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fundamentals of statistics

Questions and Answers of Fundamentals Of Statistics

In Problems find the value of each combination.8C3
In Problems find the value of each combination.9C2
In Problems find the value of each combination.10C2
In Problems find the value of each combination.12C3
In Problems find the value of each combination.52C1
In Problems find the value of each combination.40C40
In Problems find the value of each combination.48C3
The Chicago Tribune analyzed 17,713 complaints by citizens against Chicago police officers.(a) Of the 17,713 complaints against police officers, it was found that 7296 were accompanied by a signed
In Problems find the value of each combination.30C4
In Problem 29, we learned that for some diseases, such as sickle-cell anemia, an individual will get the disease only if he or she receives both recessive alleles. This is not always the case. For
(a) Patti and John each played 100 games of Solitaire on their smartphone. Patti won 7 of her games and estimated the probability of winning Solitaire as 0.07. John won 6 of his games and estimated
Ronald Fisher is considered the father of experimental design. Being of English descent, he was having afternoon tea with a colleague. The colleague’s wife entered the room as Fisher was pouring
Use the results from Problem 31 in Section 4.1 and Problem 21 in Section 4.2.Data from in problem 21(a) What proportion of the variability in distance is explained by the relation between speed at
Use the results from Problem 32 in Section 4.1 and Problem 22 in Section 4.2.Data from in problem 22.The following data represent the maximum wind speed (in knots) and atmospheric pressure (in
The data set“Tornadoes_2017” located at www.pearsonhighered.com/ sullivanstats contains a variety of variables that were measured for all tornadoes in the United States in 2017.(a)
Total deviation = _____ deviation + _____ deviation.
The following data represent the age of the mother at childbirth for 1980 and 2017.(a) Approximate the population mean and standard deviation of age for mothers in 1980.(b) Approximate the population
Use the data in Problem 21. What percentage of players had a sprint speed between 24 and 25.9 ft/sec? What percentage of players had a sprint speed less than 24 ft/sec?Data from in problem 21The
Use the data in Problem 22. What percentage of earthquakes registered 4.0 to 4.9? What percentage of earthquakes registered less than 5.0?The following data represent the magnitude of earthquakes
A college education is certainly a factor in determining one’s income. Researchers at payscale.com wanted to determine if there was an association between mid-career income and household income
Which of the following is true of the least-squares regression line ŷ = b1x + b0?(a) The predicted value of y, ŷ, is an estimate of the mean value of the response variable for a particular value
True and False. Correlation implies causation.
The following data represent the sentences imposed on offenders convicted of murder by race.(a) Which race appears to get a death sentence more frequently? Why? The data in the table above do not
The following data represent the total compensation for 12 randomly selected chief executive officers (CEO) and the company’s stock performance in 2017.(a) One would think that a higher stock
What is a residual? What does it mean when a residual is positive?
The following data represent the speed at which a ball was hit (in miles per hour) and the distance it traveled (in feet) for a random sample of home runs in a Major League baseball game.(a) A
Put the following correlation coefficients in order from weakest to strongest in terms of strength of linear association.-1, 0.377, 0.084, -0.436, 0.444, -0.733
Put the following correlation coefficients in order from weakest to strongest in terms of strength of linear association.-0.903, 0.339, -0.431, 0.137, 0.869
State the properties of the linear correlation coefficient.
