Introduction To Statistics And Data Analysis
6th Edition
ISBN: 9781337793612
Author: PECK, Roxy.
Publisher: Cengage Learning,
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Chapter 2.1, Problem 1E
The article “How Dangerous Is a Day in the Hospital?” (Medical Care [2011]; 1068–1075) describes a study to determine if the risk of an infection is related to the length of a hospital stay. The researchers looked at a large number of hospitalized patients and compared the proportion who got an infection for two groups of patients—those who were hospitalized overnight and those who were hospitalized for more than one night. Indicate whether the study is an observational study or an experiment. Give a brief explanation for your choice.
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In order to find probability, you can use this formula in Microsoft Excel:
The best way to understand and solve these problems is by first drawing a bell curve and marking key points such as x, the mean, and the areas of interest. Once marked on the bell curve, figure out what calculations are needed to find the area of interest.
=NORM.DIST(x, Mean, Standard Dev., TRUE).
When the question mentions “greater than” you may have to subtract your answer from 1.
When the question mentions “between (two values)”, you need to do separate calculation for both values and then subtract their results to get the answer.
1.
Compute the probability of a value between 44.0 and 55.0.
(The question requires finding probability value between 44 and 55. Solve it in 3 steps.
In the first step, use the above formula and x = 44, calculate probability value.
In the second step repeat the first step with the only difference that x=55.
In the third step, subtract the answer of the first part from the…
If a uniform distribution is defined over the interval from 6 to 10, then answer the followings:
What is the mean of this uniform distribution?
Show that the probability of any value between 6 and 10 is equal to 1.0
Find the probability of a value more than 7.
Find the probability of a value between 7 and 9.
The closing price of Schnur Sporting Goods Inc. common stock is uniformly distributed between $20 and $30 per share. What is the probability that the stock price will be:
More than $27?
Less than or equal to $24?
The April rainfall in Flagstaff, Arizona, follows a uniform distribution between 0.5 and 3.00 inches.
What is the mean amount of rainfall for the month?
What is the probability of less than an inch of rain for the month?
What is the probability of exactly 1.00 inch of rain?
What is the probability of more than 1.50 inches of rain for the month?
The best way to solve this problem is begin by creating a chart. Clearly mark the range, identifying the lower and upper…
Problem 1:
The mean hourly pay of an American Airlines flight attendant is normally distributed with a mean of 40 per hour and a standard deviation of 3.00 per hour. What is the probability that the hourly pay of a randomly selected flight attendant is:
Between the mean and $45 per hour?
More than $45 per hour?
Less than $32 per hour?
Problem 2:
The mean of a normal probability distribution is 400 pounds. The standard deviation is 10 pounds.
What is the area between 415 pounds and the mean of 400 pounds?
What is the area between the mean and 395 pounds?
What is the probability of randomly selecting a value less than 395 pounds?
Problem 3:
In New York State, the mean salary for high school teachers in 2022 was 81,410 with a standard deviation of 9,500. Only Alaska’s mean salary was higher. Assume New York’s state salaries follow a normal distribution.
What percent of New York State high school teachers earn between 70,000 and 75,000?
What percent of New York State high school…
Chapter 2 Solutions
Introduction To Statistics And Data Analysis
Ch. 2.1 - The article How Dangerous Is a Day in the...Ch. 2.1 - The authors of the paper Fudging the Numbers:...Ch. 2.1 - The article Why We Fall for This (AARP Magazine,...Ch. 2.1 - The article Adolescents Living the 24/7 Lifestyle:...Ch. 2.1 - The article Acupuncture for Bad Backs: Even Sham...Ch. 2.1 - The article Display of Health Risk Behaviors on...Ch. 2.1 - The article Popping Cork Sound Makes Wine Taste...Ch. 2.1 - Fruit Juice May Be Fueling Pudgy Preschoolers,...Ch. 2.1 - The article Americans are Getting the Wrong Idea...Ch. 2.1 - Based on a survey conducted on the eDiets.com web...
