Statistical Reasoning for Everyday Life Plus MyLab Statistics with Pearson eText -- 18 Week Access Card Package (5th Edition)
5th Edition
ISBN: 9780135990278
Author: Bennett, Jeffrey O., Briggs, William L., Triola, Mario F.
Publisher: PEARSON
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Textbook Question
Chapter 1.4, Problem 5E
Does It Make Sense? For Exercises 5–8, determine whether the statement makes sense (or is clearly true) or does not make sense (or is clearly false). Explain clearly; not all of these have definitive answers, so your explanation is more important than your chosen answer.
- 5. Large Survey. More than 1 million people sent texts in response to a TV survey question, so this survey result is clearly more valid than any survey of a few hundred people.
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3. Prove that, for any random variable X, the minimum of E(X - a)² is attained
for a = EX.
Proved
7. Cantelli's inequality. Let X be a random variable with finite variance, o².
(a) Prove that, for x ≥ 0,
P(X EX2x)≤
02
x² +0²
202
P(|X - EX2x)<≤
(b) Find X assuming two values where there is equality.
(c) When is Cantelli's inequality better than Chebyshev's inequality?
(d) Use Cantelli's inequality to show that med (X) - EX ≤ o√√3; recall,
from Proposition 6.1, that an application of Chebyshev's inequality yields
the bound o√√2.
(e) Generalize Cantelli's inequality to moments of order r 1.
The college hiking club is having a fundraiser to buy new equipment for fall and winter outings. The club is selling Chinese fortune cookies at a price of $2 per cookie. Each cookie contains a piece of paper with a different number written on it. A random drawing will determine which number is the winner of a dinner for two at a local Chinese restaurant. The dinner is valued at $32. Since fortune cookies are donated to the club, we can ignore the cost of the cookies. The club sold 718 cookies before the drawing. Lisa bought 13 cookies. Lisa's expected earnings can be found by multiplying the value of the dinner by the probability that she will win. What are Lisa's expected earnings? Round your answer to the nearest cent.
Chapter 1 Solutions
Statistical Reasoning for Everyday Life Plus MyLab Statistics with Pearson eText -- 18 Week Access Card Package (5th Edition)
Ch. 1.1 - Prob. 1ECh. 1.1 - Basic Definitions. Define the terms population,...Ch. 1.1 - Confidence Interval. What is a margin of error,...Ch. 1.1 - Statistical Process. Describe the five basic steps...Ch. 1.1 - Does It Make Sense? For Exercises 510, determine...Ch. 1.1 - Does It Make Sense? For Exercises 510, determine...Ch. 1.1 - Does It Make Sense? For Exercises 510, determine...Ch. 1.1 - Does It Make Sense? For Exercises 510, determine...Ch. 1.1 - Does It Make Sense? For Exercises 510, determine...Ch. 1.1 - Does It Make Sense? For Exercises 510, determine...
Ch. 1.1 - Prob. 11ECh. 1.1 - Population, Sample, Statistic, and Parameter....Ch. 1.1 - Population, Sample, Statistic, and Parameter....Ch. 1.1 - Population, Sample, Statistic, and Parameter....Ch. 1.1 - Identifying the Confidence Interval. In Exercises...Ch. 1.1 - Identifying the Confidence Interval. In Exercises...Ch. 1.1 - Identifying the Confidence Interval. In Exercises...Ch. 1.1 - Identifying the Confidence Interval. In Exercises...Ch. 1.1 - Identifying the Confidence Interval. In Exercises...Ch. 1.1 - Identifying the Confidence Interval. In Exercises...Ch. 1.1 - Forming Conclusions. For each of Exercises 2124,...Ch. 1.1 - Forming Conclusions. For each of Exercises 2124,...Ch. 1.1 - Forming Conclusions. For each of Exercises 2124,...Ch. 1.1 - Forming Conclusions. For each of Exercises 2124,...Ch. 1.1 - Interpreting Real Studies. For each of Exercises...Ch. 1.1 - Interpreting Real Studies. For each of Exercises...Ch. 1.1 - Interpreting Real Studies. For each of Exercises...Ch. 1.1 - Interpreting Real Studies. For each of Exercises...Ch. 1.1 - Five Steps in a Study. Describe how you would...Ch. 1.1 - Five Steps in a Study. Describe how you would...Ch. 1.1 - Five Steps in a Study. Describe how you would...Ch. 1.1 - Five Steps in a Study. Describe how you would...Ch. 1.2 - Census and Sample. What is a census, what is a...Ch. 1.2 - Representative Sample. What is a representative...Ch. 1.2 - Biased Sample. What is a biased sample, and what...Ch. 1.2 - Sampling Methods. List and define five common...Ch. 1.2 - Does It Make Sense? For Exercises 