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mathematics
statistics
Fundamentals Of Statistics 4th Edition Michael Sullivan III - Solutions
A survey of 40 randomly selected full-time Joliet Junior College students was conducted in the Fall 2010 semester. In the survey, the students were asked to disclose their weekly spending on entertainment. The results of the survey are as follows:(a)Check the data set for outliers.(b)Draw a
Use the results of Problem 21 in Section 3.1 and Problem 19 in Section 3.2 to compute the z-scores for all the students. Compute the mean and standard deviation of these z-scores.
Use the results of Problem 22 in Section 3.1 and Problem 20 in Section 3.2 to compute the z-scores for all the students. Compute the mean and standard deviation of these z-scores.
Use the fraud-detection data from Problem 25 to do the following.(a) Determine the standard deviation and interquartile range of the data.(b) Suppose the month in which the customer used 346 minutes was not actually that customer’s phone. That particular month, the customer did not use her phone
(a) Identify the shape of the distribution and(b) Determine the ï¬ve-number summary. Assume that each number in the ï¬ve-number summary is an integer.
(a) Identify the shape of the distribution and(b) Determine the ï¬ve-number summary. Assume that each number in the ï¬ve-number summary is an integer.
Use the side-by-side boxplots shown to answer the questions that follow.(a) To the nearest integer, what is the median of variable x? (b) To the nearest integer, what is the third quartile of variable y? (c) Which variable has more dispersion? Why? (d) Describe the shape of the variable x. Support
Use the side-by-side boxplots shown to answer the questions that follow.(a) To the nearest integer, what is the median of variable x? (b) To the nearest integer, what is the ï¬rst quartile of variable y? (c) Which variable has more dispersion? Why? (d) Does the variable x have any
After giving a statistics exam, Professor Dang determined the following five-number summary for her class results: 60 68 77 89 98. Use this information to deaw a boxplot of the exam scores.
Jessica enrolled in a course that promised to increase her reading speed. To help judge the effectiveness of the course, Jessica measured the number of words per minute she could read prior to enrolling in the course. She obtained the following five number summary:Use this information to draw a
The following data represent the age Of U.S. presidents on their respective inauguration days(through Barack Obama).(a) Find the five-number summary (b) Construct a boxplot. (c) Comment on the shape of the distribution.
The following data represent the percentage of workers who carpool to work for the 50 states plus Washington, D.C.(a) Find the five-number summary. (b) Construct a boxplot. (c) Comment on the shape of the distribution.
The following data represent the age of the mother at the time of her first birth for a random sample of 30 mothers.(a) Construct a boxplot of the data. (b) Use the boxplot and quartiles to describe the shape of the distribution.
The following data represent the weight (in grams) of a random sample of 25 Tylenol tablets.(a) Construct a boxplot. (b) Use the boxplot and quartiles to describe the shape of the distribution.
In Problem 27 from Section 3.1, we drew a histogram of the weights of M&Ms and found that the distribution is symmetric. Draw a boxplot of these data. Use the boxplot and quartiles to confirm the distribution is symmetric. For convenience, the data are displayed again.
In Problem 28 from Section 3.1, we drew a histogram of the length of eruption of California's Old Faithful geyser and found that the distribution is symmetric. Draw a boxplot of these data. Use the boxplot and quartiles to confirm the distribution is symmetric. For convenience, the data are
A student wanted to know whether Centrum vitamins dissolve faster than the corresponding generic brand. The student used vinegar as a proxy for stomach acid and measured the time (in minutes) it took for a vitamin to completely dissolve. The results are shown next.(a) Draw side-by-side boxplots for
Do store-brand chocolate chip cookies have fewer chips per cookie than Keebler's Chips Deluxe Chocolate Chip Cookies? To find out, a student randomly selected 21 cookies of each brand and counted the number of chips in the cookies. The results are shown next.(a) Draw side-by-side boxplots for each
It is well-documented that active maternal smoking during pregnancy is associated with lower-birth-weight babies. Researchers Fernando D. Martinez and associates wanted to determine if there is a relationship between paternal smoking habits and birth weight. The researchers administered a
Explain how to determine the shape of a distribution using the boxplot and quartiles.