The purpose of this Decisions Project is to decide on two quantitative variables, see how the relationship between these variables has changed over time, and determine the most current relationship
Use the frequency distribution whose class width is 4 obtained in Problem 29 in Section 2.2 to approximate the mean and standard deviation exit velocity. Compare these results to the actual mean and
The data set “Tornadoes_2017” located at www.pearsonhighered.com/sullivanstats contains a variety of variables that were measured for all tornadoes in the United States in 2017. F scale is
In studies of monozygotic (identical) twins, the correlation of intelligence (IQ) scores is 0.85.(a) What or who are the individuals in this scenario?(b) What are the variables?(c) What proportion of
The following data represent the speed at which a ball was hit (in miles per hour) and the distance it traveled (in feet) for a random sample of home runs in a Major League baseball game.(a) Find the
Mark Twain, in his book Life on the Mississippi (1884), makes the following observation: Therefore, the Mississippi between Cairo and New Orleans was twelve hundred and fifteen miles long one hundred
Go to www.pearsonhighered.com/ sullivanstats to obtain the data file 4_1_49 using the file format of your choice for the version of the text you are using. The data represent the cost, return on
The website that contained the American black bear data listed in Problem 30 actually had a bear whose length is 141.0 cm and weight is 100 kg, but incorrectly listed its length as 41.0 cm.(a) Redraw
The following data represent the total federal debt (in trillions of dollars) of the United States from 2000 to 2018.(a) Construct a time-series plot of the data.(b) Percentage change may be found
The following data represent the number of days between grocery orders at the online delivery company Instacart. Determine the shape of the distribution of days between orders by drawing a frequency
In Problems find the population mean or sample mean as indicated.Sample: 20, 13, 4, 8, 10
What is the ideal number of children to have? This question was asked on the Sullivan Statistics Survey I. Draw a dot plot of the variable “Children” from theSullivanStatsSurveyI data set at
Draw a dot plot of the televisions per household data from Problem 25.A researcher with A. C. Nielsen wanted to determine the number of televisions in households. He conducts a survey of 40 randomly
The following data represent the number of hurricanes in the Atlantic Ocean for the years 2000 to 2017.(a) Construct a time-series plot of the data.(b) See Problem 37(b). What was percentage change
Draw a dot plot of the waiting data from Problem 26.The data below represents the number of customers waiting for a table at 6:00 p.m. for 40 consecutive Saturdays at Bobak’s Restaurant.The data
The graphic below and the graphic on the following page represent the number of reported shark attacks and fatality rate worldwide since 1900. Write a report about the trends in the graphs. In your
Open the data set 2_2_39, which represents the number of births per woman between the ages of 15 and 44 for the years 1960 to 2016 in the United States. Construct a time-series plot and comment on
Suppose you are in the market to purchase a used car. To make an informed decision regarding your purchase, you would like to collect as much information as possible. Among the information you might
The Federal Reserve Bank of St. Louis reported two average personal incomes for 2018: $33,706 and $50,731. One of these averages is the mean and the other is the median. Which is the mean? Support
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 uses the median?
The following frequency distribution represents the birth weight of all babies born in the United States in 2017.(a) Approximate the mean and standard deviation birth weight.(b) Draw a frequency
The________ ________is the range of the middle 50% of the observations in a data set.
In Problems by hand, find the population variance and standard deviation or the sample variance and standard deviation as indicated.Sample: 20, 13, 4, 8, 10
Use the frequency distribution whose class width is 0.5 obtained in Problem 30 in Section 2.2 to approximate the mean and standard deviation for cigarette tax rates. Compare these results to the
In 2018, Jacob deGrom of the New York Mets had the lowest earned-run average (ERA is the mean number of runs yielded per nine innings pitched) of any starting pitcher in the National League, with an
In Problems find the population mean or sample mean as indicated.Population: 1, 19, 25, 15, 12, 16, 28, 13, 6
For Super Bowl LIII, there were 62,612 tickets sold for a total value of $108,005,700. What was the mean price per ticket?
Violent crimes include rape, robbery, assault, and homicide. The following is a summary of the violent-crime rate (violent crimes per 100,000 population) for all 50 states in the United States plus
For each of the following data sets, decide which has the higher standard deviation (set 1 or set 2), if any, without doing any computation. Explain the rationale behind your choice. Then, verify
In April 2014, the city of Flint, Michigan stopped buying water that came from Lake Huron and started using water from the Flint River to save money. After the move, residents of Flint started
Open the data 3_5_19 at www.pearsonhighered.com/sullivanstats. This data represents the amount of time of a cab ride (in seconds), the fare collected, and the payment method for a random sample of
(a) Suppose in a certain set of data, there are two observations of 90 and 100. Is 90 far away from 100 if the standard deviation of the data is 10?(b) Suppose in a certain set of data, there are two
The following data represent the wait time (in minutes) for a random sample of 40 visitors to Disney’s Dinosaur Ride in Animal Kingdom.(a) Determine and interpret the quartiles.(b) Check the data
The data set “Tornadoes_2017” located at www.pearsonhighered.com/sullivanstats contains a variety of variables that were measured for all tornadoes in the United States in 2017.(a) Draw
The following data represent the number of days between grocery orders at the online delivery company Instacart.(a) Determine and interpret the quartiles.(b) Check the data set for outliers.