58, determine...Ch. 1.2 - Does It Make Sense? For Exercises 58, determine...Ch. 1.2 - Does It Make Sense? For Exercises 58, determine...Ch. 1.2 - Does It Make Sense? For Exercises 58, determine...Ch. 1.2 - Census. In Exercises 912, determine whether a...Ch. 1.2 - Census. In Exercises 912, determine whether a...Ch. 1.2 - Census. In Exercises 912, determine whether a...Ch. 1.2 - Census. In Exercises 912, determine whether a...Ch. 1.2 - Representative Samples? In Exercises 1316,...Ch. 1.2 - Representative Samples? In Exercises 1316,...Ch. 1.2 - Representative Samples? In Exercises 1316,...Ch. 1.2 - Representative Samples? In Exercises 1316,...Ch. 1.2 - Evaluate the Sample Choices. Exercises 17 and 18...Ch. 1.2 - Evaluate the Sample Choices. Exercises 17 and 18...Ch. 1.2 - Bias. In Exercises 1922, determine whether there...Ch. 1.2 - Bias. In Exercises 1922, determine whether there...Ch. 1.2 - Bias. In Exercises 1922, determine whether there...Ch. 1.2 - Bias. In Exercises 1922, determine whether there...Ch. 1.2 - Sampling Methods. In Exercises 2338, identify...Ch. 1.2 - Sampling Methods. In Exercises 2338, identify...Ch. 1.2 - Sampling Methods. In Exercises 2338, identify...Ch. 1.2 - Sampling Methods. In Exercises 2338, identify...Ch. 1.2 - Sampling Methods. In Exercises 2338, identify...Ch. 1.2 - Sampling Methods. In Exercises 2338, identify...Ch. 1.2 - Sampling Methods. In Exercises 2338, identify...Ch. 1.2 - Sampling Methods. In Exercises 2338, identify...Ch. 1.2 - Sampling Methods. In Exercises 2338, identify...Ch. 1.2 - Sampling Methods. In Exercises 2338, identify...Ch. 1.2 - Sampling Methods. In Exercises 2338, identify...Ch. 1.2 - Sampling Methods. In Exercises 2338, identify...Ch. 1.2 - Sampling Methods. In Exercises 2338, identify...Ch. 1.2 - Sampling Methods. In Exercises 2338, identify...Ch. 1.2 - Sampling Methods. In Exercises 2338, identify...Ch. 1.2 - Sampling Methods. In Exercises 2338, identify...Ch. 1.2 - Choosing Sampling Methods. For each of Exercises...Ch. 1.2 - Prob. 40ECh. 1.2 - Prob. 41ECh. 1.2 - Choosing Sampling Methods. For each of Exercises...Ch. 1.3 - Variables. Define variable, variables, of...Ch. 1.3 - Confounding. In testing the effectiveness of a new...Ch. 1.3 - Placebo. What is a placebo, and why is it...Ch. 1.3 - Blinding. What is blinding, and why is it...Ch. 1.3 - Does It Make Sense? For Exercises 58, determine...Ch. 1.3 - Does It Make Sense? For Exercises 58, determine...Ch. 1.3 - Does It Make Sense? For Exercises 58, determine...Ch. 1.3 - Does It Make Sense? For Exercises 58, determine...Ch. 1.3 - Type of Study. For Exercises 920, determine...Ch. 1.3 - Type of Study. For Exercises 920, determine...Ch. 1.3 - Type of Study. For Exercises 920, determine...Ch. 1.3 - Type of Study. For Exercises 920, determine...Ch. 1.3 - Type of Study. For Exercises 920, determine...Ch. 1.3 - Type of Study. For Exercises 920, determine...Ch. 1.3 - Type of Study. For Exercises 920, determine...Ch. 1.3 - Type of Study. For Exercises 920, determine...Ch. 1.3 - Type of Study. For Exercises 920, determine...Ch. 1.3 - Type of Study. For Exercises 920, determine...Ch. 1.3 - Type of Study. For Exercises 920, determine...Ch. 1.3 - Type of Study. For Exercises 920, determine...Ch. 1.3 - Confounding. For each of the studies described in...Ch. 1.3 - Confounding. For each of the studies described in...Ch. 1.3 - Confounding. For each of the studies described in...Ch. 1.3 - Confounding. For each of the studies described in...Ch. 1.3 - Confounding. For each of the studies described in...Ch. 1.3 - Confounding. For each of the studies described in...Ch. 1.3 - Confounding. For each of the studies described in...Ch. 1.3 - Confounding. For each of the studies described in...Ch. 1.3 - Analyzing Experiments. Exercises 2932 present...Ch. 1.3 - Analyzing Experiments. Exercises 2932 present...Ch. 1.3 - Analyzing Experiments. Exercises 2932 present...Ch. 1.3 - Analyzing Experiments. Exercises 2932 present...Ch. 1.4 - Critical Evaluation. Briefly describe the eight...Ch. 1.4 - Peer Review. What is peer review? How is it...Ch. 1.4 - Selection Bias and Participation Bias. Describe...Ch. 1.4 - Self-Selected Surveys. Why are self-selected...Ch. 1.4 - Does It Make Sense? For Exercises 58, determine...Ch. 1.4 - Does It Make Sense? For Exercises 58, determine...Ch. 1.4 - Does It Make Sense? For Exercises 58, determine...Ch. 1.4 - Does It Make Sense? For Exercises 58, determine...Ch. 1.4 - Applying