The following data represent the muzzle velocity (in meters per second) of rounds fired from a 155-mm gun.(a) Compute the sample mean and median muzzle velocity.(b) Compute the range, sample variance, and sample standard deviation.
The following data represent the sales price in dollars for nine 2-year-old Chevrolet Cobalts in the Los Angeles area.(a) Determine the sample mean and median price.(b) Determine the range, sample standard deviation, and interquartile range.(c) Redo (a) and (b) if the data value 14,050 was
The following data represent the ages of chief justices of the U.S. Supreme Court when they were appointed.Justice .......AgeJohn Jay .......44John Rutledge.....56Oliver Ellsworth ....51John Marshall.....46Roger B. Taney ....59Salmon P. Chase ....56Morrison R. Waite ...58Melville W. Fuller
As part of a statistics project, a student surveys 30 randomly selected students and asks them how many speeding tickets they have been issued in the past month. The results of the survey are as follows:(a) Draw a frequency histogram of the data and describe its shape.(b) Based on the shape of the
Suppose that a certain brand of light bulb has a mean life of 600 hours and a standard deviation of 53 hours. (a) A histogram of the data indicates the sample data follow a bell-shaped distribution. According to the Empirical Rule, 99.7% of light bulbs have lifetimes between_________ and
The frequency distribution listed in the table represents the travel time to work (in minutes) for a random sample of 895 U.S. adults.Travel Time (minutes) ...Frequency0-9 ...........12510-19 ...........27120-29 ...........18630-39 ..........12140-49 .......... 5450-59 .......... 6260-69
Michael has just completed his first semester in college. He earned an A in his 5-hour calculus course, a B in his 4-hour chemistry course, an A in his 3-hour speech course, and a C in his 3-hour psychology course. Assuming an A equals 4 points, a B equals 3 points, and a C equals 2 points,
According to the National Center for Health Statistics, the mean weight of a 20- to 29-year-old female is 156.5 pounds, with a standard deviation of 51.2 pounds. The mean weight of a 20- to 29-year-old male is 183.4 pounds, with a standard deviation of 40.0 pounds. Who is relatively heavier: a 20-
On October 6, 2010, Roy Halladay of the Philadelphia Phillies threw the second post-season no-hitter in major league history. The side-by-side boxplot on the next page shows the pitch speed (in miles per hour) for all of Halladays pitches during the game.(a) Which pitch is typically
Ever wonder how many words are in a typical inaugural address? The following data represent the lengths of all the inaugural addresses (measured in word count) for all presidents up to Barack Obama.(a) Determine the mean and median number of words in a presidential inaugural address. (b) Determine
One method of estimating body fat is through skinfold thickness measurement. The measurement can use from three to nine different standard anatomical sites around the body. The right side is usually only measured (for consistency). The tester pinches the skin at the appropriate site to raise a
The following data represent the amount of time (in minutes) a random sample of eight students enrolled in Sullivans Intermediate Algebra course spent on the homework from Section 4.5, Factoring Polynomials.(a) Determine the mean amount of time spent doing Section 4.5 homework. (b)
(a) Determine the standard deviation of the homework data from Problem 1.(b) By hand, determine and interpret the interquartile range of the homework data from Problem 1.(c) Which of these two measures of dispersion is resistant? Why?
In a random sample of 250 toner cartridges, the mean number of pages a toner cartridge can print is 4302 and the standard deviation is 340. (a) Suppose a histogram of the data indicates that the sample data follow a bell-shaped distribution. According to the Empirical Rule, 99.7% of toner
The following data represent the length of time (in minutes) between eruptions of Old Faithful in Yellowstone National Park. Time (minutes) .... Frequency 40-49 ........ 8 50-59 ........ 44 60-69 ......... 23 70-79 .......... 6 80-89 ......... 107 90-99 ......... 11 100-109 ........
Yolanda wishes to develop a new type of meatloaf to sell at her restaurant. She decides to combine 2 pounds of ground sirloin (cost $2.70 per pound), 1 pound of ground turkey (cost $1.30 per pound), and 1/2 pound of ground pork (cost $1.80 per pound). What is the cost per pound of the meatloaf?