Ch. 2.1 - A survey of adult Americans who are Internet users...Ch. 2.1 - Does sitting for long periods of time hurt your...Ch. 2.2 - A New York psychologist recommends that if you...Ch. 2.2 - As part of a curriculum review, a psychology...Ch. 2.2 - A petition with 500 signatures is submitted to a...Ch. 2.2 - The article Bicyclists and Other Cyclists (Annals...Ch. 2.2 - The article Teenage Physical Activity Reduces Risk...Ch. 2.2 - For each of the situations described, state...Ch. 2.2 - Of the 6500 students enrolled at a community...Ch. 2.2 - Briefly explain why it is advisable to avoid the...Ch. 2.2 - A sample of pages from this book is to be...Ch. 2.2 - The chairman of a California ballot initiative...Ch. 2.2 - The authors of the paper Digital Inequality:...Ch. 2.2 - The 2013 National Study of Substance Use Habits of...Ch. 2.2 - The paper Deception and Design: The Impact of...Ch. 2.2 - The authors of the paper Playing by the Rules:...Ch. 2.2 - Participants in a study of honesty in online...Ch. 2.2 - The article Credit Card Activity for College...Ch. 2.2 - The financial aid advisor of a university plans to...Ch. 2.2 - Suppose that you were asked to help design a...Ch. 2.2 - The article High Levels of Mercury Are Found in...Ch. 2.2 - Whether or not to continue a Mardi Gras Parade...Ch. 2.3 - The head of the quality control department at a...Ch. 2.3 - A study of college students showed a temporary...Ch. 2.3 - According to the article Rubbing Hands Together...Ch. 2.3 - The following is from an article titled After the...Ch. 2.3 - The report Comparative Study of Two Computer Mouse...Ch. 2.3 - The Institute of Psychiatry at Kings College...Ch. 2.3 - In an experiment to compare two different surgical...Ch. 2.3 - In many digital environments, users are allowed to...Ch. 2.3 - Does playing action video games provide more than...Ch. 2.3 - Construct a diagram to represent the note-taking...Ch. 2.3 - Construct a diagram to represent the gasoline...Ch. 2.3 - An advertisement for a sweatshirt that appeared in...Ch. 2.3 - The paper Turning to Learn: Screen Orientation and...Ch. 2.3 - Consider the study described in the previous...Ch. 2.3 - The Pew Research Center conducted a study of...Ch. 2.3 - Consider the study described in the previous...Ch. 2.3 - Red wine contains flavonol, an antioxidant thought...Ch. 2.4 - Explain why some studies include both a control...Ch. 2.4 - Explain why blinding is a reasonable strategy in...Ch. 2.4 - Give an example of an experiment for each of the...Ch. 2.4 - The article Study Points to Benefits of Knee...Ch. 2.4 - In an experiment to compare two different surgical...Ch. 2.4 - The article Placebos Are Getting More Effective....Ch. 2.4 - The article Yes That Miley Cyrus Biography Helps...Ch. 2.4 - Suppose that the researchers who carried out the...Ch. 2.4 - The article Doctor Dogs Diagnose Cancer by...Ch. 2.4 - Pismo Beach, California, has an annual clam...Ch. 2.4 - The San Luis Obispo Tribune (May 7, 2002) reported...Ch. 2.4 - The article A Debate in the Dentists Chair (San...Ch. 2.5 - The article Effects of Too Much TV Can Be Undone...Ch. 2.5 - Prob. 66ECh. 2 - A mortgage lender routinely places advertisements...Ch. 2 - The article Rethinking Calcium Supplements (US...Ch. 2 - A pollster for the Public Policy Institute of...Ch. 2 - A study in Florida is examining whether health...Ch. 2 - The press release Men Need to Man Up, According to...Ch. 2 - A news release from Intel Intels Security...Ch. 2 - USA TODAY (August 25, 2015) reported that American...Ch. 2 - The paper Effect of a Nutritional Supplement on...Ch. 2 - A manufacturer of clay roofing tiles would like to...Ch. 2 - A tropical forest survey conducted by Conservation...
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