finding Critical Values. In Exercises 58, find the...Ch. 7.1 - Finding Critical Values. In Exercises 58, find the...Ch. 7.1 - Formats of Confidence Intervals. In Exercises 912,...Ch. 7.1 - Formats of Confidence Intervals. In Exercises 912,...
Ch. 7.1 - Formats of Confidence Intervals. In Exercises 912,...Ch. 7.1 - Formats of Confidence Intervals. In Exercises 912,...Ch. 7.1 - Constructing and Interpreting Confidence...Ch. 7.1 - Constructing and Interpreting Confidence...Ch. 7.1 - Constructing and Interpreting Confidence...Ch. 7.1 - Constructing and Interpreting Confidence...Ch. 7.1 - Critical Thinking. In Exercises 1728, use the data...Ch. 7.1 - Critical Thinking. In Exercises 1728, use the data...Ch. 7.1 - Critical Thinking. In Exercises 1728, use the data...Ch. 7.1 - Critical Thinking. In Exercises 1728, use the data...Ch. 7.1 - Touch Therapy When she was 9 years of age, Emily...Ch. 7.1 - Critical Thinking. In Exercises 1728, use the data...Ch. 7.1 - Critical Thinking. In Exercises 1728, use the data...Ch. 7.1 - Critical Thinking. In Exercises 1728, use the data...Ch. 7.1 - Critical Thinking. In Exercises 1728, use the data...Ch. 7.1 - Critical Thinking. In Exercises 1728, use the data...Ch. 7.1 - Critical Thinking. In Exercises 1728, use the data...Ch. 7.1 - Critical Thinking. In Exercises 1728, use the data...Ch. 7.1 - Using Appendix B Data Sets. In Exercises 29 and...Ch. 7.1 - Using Appendix B Data Sets. In Exercises 29 and...Ch. 7.1 - Determining Sample Size. In Exercises 3138, use...Ch. 7.1 - Determining Sample Size. In Exercises 3138, use...Ch. 7.1 - Determining Sample Size. In Exercises 3138, use...Ch. 7.1 - Determining Sample Size. In Exercises 3138, use...Ch. 7.1 - Determining Sample Size. In Exercises 3138, use...Ch. 7.1 - Determining Sample Size. In Exercises 3138, use...Ch. 7.1 - Determining Sample Size. In Exercises 3138, use...Ch. 7.1 - Determining Sample Size. In Exercises 3138, use...Ch. 7.1 - Finite Population Correction Factor For Formulas...Ch. 7.1 - One-Sided Confidence Interval A one-sided claim...Ch. 7.1 - Coping with No Success According to the Rule of...Ch. 7.2 - In Exercises 13, refer to the accompanying screen...Ch. 7.2 - Statistical Literacy and Critical Thinking In...Ch. 7.2 - In Exercises 13, refer to the accompanying screen...Ch. 7.2 - Normality Requirement What does it mean when we...Ch. 7.2 - Using Correct Distribution. In Exercises 58,...Ch. 7.2 - Using Correct Distribution. In Exercises 58,...Ch. 7.2 - Using Correct Distribution. In Exercises 58,...Ch. 7.2 - Using Correct Distribution. In Exercises 58,...Ch. 7.2 - Confidence Intervals. In Exercises 924, construct...Ch. 7.2 - Confidence Intervals. In Exercises 924, construct...Ch. 7.2 - Confidence Intervals. In Exercises 924, construct...Ch. 7.2 - Confidence Intervals. In Exercises 924, construct...Ch. 7.2 - Confidence Intervals. In Exercises 924, construct...Ch. 7.2 - Confidence Intervals. In Exercises 924, construct...Ch. 7.2 - Confidence Intervals. In Exercises 924, construct...Ch. 7.2 - Confidence Intervals. In Exercises 924, construct...Ch. 7.2 - Confidence Intervals. In Exercises 924, construct...Ch. 7.2 - Confidence Intervals. In Exercises 924, construct...Ch. 7.2 - Confidence Intervals. In Exercises 924, construct...Ch. 7.2 - Confidence Intervals. In Exercises 924, construct...Ch. 7.2 - Confidence Intervals. In Exercises 924, construct...Ch. 7.2 - Confidence Intervals. In Exercises 924, construct...Ch. 7.2 - Confidence Intervals. In Exercises 924, construct...Ch. 7.2 - Confidence Intervals. In Exercises 924, construct...Ch. 7.2 - Appendix B Data Sets. In Exercises 2528, use the...Ch. 7.2 - Appendix B Data Sets. In Exercises 2528, use the...Ch. 7.2 - Appendix B Data Sets. In Exercises 2528, use the...Ch. 7.2 - Appendix B Data Sets. In Exercises 2528, use the...Ch. 7.2 - Sample Size. In Exercises 2936, find the sample...Ch. 7.2 - Sample Size. In Exercises 2936, find the sample...Ch. 7.2 - Sample Size. In Exercises 2936, find the sample...Ch. 7.2 - Sample Size. In Exercises 2936, find the sample...Ch. 7.2 - Sample Size. In Exercises 