An engineer is studying bearing failures for two different materials in aircraft gas turbine engines. The following data are failure times (in millions of cycles) for samples of the two material types.(a) Determine the sample mean failure time for each material.(b) By hand, compute the median
The following data represent the weights (in grams) of 50 randomly selected quarters. Determine and interpret the quartiles. Does the data set contain any outliers?
Armando is filling out a college application. The application requires that Armando supply either his SAT math score or his ACT math score. Armando scored 610 on the SAT math and 27 on the ACT math. Which score should Armando report, given that the mean SAT math score is 515 with a standard
The U.S. Department of Housing and Urban Development (HUD) uses the median to report the average price of a home in the United States. Why do you think HUD us. the median?
If a data set contains 10,000 values arranged in increasing order, where is the median located?
Find the population mean or sample mean as indicated.Sample: 20,13, 4,8,10
Find the population mean or sample mean as indicated. Sample: 83, 65, 91,87, 84
Find the population mean or sample mean as indicated.Population:3, 6,10,12, 14
Find the population mean or sample mean as indicated.Population: 1, 19,25, 15,12, 16, 28,13, 6
For Super Bowl XLIV, CBS television sold 55 ad slots for a total revenue of roughly $165.5 million. What was the mean price. per ad slot? Find the population mean or sample mean as indicated.
The median for the given set of six ordered data values is 26.5. What is the missing value? 7 12 21_________ 41 50
The Insurance Institute for Highway Safety crashed the 2010 Ford Fusion four tim. at 5 miles per hour. The costs of repair for each of the four crashes wereCompute the mean, median, and mode cost of repair.
Use The following data represent the monthly cell phone bill for my wife's phone for six randomly selected months.Compute the mean, median, and mode phone bill.
A certain type of concrete mix is designed to withstand 3000 pounds per square inch (psi) of pressure. The strength of concrete is measured by pouring the mix into casting cylinders 6 inches in diameter and 12 inch. tall. The concrete is allowed to set for 28 days. The concrete's strength is then
The following data represent the flight time (in minutes) of a random sample of seven flights from Las Vegas, Nevada, to Newark, New Jersey, on Continental Airlines.Compute the mean, median, and mode flight time.
For each of the three histograms shown, determine whether the mean is greater than, less than, or approximately equal to the median. Justify your answer.Find the population mean or sample mean as indicated.
Match the histrograms shown to the summary statistics.Find the population mean or sample mean as indicated.
In an experiment conducted online at University of Mississippi, study participants are asked to react to a stimulus. In one experiment, the participant must press a key upon seeing a blue screen. The time (in seconds) to press the key is measured. The same person is then asked to press a key upon
The data on the following page represent the pulse rates (beats per minute) of nine students enrolled in a section of Sullivan’s Introductory Statistics course. Treat the nine students as a population. Student ........ Pulse Perpectual Bempah .... 76 Megan Brooks ...... 60 Jeff Honeycutt
The following data represent the travel time (in minutes) to school for nine students enrolled in Sullivans College Algebra course. Treat the nine students as a population.Determine the population mean for travel time.
The given data represent the fossil-fuel carbon dioxide (CO2) emissions (in thousands of metic tons) of the top 10 emitters in 2007.(a) Determine the mean CO2 emissions of the top 10 countries. (b) Explain why the total emissions of a country is likely not the best gauge of CO2 emissions; instead,
Lance Armstrong won the Tour de France seven consecutive years (1999-2005). The following table gives the winning times, distances, speeds, and margin of victory.(a) Determine the mean and median of his winning times for the seven races. (b) Determine the mean and median of the distances for the
The following data represent the weights (in grams) of a simple random sample of 50 M&M plain candies.Determine the shape of the distribution of weights of M&Ms by drawing a frequency histogram. Fmd the mean and median. Which measure of central tendency better describes the weight of a plain M&M?
