Understanding Basic Statistics
8th Edition
ISBN: 9781337672320
Author: BRASE
Publisher: Cengage
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Textbook Question
Chapter 2.2, Problem 6P
Interpretation Consider the two graphs depicting the influence of advertisements on making large purchases for two different age groups, those 18 to 34 years old and those 45 to 54 years old (based on a Harris Poll of about 2500 adults aged 18 or older). Note: Other responses such as "not sure" and "not applicable" were also possible.
Influence of Advertising on Most Recent Large Purchase
(a) Taking a quick glance at the graphs, Jenna thought that there was very little difference (maybe less than 1%) in the percentage of the two age groups who said that ads were influential. How would you change the graphs so that Jenna would not be misled so easily? Hint: Look at the vertical scales of the two graphs.
(b) Take the information from the two graphs and make a cluster bar graph showing the percentage by age group reporting to be influenced by ads and those reporting they were not influenced by ads.
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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 2 Solutions
Understanding Basic Statistics
Ch. 2.1 - Statistical Literacy What is the difference...Ch. 2.1 - Statistical Literacy A data set has values ranging...Ch. 2.1 - Statistical Literacy A data set has values ranging...Ch. 2.1 - Statistical Literacy A data set has value ranging...Ch. 2.1 - Basic Computation: Class Limits A data set with...Ch. 2.1 - Basic Computation: Class limits A data set with...Ch. 2.1 - Interpretation You are manager of a specialty...Ch. 2.1 - Critical Thinking A web site rated 100 colleges...Ch. 2.1 - Critical Thinking Look at the histogram in Figure...Ch. 2.1 - Critical Thinking The following data represent...
Ch. 2.1 - Interpretation Histograms of random sample data...Ch. 2.1 - Interpretation The following histograms are based...Ch. 2.1 - Interpretation The ogives shown are based on U.S...Ch. 2.1 - Critical Thinking The following ogives come from...Ch. 2.1 - For Problems 15-20. use the specified number of...Ch. 2.1 - For Problems 15-20, use the specified number of...Ch. 2.1 - For Problems 15-20, use the specified number of...Ch. 2.1 - For Problems 15-20, use the specified number of...Ch. 2.1 - For Problems 15-20, use the specified number of...Ch. 2.1 - For Problems 15-20. use the specified number of...Ch. 2.1 - Expand Your knowledge: Decimal Data The fallowing...Ch. 2.1 - Decimal Data: Batting Averages The following data...Ch. 2.1 - Expand Your Knowledge: Dotplot another display...Ch. 2.1 - 24. Dotplot: Sled Dog Racing Make a dotplot for...Ch. 2.1 - Prob. 25PCh. 2.2 - 1. Interpretation Consider graph (a) of Reasons...Ch. 2.2 - Interpretation Look at graph (b) of Reasons People...Ch. 2.2 - Critical Thinking A personnel office is gathering...Ch. 2.2 - Critical Thinking Your friend is thinking about...Ch. 2.2 - Education: Does College Pay Off? It is costly in...Ch. 2.2 - Interpretation Consider the two graphs depicting...Ch. 2.2 - Commercial Fishing: Gulf of Alaska It's not an...Ch. 2.2 - Archaeology: Ireland Commercial dredging...Ch. 2.2 - Lifestyle: Hide the Mess! A survey of 1000 adults...Ch. 2.2 - Education: College Professors' Time How do college...Ch. 2.2 - FBI Report: Hawaii In the Aloha state, you are...Ch. 2.2 - Driving: Bad Habits Driving would be more pleasant...Ch. 2.2 - 13Ecology: Lakes Pyramid Lake, Nevada, is...Ch. 2.2 - Vital Statistics: Height How dies average height...Ch. 2.2 - Expand Your Knowledge Donut Pie Charts The book...Ch. 2.2 - Technology: Cars The following cluster bar graph...Ch. 2.3 - Cowboys: Longevity How long did real cowboys live?...Ch. 2.3 - Ecology: Habitat Wetlands offer a diversity of...Ch. 2.3 - Health Care: Hospitals The American Medical...Ch. 2.3 - Health Care: Hospitals Using the number of...Ch. 2.3 - Expand Your knowledge: Split Stem The Boston...Ch. 2.3 - Split Stem: Golf The U.S. Open Golf Tournament was...Ch. 2.3 - Are cigarettes bad for people? Cigarette smoking...Ch. 2.3 - Are cigarettes bad for people? Cigarette smoking...Ch. 2.3 - Are cigarettes bad for people? Cigarette smoking...Ch. 2.3 - Expand Your Knowledge: Back-to-Back Stem Plot In...Ch. 2 - Terminology Consider the following graph types:...Ch. 2 - Terminology Whichtype(s) of data can be shown in a...Ch. 2 - Terminology Which type(s) of data can be shown in...Ch. 2 - Terminology Which graphical display shows each...Ch. 2 - Terminology If a histogram is skewed left, more of...Ch. 2 - Terminology How are data plotted in a time-series...Ch. 2 - Critical Thinking Consider these types of graphs:...Ch. 2 - Critical Thinking A consumer interest group is...Ch. 2 - Critical Thinking Describe how data outliers might...Ch. 2 - Expand Your Knowledge How are dotplots and...Ch. 2 - Focus Problem: Fuel Economy Solve the focus...Ch. 2 - Criminal Justice: Prisoners The time plot in...Ch. 2 - IRS: Tax Returns Almost everyone files (or will...Ch. 2 - Law Enforcement: DUI Driving under the influence...Ch. 2 - Agriculture: Apple Trees The following data...Ch. 2 - Law: Corporation Lawsuits Many people say the...Ch. 2 - Archaeology: Tree-King DataThe Sand Canyon...Ch. 2 - Interpretation A Harm Poll surveyed 2085 U.S....Ch. 2 - Examine Figure 2-20, Everyone Agrees: Slobs Make...Ch. 2 - Examine Figure 2-21, Global Teen Worries. How many...Ch. 2 - In your own words, explain the differences among...Ch. 2 - What do we mean when we say a histogram is skewed...Ch. 2 - Discuss the statement that stem-and-leaf displays...Ch. 2 - The following tables show the first-round winning...Ch. 2 - The following tables show the first-round winning...Ch. 2 - The Following tables show the first-round winning...
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