2936, find the sample...Ch. 7.2 - Sample Size. In Exercises 2936, find the sample...Ch. 7.2 - Sample Size. In Exercises 2936, find the sample...Ch. 7.2 - Sample Size. In Exercises 2936, find the sample...Ch. 7.2 - Confidence Interval with Known . In Exercises 37...Ch. 7.2 - Confidence Interval with Known . In Exercises 37...Ch. 7.2 - Finite Population Correction Factor If a simple...Ch. 7.3 - Brain Volume Using all of the brain volumes listed...Ch. 7.3 - Expressing Confidence Intervals Example 2 showed...Ch. 7.3 - Last Digit Analysis The dotplot below depicts the...Ch. 7.3 - Normality Requirement What is different about the...Ch. 7.3 - Finding Critical Values and Confidence Intervals....Ch. 7.3 - Finding Critical Values and Confidence Intervals....Ch. 7.3 - Finding Critical Values and Confidence Intervals....Ch. 7.3 - Finding Critical Values and Confidence Intervals....Ch. 7.3 - Finding Confidence Intervals. In Exercises 916,...Ch. 7.3 - Finding Confidence Intervals. In Exercises 916,...Ch. 7.3 - Finding Confidence Intervals. In Exercises 916,...Ch. 7.3 - Finding Confidence Intervals. In Exercises 916,...Ch. 7.3 - Finding Confidence Intervals. In Exercises 916,...Ch. 7.3 - Finding Confidence Intervals. In Exercises 916,...Ch. 7.3 - Finding Confidence Intervals. In Exercises 916,...Ch. 7.3 - Comparing Waiting Lines a. The values listed below...Ch. 7.3 - Large Data Sets from Appendix B. In Exercises 17...Ch. 7.3 - Large Data Sets from Appendix B. In Exercises 17...Ch. 7.3 - Determining Sample Size. In Exercises 1922, assume...Ch. 7.3 - Determining Sample Size. In Exercises 1922, assume...Ch. 7.3 - Determining Sample Size. In Exercises 1922, assume...Ch. 7.3 - Determining Sample Size. In Exercises 1922, assume...Ch. 7.3 - Finding Critical Values In constructing confidence...Ch. 7.3 - Finding Sample Size Instead of using Table 7-2 for...Ch. 7.4 - Replacement Why does the bootstrap method require...Ch. 7.4 - Bootstrap Sample Here is a random sample of...Ch. 7.4 - Bootstrap Sample Given the sample data from...Ch. 7.4 - Prob. 4BSCCh. 7.4 - In Exercises 58, use the relatively small number...Ch. 7.4 - In Exercises 58, use the relatively small number...Ch. 7.4 - In Exercises 58, use the relatively small number...Ch. 7.4 - In Exercises 58, use the relatively small number...Ch. 7 - Celebrities and the Law Here is a 95% confidence...Ch. 7 - Interpreting CI Write a brief statement that...Ch. 7 - Critical Value For the survey described in...Ch. 7 - Loose Change USA Today reported that 40% of people...Ch. 7 - Sample Size for Proportion Find the sample size...Ch. 7 - Sample Size for Mean Find the sample size required...Ch. 7 - Requirements A quality control analyst has...Ch. 7 - Degrees of Freedom In general, what does degrees...Ch. 7 - Critical Value Refer to Exercise 7 Requirements...Ch. 7 - Which Method? Refer to Exercise 7 Requirements and...Ch. 7 - Online News In a Harris poll of 2036 adults, 40%...Ch. 7 - Computers In order to better plan for student...Ch. 7 - Earthquake Magnitudes Listed below are Richter...Ch. 7 - Lefties There have been several studies conducted...Ch. 7 - Distributions Identify the distribution (normal,...Ch. 7 - Sample Size You have been hired by your new...Ch. 7 - Wristwatch Accuracy Students of the author...Ch. 7 - Wristwatch Accuracy Use the sample data from...Ch. 7 - Flight Arrivals. Listed below are the arrival...Ch. 7 - Flight Arrivals. Listed below are the arrival...Ch. 7 - Flight Arrivals. Listed below are the arrival...Ch. 7 - Flight Arrivals. Listed below are the arrival...Ch. 7 - Normal Distribution Using a larger data set than...Ch. 7 - Sample Size Find the sample size necessary to...Ch. 7 - Prob. 7CRECh. 7 - Normality Assessment A random sample consists of...Ch. 7 - Critical Thinking: What does the survey tell us?...Ch. 7 - Critical Thinking: What does the survey tell us?...Ch. 7 - Critical Thinking: What does the survey tell us?...Ch. 7 - Critical Thinking: What does the survey tell us?...Ch. 7 - Critical Thinking: What does the survey tell us?...
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