Introduction To Statistics And Data Analysis
6th Edition
ISBN: 9781337793612
Author: PECK, Roxy.
Publisher: Cengage Learning,
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Textbook Question
Chapter 4.1, Problem 12E
Consider the following statement: More than 65% of the residents of Los Angeles earn less than the average wage for that city. Could this statement be correct? If so, how? If not, why not?
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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 4 Solutions
Introduction To Statistics And Data Analysis
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Ch. 4.1 - Houses in California are expensive, especially on...Ch. 4.1 - Consider the following statement: More than 65% of...Ch. 4.1 - A sample consisting of four pieces of luggage was...Ch. 4.1 - Suppose that 10 patients with meningitis received...Ch. 4.1 - A study of the lifetime (in hours) for a certain...Ch. 4.1 - An instructor has graded 19 exam papers submitted...Ch. 4.2 - The following data are costs (in cents) per ounce...Ch. 4.2 - Cost per serving (in cents) for six high-fiber...Ch. 4.2 - Combining the cost-per-serving data for high-fiber...Ch. 4.2 - Prob. 20ECh. 4.2 - The accompanying data are consistent with summary...Ch. 4.2 - The paper referenced in the previous exercise also...Ch. 4.2 - The price (in dollars) of the eight smart phones...Ch. 4.2 - In addition to the prices of the highly rated...Ch. 4.2 - In an experiment to assess the effect of listening...Ch. 4.2 - The paper referenced in the previous exercise also...Ch. 4.2 - The accompanying data on number of minutes used...Ch. 4.2 - Give two sets of five numbers that have the same...Ch. 4.2 - Morningstar is an investment research from that...Ch. 4.2 - The U.S. Department of Transportation reported the...Ch. 4.2 - The Ministry of Health and Long-Term Care in...Ch. 4.2 - In 1997, a woman sued a computer keyboard...Ch. 4.2 - The standard deviation alone does not measure...Ch. 4.3 - Based on a large national sample of working...Ch. 4.3 - The report Most Licensed Drivers Age 85+: States...Ch. 4.3 - Data on the gasoline tax per gallon (in cents) in...Ch. 4.3 - The U.S. Department of Health and Human Services...Ch. 4.3 - Fiber content (in grns per serving) for 18 high...Ch. 4.3 - In addition to the fiber contents given in the...Ch. 4.3 - Use the fiber content and sugar content data given...Ch. 4.3 - The article The Bestand WorstPlaces to be a...Ch. 4.4 - The average playing time of music albums in a...Ch. 4.4 - In a study investigating the effect of car speed...Ch. 4.4 - The U.S. Census Bureau (2000 census) reported the...Ch. 4.4 - For the travel time distribution given in the...Ch. 4.4 - Use the information given in the previous two...Ch. 4.4 - Mobile homes are tightly constructed for energy...Ch. 4.4 - The article Impact of Berkeley Excise Tax on...Ch. 4.4 - A student took two national aptitude tests. The...Ch. 4.4 - Suppose that your younger sister is applying for...Ch. 4.4 - The report Who Borrows Most? Bachelors Degree...Ch. 4.4 - The paper Study of the Flying Ability of...Ch. 4.4 - Suppose that the manufacturer of a scale claims...Ch. 4.4 - Suppose that your statistics professor returned...Ch. 4.4 - The paper Answer Changing in Multiple Choice...Ch. 4.4 - Suppose that the average reading speed of students...Ch. 4.4 - The following data values are 2014 per capita...Ch. 4.4 - The accompanying table gives the mean and standard...Ch. 4.5 - The authors of the paper Delayed Time to...Ch. 4.5 - The paper Portable Social Groups: Willingness to...Ch. 4 - Acrylamide (a possible cancer-causing substance)...Ch. 4 - Prob. 62CRCh. 4 - Because some homes have selling prices that are...Ch. 4 - Although bats are not known for their eyesight,...Ch. 4 - For the data in the previous exercise, subtract 10...Ch. 4 - For the data of Exercise 4.64, multiply each data...Ch. 4 - The Bloomberg web site included the data in the...Ch. 4 - Refer to the data given in the previous exercise....Ch. 4 - Age at diagnosis for each of 20 patients under...Ch. 4 - Suppose that the distribution of scores on an exam...
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