Guidelines. In Exercises 916, determine...Ch. 1.4 - Applying Guidelines. In Exercises 916, determine...Ch. 1.4 - Applying Guidelines. In Exercises 916, determine...Ch. 1.4 - Applying Guidelines. In Exercises 916, determine...Ch. 1.4 - Applying Guidelines. In Exercises 916, determine...Ch. 1.4 - Applying Guidelines. In Exercises 916, determine...Ch. 1.4 - Applying Guidelines. In Exercises 916, determine...Ch. 1.4 - Applying Guidelines. In Exercises 916, determine...Ch. 1.4 - Bias. In each of Exercises 1720, identify and...Ch. 1.4 - Bias. In each of Exercises 1720, identify and...Ch. 1.4 - Bias. In each of Exercises 1720, identify and...Ch. 1.4 - Bias. In each of Exercises 1720, identify and...Ch. 1.4 - Its All in the Wording. Princeton Survey Research...Ch. 1.4 - Tax or Spend? A Gallup poll asked the following...Ch. 1.4 - Accurate Headlines? Exercises 23 and 24 give a...Ch. 1.4 - Accurate Headlines? Exercises 23 and 24 give a...Ch. 1.4 - Stat Bites. Politicians commonly believe that they...Ch. 1.4 - Stat Bites. Politicians commonly believe that they...Ch. 1.4 - Stat Bites. Politicians commonly believe that they...Ch. 1.4 - Stat Bites. Politicians commonly believe that they...Ch. 1 - Medication Usage In a survey of 3005 adults aged...Ch. 1 - Simple Random Sample. An important element of this...Ch. 1 - Echinacea Treatment. Rhinoviruses typically cause...Ch. 1 - Wording of a Survey Question. In The...Ch. 1 - In Exercises 15, assume that you conduct a survey...Ch. 1 - In Exercises 15, assume that you conduct a survey...Ch. 1 - In Exercises 15, assume that you conduct a survey...Ch. 1 - In Exercises 15, assume that you conduct a survey...Ch. 1 - In Exercises 15, assume that you conduct a survey...Ch. 1 - In Exercises 610, consider a clinical trial...Ch. 1 - In Exercises 610, consider a clinical trial...Ch. 1 - In Exercises 610, consider a clinical trial...Ch. 1 - In Exercises 610, consider a clinical trial...Ch. 1 - In Exercises 610, consider a clinical trial...Ch. 1 - In a Marist Poll, respondents chose the most...Ch. 1 - From the poll results given in Exercise 11, can we...Ch. 1 - Consider a study in which you measure the weights...Ch. 1 - Consider a survey of randomly selected people in...Ch. 1 - If a statistical study is carefully conducted in...Ch. 1 - Public Health Is Your Lifestyle Healthy? Consider...Ch. 1 - Prob. 2.3FCh. 1 - Prob. 2.5F
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- The Honolulu Advertiser stated that in Honolulu there was an average of 659 burglaries per 400,000 households in a given year. In the Kohola Drive neighborhood there are 321 homes. Let r be the number of homes that will be burglarized in a year. Use the formula for Poisson distribution. What is the value of p, the probability of success, to four decimal places?arrow_forwardThe college hiking club is having a fundraiser to buy new equipment for fall and winter outings. The club is selling Chinese fortune cookies at a price of $2 per cookie. Each cookie contains a piece of paper with a different number written on it. A random drawing will determine which number is the winner of a dinner for two at a local Chinese restaurant. The dinner is valued at $32. Since fortune cookies are donated to the club, we can ignore the cost of the cookies. The club sold 718 cookies before the drawing. Lisa bought 13 cookies. Lisa's expected earnings can be found by multiplying the value of the dinner by the probability that she will win. What are Lisa's expected earnings? Round your answer to the nearest cent.arrow_forwardWhat was the age distribution of nurses in Great Britain at the time of Florence Nightingale? Thanks to Florence Nightingale and the British census of 1851, we have the following information (based on data from the classic text Notes on Nursing, by Florence Nightingale). Note: In 1851 there were 25,466 nurses in Great Britain. Furthermore, Nightingale made a strict distinction between nurses and domestic servants. Use a histogram and graph the probability distribution. Using the graph of the probability distribution determine the probability that a British nurse selected at random in 1851 would be 40 years of age or older. Round your answer to nearest thousandth. Age range (yr) 20–29 30–39 40–49 50–59 60–69 70–79 80+ Midpoint (x) 24.5 34.5 44.5 54.5 64.5 74.5 84.5 Percent of nurses 5.7% 9.7% 19.5% 29.2% 25.0% 9.1% 1.8%arrow_forward
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