Introductory Statistics (2nd Edition)
2nd Edition
ISBN: 9780321978271
Author: Robert Gould, Colleen N. Ryan
Publisher: PEARSON
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Textbook Question
Chapter 2, Problem 68CRE
Shoe Sizes The graph shows shoe sizes for men and women. Compare shapes, centers, and spreads, and mention if there are outliers.
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Question 3
The following stem-and-leaf displays the weekly salary of employees at this firm.
Stem-and-Leaf Display
Leaf Unit = 10.0
N=x
5
3 00123
12 4 0125888
(y)
5 11234456777
z
6 13568
5
7 154
2
8 46
i.
Determine the value of x, y and z.
[3]
ii. What is the value of the median?
[2]
iii.
Find the mode of this data set.
iv.
Calculate the range
[1]
[2]
Let Y be a continuous RV with PDF
otherwise
Find the CDF, Fry), of Y .
Find an expression for pth, p € (0, 1), quantile of the distribution.
Find E(Y) and V(Y).
Find E(-2Y + 1) and V(-3Y - 2).
Find E(Y3).
Let X be a continuous RV with CDF
Find P(X < 0), P(-1 < X < 1) and P(0.5 < X).
Based on your answers to the above questions, what is the median of the distribu-tion? Why
Find the PDF, fx (x), of X.
Chapter 2 Solutions
Introductory Statistics (2nd Edition)
Ch. 2 - Body Mass Index The Dotplot shows body mass index...Ch. 2 - Cholesterol Levels The dotplot shows the...Ch. 2 - Ages of CEOs The histogram shows frequencies for...Ch. 2 - Sleep Hours The relative frequency histogram shows...Ch. 2 - Televisions (Example 1) The histogram shows the...Ch. 2 - Exercise Hours The histogram shows the...Ch. 2 - Shoes The graph is a dotplot of the number of...Ch. 2 - Condo Rental The dotplot shows rental prices per...Ch. 2 - Speeding Tickets (Example 2) A teacher asks 90...Ch. 2 - Breakfast Predict the shape of the distribution of...
Ch. 2 - Arm spans (Example 3) According to the ancient...Ch. 2 - Tuition The distribution of in-state annual...Ch. 2 - Ages of CEOs (Example 4) From the histogram in...Ch. 2 - Sleep Hours From the histogram shown in Exercise...Ch. 2 - Commute Times (Example 5) Use the histograms to...Ch. 2 - Spending on Clothes The histograms show the...Ch. 2 - Education (Example 6) In 2012, the General Social...Ch. 2 - Siblings The histogram shows the distribution of...Ch. 2 - Years of Education The GSS asked people how many...Ch. 2 - Hours Worked In the 2012 General Social Survey,...Ch. 2 - Matching Histograms match each of the following...Ch. 2 - Matching Histograms Match each of the following...Ch. 2 - Matching Match each description with the correct...Ch. 2 - Matching Match each description with the correct...Ch. 2 - Eating Out and jobs College students Jacqueline...Ch. 2 - Comparing Weights of Baseball and Soccer Players...Ch. 2 - Textbook Prices The table shows prices of 50...Ch. 2 - SAT scores The following table shows a random...Ch. 2 - Animal Longevity The following table in Exercise...Ch. 2 - Animal Gestation Periods The accompanying table...Ch. 2 - Tax Rate A StatCrunch survey asked people what...Ch. 2 - Pets A StatCrunch survey asked people whether they...Ch. 2 - Law School Tuition Data are shown for the cost of...Ch. 2 - Text Messages Recently, 115 users of StatCrunch...Ch. 2 - Beer, Calories Data are available on the number of...Ch. 2 - Beer, Alcohol Data are available on the percent...Ch. 2 - Changing Multiple-Choice Answers When Told Not to...Ch. 2 - Preventable Deaths According to the World Health...Ch. 2 - U.S. Distribution of wealth (Example 8) Michael...Ch. 2 - Education The graph shows the education of...Ch. 2 - Political Party Affiliation: Men The 2012 General...Ch. 2 - Political Party Affiliation Women The 2012 General...Ch. 2 - Prob. 43SECh. 2 - Retail Car Sales With gas prices rising, as they...Ch. 2 - Majors The table gives information on college...Ch. 2 - Adoptions The table gives information