Introduction To Statistics And Data Analysis
6th Edition
ISBN: 9781337793612
Author: PECK, Roxy.
Publisher: Cengage Learning,
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Chapter 3, Problem 5CRE
“More than half of California’s doctors say they are so frustrated with managed care they will quit, retire early, or leave the state within three years.” This conclusion from an article titled “Doctors Feeling Pessimistic, Study Finds” (San Luis Obispo Tribune, July 15, 2001) was based on a mail survey conducted by the California Medical Association. Surveys were mailed to 19,000 California doctors, and 2000 completed surveys were returned. Describe any concerns you have regarding the conclusion drawn.
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Suppose that you flip a coin four times,
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Consider tossing a fair coin 10 times and
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a. How many possible outcomes would
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in 10 flips?
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22
Bob decides that after his heart attack is a
good time to get in shape, so he starts exer-
cising each day and plans to increase his
exercise time as he goes along. Look at the
two line graphs shown in the following fig-
ures. One is a good representation of his
data, and the other should get as much use
as Bob's treadmill before his heart attack.
Exercise time
40
Line Graph 1 of Exercise Log
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30-
25
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20
Exercise time
80
80
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1
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30
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40 50 60
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50
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Line Graph 2 of Exercise Log
1
10 20
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30
30 40 50 60 70 80 90 100
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sent the same data set, or do they show
totally different data sets?
b. Assume that both graphs are made from
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Chapter 3 Solutions
Introduction To Statistics And Data Analysis
Ch. 3.1 - Each person in a nationally representative sample...Ch. 3.1 - The graphical display on the next page is similar...Ch. 3.1 - The survey referenced in the previous exercise was...Ch. 3.1 - The National Confectioners Association asked 1006...Ch. 3.1 - College student attitudes about e-books were...Ch. 3.1 - The Center for Science in the Public Interest...Ch. 3.1 - Using the data given in the previous exercise,...Ch. 3.1 - The article Housework around the World (USA TODAY,...Ch. 3.1 - The authors of the report Findings from the 2009...Ch. 3.1 - The survey on student attitude toward e-books...
Ch. 3.1 - During 2017, Gallup conducted a survey of adult...Ch. 3.1 - An article about college loans (New Rules Would...Ch. 3.1 - The report Findings From the 2014 College Senior...Ch. 3.2 - The National Center for Health Statistics provided...Ch. 3.2 - The paper State-Level Cancer Mortality...Ch. 3.2 - The accompanying data on seat belt use for each of...Ch. 3.2 - The previous exercise gave data on seat belt use...Ch. 3.2 - The U.S. Department of Health and Human Services...Ch. 3.2 - The article Economy Low, Generosity High (USA...Ch. 3.2 - The U.S. gasoline tax per gallon data for each of...Ch. 3.2 - A report from Texas Transportation Institute...Ch. 3.2 - The percentage of teens not in school or working...Ch. 3.3 - The data in the accompanying table are from the...Ch. 3.3 - The accompanying data on annual maximum wind speed...Ch. 3.3 - The accompanying relative frequency table is based...Ch. 3.3 - The data in the accompanying table represents the...Ch. 3.3 - Construct a histogram for the data in the previous...Ch. 3.3 - The following two relative frequency distributions...Ch. 3.3 - U.S. Census data for San Luis Obispo County,...Ch. 3.3 - Use the commute time data given in the previous...Ch. 3.3 - The report Trends in College Pricing 2012...Ch. 3.3 - An exam is given to students in an introductory...Ch. 3.3 - The accompanying frequency distribution summarizes...Ch. 3.3 - Example 3.19 used annual rainfall data for...Ch. 3.3 - Use the relative frequency distribution...Ch. 3.3 - Prob. 37ECh. 3.3 - Use the cumulative relative frequencies given in...Ch. 3.3 - Using the five class intervals 100 to 120, 120 to...Ch. 3.4 - The accompanying table gives data from a survey of...Ch. 3.4 - Consumer Reports Health (consumerreports.org) gave...Ch. 3.4 - Consumer Reports rated 29 fitness trackers (such...Ch. 3.4 - Consumer Reports (consumerreports.org) rated 37...Ch. 3.4 - The Solid Waste Management section of the...Ch. 3.4 - The report Daily Cigarette Use: Indicators on...Ch. 3.4 - The accompanying time series plot of movie box...Ch. 3.5 - The accompanying comparative bar chart is similar...Ch. 3.5 - The figure at the top left of the next page is...Ch. 3.5 - The figure at the top right of the next page is...Ch. 3.5 - The two graphical displays below are similar to...Ch. 3.5 - The following graphical display is similar to one...Ch. 3.5 - Explain why the following graphical display...Ch. 3 - Each year, The Princeton Review conducts surveys...Ch. 3 - Prob. 55CRCh. 3 - Prob. 56CRCh. 3 - Prob. 57CRCh. 3 - Prob. 58CRCh. 3 - Does the size of a transplanted organ matter? A...Ch. 3 - Prob. 60CRCh. 3 - The article Tobacco and Alcohol Use in G-Rated...Ch. 3 - Prob. 62CRCh. 3 - Prob. 63CRCh. 3 - Many nutritional experts have expressed concern...Ch. 3 - Americium 241 (241Am) is a radioactive material...Ch. 3 - Does eating broccoli reduce the risk of prostate...Ch. 3 - An article that appeared in USA TODAY (August 11,...Ch. 3 - Sometimes samples are composed entirely of...Ch. 3 - Prob. 4CRECh. 3 - More than half of Californias doctors say they are...Ch. 3 - Based on observing more than 400 drivers in the...Ch. 3 - An article from the Associated Press (May 14,...Ch. 3 - Prob. 8CRECh. 3 - Prob. 9CRECh. 3 - Prob. 10CRECh. 3 - The article Determination of Most Representative...Ch. 3 - The paper Lessons from Pacemaker Implantations...Ch. 3 - How does the speed of a runner vary over the...Ch. 3 - Prob. 14CRECh. 3 - One factor in the development of tennis elbow, a...Ch. 3 - An article that appeared in USA TODAY (September...
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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Similar questions
- 8 Suppose that a small town has five people with a rare form of cancer. Does this auto- matically mean a huge problem exists that needs to be addressed?arrow_forward1 M&Ms colors come in the following percent- ages: 13 percent brown, 14 percent yellow, 13 percent red, 24 percent blue, 20 percent orange, and 16 percent green. Reach into a bag of M&Ms without looking. a. What's the chance that you pull out a brown or yellow M&M? b. What's the chance that you won't pull out a blue? swarrow_forward11. Prove or disprove: (a) If is a characteristic function, then so is ²; (b) If is a non-negative characteristic function, then so is √√4.arrow_forward
- 4. Suppose that P(X = 1) = P(X = -1) = 1/2, that Y = U(-1, 1) and that X and Y are independent. (a) Show, by direct computation, that X + Y = U(-2, 2). (b) Translate the result to a statement about characteristic functions. (c) Which well-known trigonometric formula did you discover?arrow_forward9. The concentration function of a random variable X is defined as Qx(h) = sup P(x ≤ X ≤x+h), h>0. x (a) Show that Qx+b (h) = Qx(h). (b) Is it true that Qx(ah) =aQx(h)? (c) Show that, if X and Y are independent random variables, then Qx+y (h) min{Qx(h). Qy (h)). To put the concept in perspective, if X1, X2, X, are independent, identically distributed random variables, and S₁ = Z=1Xk, then there exists an absolute constant, A, such that A Qs, (h) ≤ √n Some references: [79, 80, 162, 222], and [204], Sect. 1.5.arrow_forward29 Suppose that a mound-shaped data set has a must mean of 10 and standard deviation of 2. a. About what percentage of the data should lie between 6 and 12? b. About what percentage of the data should lie between 4 and 6? c. About what percentage of the data should lie below 4? 91002 175/1 3arrow_forward
- 2,3, ample and rical t? the 28 Suppose that a mound-shaped data set has a mean of 10 and standard deviation of 2. a. About what percentage of the data should lie between 8 and 12? b. About what percentage of the data should lie above 10? c. About what percentage of the data should lie above 12?arrow_forward27 Suppose that you have a data set of 1, 2, 2, 3, 3, 3, 4, 4, 5, and you assume that this sample represents a population. The mean is 3 and g the standard deviation is 1.225.10 a. Explain why you can apply the empirical rule to this data set. b. Where would "most of the values" in the population fall, based on this data set?arrow_forward30 Explain how you can use the empirical rule to find out whether a data set is mound- shaped, using only the values of the data themselves (no histogram available).arrow_forward
- 5. Let X be a positive random variable with finite variance, and let A = (0, 1). Prove that P(X AEX) 2 (1-A)² (EX)² EX2arrow_forward6. Let, for p = (0, 1), and xe R. X be a random variable defined as follows: P(X=-x) = P(X = x)=p. P(X=0)= 1-2p. Show that there is equality in Chebyshev's inequality for X. This means that Chebyshev's inequality, in spite of being rather crude, cannot be improved without additional assumptions.arrow_forward4. Prove that, for any random variable X, the minimum of EIX-al is attained for a = med (X).arrow_forward
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