The following data represent the wait time (in minutes) for a random sample of 40 visitors to Disney’s Dinosaur Ride in Animal Kingdom. Determine the shape of the distribution of wait time by
A survey of 50 randomly selected full-time Joliet Junior College students was conducted during the Fall 2019 semester. In the survey, the students were asked to disclose their weekly income from
A survey of 40 randomly selected full-time Joliet Junior College students was conducted in the Fall 2019 semester. In the survey, the students were asked to disclose their weekly spending on
The data set “Tornadoes_2017” located at www.pearsonhighered.com/sullivanstats contains a variety of variables that were measured for all tornadoes in the United States in 2017.(a) Determine and
It is well known that San Diego has milder weather than Chicago, but which city has more deviation from normal temperatures? Use the following data, which represent the deviation from normal high
In December 2018, the average price of regular unleaded gasoline excluding taxes in the United States was $3.06 per gallon, according to the Energy Information Administration. Assume that the
Karl Pearson developed a measure that describes the skewness of a distribution, called the coefficient of skewness. The formula isThe value of this measure generally lies between -3 and +3. The
According to MarketWatch, the mean net worth of all individuals in the United States in 2016 was $692,100, while the median net worth was $97,300.(a) Which measure do you believe better describes the
The data set “Tornadoes_2017” located at www.pearsonhighered.com/sullivanstats contains a variety of variables that were measured for all tornadoes in the United States in 2017.(a) Determine the
The data set on the left represents the annual rate of return (in percent) of eight randomly sampled bond mutual funds, and the data set on the right represents the annual rate of return (in percent)
The following data represent healthcare expenditures per capita (per person) and as a percentage of the U.S. gross domestic product (GDP) from 2007 to 2016. Gross domestic product is the total value
The Gini Index is a measure of how evenly income is distributed within a country, ranging from 0 to 100. An index of 0 suggests income is distributed with perfect equality. The higher the
Open the data set 2_2_40, which represents the life expectancy of individuals born in the given year for the years 1960 to 2016 in the United States. Construct a time-series plot and comment on any
The data set“Tornadoes_2017” located at www.pearsonhighered.com/ sullivanstats contains a variety of variables that were measured for all tornadoes in the United States in 2017.(a) Draw a
Chicago has installed cameras at various intersections throughout the city. The camera photographs the license plate of any car engaging in a moving violation (such as driving through a red light or
Nielsen/ NetRatings measures the amount of time an individual spends viewing a specific web page. The following data represent the amount of time, in seconds, a random sample of 40 surfers spent
What type of variable is required when drawing a time-seriesplot? Why do we draw time-series plots?
Harris Interactive conducted a poll of U.S. adults and asked, “When there is a voiceover in a commercial, which type of voice is more likely to sell me a car?” Results of the survey are in the
The following frequency distribution represents the sprint speed (in feet per second) of all players in Major League Baseball during the 2018 baseball season.In Problems find (a) The number of
The following data represent the magnitude of earthquakes worldwide in October 2018.In Problems find (a) The number of classes(b) The class limits(c) The class width.
The side-by-side bar graph to the right shows the average grade point average for the academic years beginning in 1983, 1988, 1993, 1998, 2003, 2008, and 2013, for colleges and universities.(a) Does
True or False: Suppose the first class of a frequency distribution is 0–9.9 and the second class is 10–19.9. Then, the class width is 9.9.
The table shows the homeownership rate in each of the 50 states and Washington, DC, in 2017.The state with the highest homeownership rate is West Virginia and the lowest is Washington, DC. With a
The data in the next column shows birth rate and per capita income (in thousands of 2012 dollars) from 2005 through 2017. Draw a time-series plot for both birth rate and per capita income. Comment on
The following time-series plot shows the annual unemployment and inflation rates for the years 2001 through 2017(a) Estimate the unemployment rate in 2012.(b) In what year was the unemployment rate
The following data represent the exit velocity (in miles per hour) for a simple random sample of 50 home runs hit during the 2018 Major League Baseball season.With a first class having a lower class
The following data represent the default rate on student loans for a random sample of 40 colleges or universities in the United States.(a) If seven classes are to be formed, choose an appropriate
The following data represent the percentage of total adjusted gross income (AGI) earned and percentage of tax paid by various income classes. The top 1% represents the percentage of total AGI earned
In 2017, the average earnings of a high school graduate were $30,624. At $52,484, the average earnings of a recipient of a bachelor’s degree were about 71% higher.(a) Construct a misleading graph
A student conducted a survey asking a random sample of adults, “How many days per week do you exercise?”. The results of the survey are displayed in the dot plot drawn in StatCrunch shown
The following dot plot drawn in Minitab shows the number of people living in a household for a random sample of households in the United States.(a) If you randomly selected a household, what is the
The ___________ ___________is the difference between consecutive lower-class limits.
Suppose the president of the United States wants to hold a forum with the governors of ten states. Use the frame shown to answer parts (a) and (b).(a) Obtain a simple random sample of size 10 using
Researchers wanted to test the effectiveness of a new cognitive behavioral therapy (CBT) compared with both an older behavioral treatment and a placebo therapy for treating insomnia. They identified
In the 2019 NCAA Football Championship Game, quarterback Trevor Lawrence completed 62.5% of his passes for a total of 347 yards.
Does a platelet-rich plasma (PRP) injection into the scalp promote hair growth? Researchers identified 30 female patients with female pattern hair loss. The patients ranged in age from 20 to 45

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