on the top...Ch. 2 - Garage The accompanying graph shows the...Ch. 2 - Body Image A student has gathered data on...Ch. 2 - Pie Chart of Sleep Hours The pie chart reports the...Ch. 2 - Age and Gender The following graph shows the ages...Ch. 2 - Musicians Survey: StatCrunch Graph The...Ch. 2 - Cell Phone Use Refer to the accompanying bar...Ch. 2 - Television The table shows the first few entries...Ch. 2 - Job The table shows the job categories for some...Ch. 2 - Hormone Replacement Therapy The use of the drug...Ch. 2 - E-Music The bar graph shows information reported...Ch. 2 - Hormone Replacement Therapy Again The following...Ch. 2 - Holding Your Breath A group of students held their...Ch. 2 - Global Temperatures The histograms show the...Ch. 2 - Employment after Law School Accredited law schools...Ch. 2 - Position for Breathing The graph shows the results...Ch. 2 - Opinions on Global Warming People were asked...Ch. 2 - Create a dotplot that has at least 10 observations...Ch. 2 - Create a dotplot that has at least 10 observations...Ch. 2 - Traffic Cameras College students Jeannette Mujica,...Ch. 2 - Ideal Weight Thirty-nine students (26 women and 13...Ch. 2 - MPH The graphs show the distribution of...Ch. 2 - Shoe Sizes The graph shows shoe sizes for men and...Ch. 2 - CEO Salaries Predict the shape of the distribution...Ch. 2 - Cigarettes A physician asks all of his patients to...Ch. 2 - Changing Multiple-Choice Answers When Told to Do...Ch. 2 - ER Visits for Injuries The graph shows the rates...
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- A survey of 581 citizens found that 313 of them favor a new bill introduced by the city. We want to find a 95% confidence interval for the true proportion of the population who favor the bill. What is the lower limit of the interval? Enter the result as a decimal rounded to 3 decimal digits. Your Answer:arrow_forwardLet X be a continuous RV with PDF where a > 0 and 0 > 0 are parameters. verify that f-∞ /x (x)dx = 1. Find the CDF, Fx (7), of X.arrow_forward6. [20] Let X be a continuous RV with PDF 2(1), 1≤x≤2 fx(x) = 0, otherwisearrow_forward
- A survey of 581 citizens found that 313 of them favor a new bill introduced by the city. We want to find a 95% confidence interval for the true proportion of the population who favor the bill. What is the lower limit of the interval? Enter the result as a decimal rounded to 3 decimal digits. Your Answer:arrow_forwardA survey of 581 citizens found that 313 of them favor a new bill introduced by the city. We want to find a 95% confidence interval for the true proportion of the population who favor the bill. What is the lower limit of the interval? Enter the result as a decimal rounded to 3 decimal digits. Your Answer:arrow_forward2. The SMSA data consisting of 141 observations on 10 variables is fitted by the model below: 1 y = Bo+B1x4 + ẞ2x6 + ẞ3x8 + √1X4X8 + V2X6X8 + €. See Question 2, Tutorial 3 for the meaning of the variables in the above model. The following results are obtained: Estimate Std. Error t value Pr(>|t|) (Intercept) 1.302e+03 4.320e+02 3.015 0.00307 x4 x6 x8 x4:x8 x6:x8 -1.442e+02 2.056e+01 -7.013 1.02e-10 6.340e-01 6.099e+00 0.104 0.91737 -9.455e-02 5.802e-02 -1.630 0.10550 2.882e-02 2.589e-03 11.132 1.673e-03 7.215e-04 2.319 F) x4 1 3486722 3486722 17.9286 4.214e-05 x6 1 14595537 x8 x4:x8 x6:x8 1 132.4836 < 2.2e-16 1045693 194478 5.3769 0.02191 1 1198603043 1198603043 6163.1900 < 2.2e-16 1 25765100 25765100 1045693 Residuals 135 26254490 Estimated variance matrix (Intercept) x4 x6 x8 x4:x8 x6:x8 (Intercept) x4 x6 x8 x4:x8 x6:x8 0.18875694 1.866030e+05 -5.931735e+03 -2.322825e+03 -16.25142055 0.57188953 -5.931735e+03 4.228816e+02 3.160915e+01 0.61621781 -0.03608028 -0.00445013 -2.322825e+03…arrow_forward
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