We have all heard of the Old Faithful geyser in Yellowstone National Park. However, there is another, less famous, Old Faithful geyser in Calistoga, California. The following data represent the length of eruption (in seconds) for a random sample of eruptions of the California Old Faithful.Determine
A random sample of 25 college students was asked, “How many hours per week typically do you work outside the home?†Their responses were as follows:Determine the shape of the distribution of hours worked by drawing a frequency histogram. Find the mean and median. Which measure of
The following data represent the profit (in dollars) of a new-car dealer for a random sample of 40 sales.Determine the shape of the distribution of new-car proï¬t by drawing a frequency histogram. Find the mean and median. Which measure of central tendency better describes the proï¬t?
A sample of 30 registered voters was surveyed in which the respondents were asked, Do you consider your political views to be conservative, moderate, or liberal? The results of the survey are shown in the table.(a) Determine the mode political view. (b) Do you think it would
The following data represent the Diagnosis of a random sample of 20 patients admitted to a hospital. Determine the mode diagnosis.
Each of the following three data sets represents the IQ scores of a random sample of adults. IQ scores are known to have a mean and median of 100. For each data set, determine the mean and median. For each data set recalculate the mean and median, assuming that the individual whose IQ is 106 is
Mr. Zuro finds the mean height of all 14 students in his statistics class to be 68.0 inches. Just as Mr. Zuro finishes explaining how to get the mean, Danielle walks in late. Danielle is 65 inches tall. What is the mean height of the 15 students in the class?
A professor has recorded exam grades For 20 students in his class, but one of the grades is no longer readable. If the mean score on the exam was 82 and the mean of the 19 readable scores is 84, what is the value of the unreadable score?
Unfortunately, a friend of yours has been diagnosed with cancer. You obtain a histogram of the survival time (in months) of patients diagnosed with this form of cancer as shown in the ï¬gure. The median survival time for individuals with this form of cancer is 11 months, while the
Benjamin owns a small Internet business. Besides himself, he employs nine other people. The salaries earned by the employees are given next in thousands of dollars (Benjamin's salary is the largest, of course):(a) Determine the mean, median, and mode for salary. (b) Business has been good! As a
Use the five test scores of 65, 70, 71, 75, and 95 to answer the following questions: (a) Find the sample mean. (b) Find the median. (c) Which measure of central tendency best describes the typical test score? (d) Suppose the professor decides to curve the exam by adding 4 points to each test
Another measure of central tendency is the trimmed mean. It is computed by determining the mean of a data set after deleting the smallest and largest observed values. Compute the trimmed mean for the data in Problem 27. Is the trimmed mean resistant? Explain.
The midrange is also a measure of central tendency. It is computed by adding the smallest and largest observed values of a data set and dividing the result by 2; that isCompute the midrange for the data in Problem 27. Is the midrange resistant? Explain.
As part of a semester project in a statistics course, Carlos surveyed a sample of 50 high school students and asked, "How many days in the past week have you consumed an alcoholic beverage?" The results of the survey are shown next.(a) Is this data discrete or continuous?(b) Draw a histogram of the
Why is the median resistant, but the mean is not?
According to the Statistical Abstract of the United States, the mean net worth of all households in the United States in 2007 was $556,300, while the median net worth was $120,300. (a) Which measure do you believe better describes the typical U.S. household's net worth? Support your opinion. (b)
For each of the following situations, determine which measure of central tendency is most appropriate and justify your reasoning. (a) Average price of a home sold in Pittsburgh, Pennsylvania, in 2011 (b) Most popular major for students enrolled in a statistics course (c) Average test score when the
Sample: 20, 13, 4, 8,10Find the population variance and standard deviation or the sample variance and standard deviation as indicated.
Sample: 83, 65, 91, 87, 84Find the population variance and standard deviation or the sample variance and standard deviation as indicated.
Population: 3, 6, 10, 12, 14Find the population variance and standard deviation or the sample variance and standard deviation as indicated.
Population: 1, 19,25, 15, 12, 16, 28, 13, 6Find the population variance and standard deviation or the sample variance and standard deviation as indicated.
Sample: 6, 52, 13,49, 35, 25, 31, 29, 31, 29Find the population variance and standard deviation or the sample variance and standard deviation as indicated.
Population: 4, 10, 12, 12, 13, 21Find the population variance and standard deviation or the sample variance and standard deviation as indicated.
The Insurance Institute for Highway Safety crashed the 2010 Ford Fusion four times at 5 miles per hour. The cost of repair for each of the four crashes are as follows:Compute the range, sample variance, and sample standard deviation cost of repair.
The following data represent the monthly cell phone bill for my wife's phone for six randomly selected months:Compute the range, sample variance, and sample standard deviation phone bill.
A certain type of concrete mix is designed to withstand 3000 pounds per square inch (psi) of pressure. The strength of concrete is measured by pouring the mix into casting cylinders 6 inches in diameter and 12 inches tall. The concrete is allowed to set up for 28 days. The concrete's strength is
The following data represent the flight time (in minutes) of a random sample of seven flights from Las Vegas, Nevada, to Newark, New Jersey, on Continental Airlines.Compute the range and sample standard deviation of flight time.
Match the histograms on the following page to the summary statistics given.
In an experiment conducted online at the University of Mississippi, study participants are asked to react a stimulus. In one experiment, the participant must press a key upon seeing a blue screen. The time (in seconds) to press the key is measured. The same person is then asked to press a key upon
The following data represent the pulse rates (beats per minute) of nine students enrolled in a section of Sullivan’s course in Introductory Statistics. Treat the nine students as a population.Student .........PulsePerpectual Bempah ....76Megan Brooks....60Jeff Honeycutt .....60Clarice Jefferson
The following data represent the travel time (in minutes) to school for nine students enrolled in Sulivan’s College Algebra course. Treat the nine students as a population.(a) Determine the population standard deviation.(b) Find three simple random samples of size 4, and determine the sample
Ethan and Drew went on a 10-day fishing trip. The number of smallmouth bass caught and released by the two boys each day was as follows:(a) Find the population mean and the range for the number of smallmouth bass caught per day by each ï¬sherman. Do these values indicate any differences between
The data on the next page represent the number of pods on a sample of soybean plants for two different plot types. Which plot type do you think is superior? Why?
The following data represent the weights (in grams) of a random sample of 50 M&M plain candies.(a) Determine the sample standard deviation weight. Express your answer rounded to three decimal places. (b) On the basis of the histogram drawn in Section 3.1, Problem 27, comment on the appropriateness
The following data represent the length of eruption for a random sample of eruptions at the Old Faithfulgeyser in Calistoga, California.(a) Determine the sample standard deviation length of eruption. Express your answer rounded to the nearest whole number. (b) On the basis of the histogram drawn in
Suppose that you are in the market to purchase a car. With gas prices on the rise, you have narrowed it down to two choices and will let gas mileage be the deciding factor. You decide to conduct a little experiment in which you put 10 gallons of gas in the car and drive it on a closed track until
You have received a year- end bonus of $5000. You decide to invest the money in the stock market and have narrowed your investment options down to two mutual funds. The following data represent the historical quarterly rates of return of each mutual fund for the past 20 quarters (5 years).
Stocks may be categorized by industry. The data on the following page represent the 5-year rates of return (in percent) for a sample of consumer goods stocks and energy stocks ending November 10, 2010.(a) Determine the mean and the median rate of return for each industry. Which sector has the
It is well known that San Diego has milder weather than Chicago, but which city has more deviation from normal temperatures over the course of a month? Use the following data, which represent the deviation from normal high temperatures for each day in October 2010. In which city would you rather be
One measure of intelligence is the Stanford- Binet Intelligence Quotient (IQ). IQ scores have a bell-shaped distribution with a mean of 100 and a standard deviation of 15. (a) What percentage of people has an IQ score between 70 and 130? (b) What percentage of people has an IQ score less than 70 or
SAT Math scores have a bell-shaped distribution with a mean of 515 and a standard deviation of 114. (a) What percentage of SAT scores is between 401 and 629? (b) What percentage of SAT scores is less than 401 or greater than 629? (c) What percentage of SAT scores is greater than 743?
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