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mathematics
mathematical applications for the management

Questions and Answers of Mathematical Applications for the Management

Based on Data Set 4 “Births” in Appendix B, birth weights are normally distributed with a mean of 3152.0 g and a standard deviation of 693.4 g.a. What are the values of the mean and standard
In a continuous uniform distribution,a. Find the mean and standard deviation for the distribution of the waiting times represented in Figure 6-2, which accompanies Exercises 5–8.b. For a continuous
For bone density scores that are normally distributed with a mean of 0 and a standard deviation of 1, find the percentage of scores that area. significantly high (or at least 2 standard deviations
About % of the area is between z = -3.5 and z = 3.5 (or within 3.5 standard deviations of the mean).Find the indicated area under the curve of the standard normal distribution; then convert it to a
About % of the area is between z = -3 and z = 3 (or within 3 standard deviations of the mean).Find the indicated area under the curve of the standard normal distribution; then convert it to a
About % of the area is between z = -2 and z = 2 (or within 2 standard deviations of the mean).Find the indicated area under the curve of the standard normal distribution; then convert it to a
Find the indicated area under the curve of the standard normal distribution; then convert it to a percentage and fill in the blank. The results form the basis for the range rule of thumb and the
Find the bone density scores that can be used as cutoff values separating the lowest 3% and highest 3%.Assume that a randomly selected subject is given a bone density test. Bone density test scores
Find P10, the 10th percentile. This is the bone density score separating the bottom 10% from the top 90%.Assume that a randomly selected subject is given a bone density test. Bone density test scores
Find P99, the 99th percentile. This is the bone density score separating the bottom 99% from the top 1%.Assume that a randomly selected subject is given a bone density test. Bone density test scores
Find the area of the shaded region. The graph depicts the standard normal distribution of bone density scores with mean 0 and standard deviation 1.
Find the area of the shaded region. The graph depicts the standard normal distribution of bone density scores with mean 0 and standard deviation 1.
The photos shown below depict famous statisticians with first names of David and John, not necessarily in the order shown. Conduct a survey by asking this question: “Which man is named David and
The analysis of the last digits of data can sometimes reveal whether the data have been collected through actual measurements or reported by the subjects. Refer to an almanac or the Internet and find
Win $1,000,000! The James Randi Educational Foundation offers a $1,000,000 prize to anyone who can show "under proper observing conditions, evidence of any paranormal, supernatural, or occult power
Groups of people aged 15–65 are randomly selected and arranged in groups of six. The random variable x is the number in the group who say that their family and>or partner contribute most to their
During a recent 64-year period, New Mexico had a total of 153 tornadoes that measured 1 or greater on the Fujita scale. Let the random variable x represent the number of such tornadoes to hit New
In analyzing hits by V-1 buzz bombs in World War II, South London was partitioned into 576 regions, each with an area of 0.25 km2. A total of 535 bombs hit the combined area of 576 regions. Assume
Find the probability that the number x of correct answers is no more than 2.Assume that random guesses are made for eight multiple choice questions on an SAT test, so that there are n = 8 trials,
Find the probability that the number x of correct answers is no more than 2.Assume that random guesses are made for eight multiple choice questions on an SAT test, so that there are n = 8 trials,
When playing roulette at the Venetian casino in Las Vegas, a gambler is trying to decide whether to bet $5 on the number 27 or to bet $5 that the outcome is any one of these five possibilities: 0,
In a Microsoft Instant Messaging survey, respondents were asked to choose the most fun way to flirt, and the accompanying table is based on the results.
Ted is not particularly creative. He uses the pickup line “If I could rearrange the alphabet, I’d put U and I together.” The random variable x is the number of women Ted approaches before
Is the random variable given in the accompanying table discrete or continuous? Explain.
In Cumulative Review Exercise 4, it was noted that eye colors in the United States are distributed as follows: 40% brown, 35% blue, 12% green, 7% gray, 6% hazel. That distribution can form the basis
The Monty Hall problem is based on the old television game show Let’s Make a Deal, hosted by Monty Hall. Suppose you are a contestant who has selected one of three doors after being told that two
The manufacturing process for a new computer integrated circuit has a yield of 1/6, meaning that 1/6 of the circuits are good and the other 5/6 are defective. Use a die to simulate this manufacturing
Divide into groups of three or four. First, use subjective estimates for the probability of randomly selecting a car and getting each of these car colors: black, white, blue, red, silver, other. Then
Marine biologists often use the capture-recapture method as a way to estimate the size of a population, such as the number of fish in a lake. This method involves capturing a sample from the
Divide into groups of three or four and use actual thumbtacks or Hershey’s Kisses candies or paper cups to estimate the probability that when dropped, they will land with the point (or open side)
It is estimated that roughly half of smokers lie when asked about their smoking involvement. Pulse CO-oximeters may be a way to get information about smoking without relying on patients' statements.
It is estimated that roughly half of smokers lie when asked about their smoking involvement. Pulse CO-oximeters may be a way to get information about smoking without relying on patients' statements.
Divide into groups of three or four and create a new carnival game. Determine the probability of winning. Determine how much money the operator of the game can expect to gain each time the game is
Calculating probabilities are sometimes painfully difficult, but simulations provide us with a very practical alternative to calculations based on formal rules. A simulation of a procedure is a
Based on a study by Dr. P. Sorita Soni at Indiana University, assume that eye colors in the United States are distributed as follows: 40% brown, 35% blue, 12% green, 7% gray, 6% hazel.a. A statistics
USA Today provided information about a survey (conducted for Donate Life America) of 5100 adult Internet users. Of the respondents, 2346 said they are willing to donate organs after death. In this
If one of the drivers is randomly selected, find the probability of getting someone who did not use a seatbelt or was not killed.Use the data in the accompanying table and express all results in
If one of the drivers is randomly selected, find the probability of getting a driver who used a seatbelt or was killed.Use the data in the accompanying table and express all results in decimal form.
Mendel conducted some his famous experiments with peas that were either smooth yellow plants or wrinkly green plants. If four peas are randomly selected from a batch consisting of four smooth yellow
The Fairfield County Department of Public Health tests water for the presence of E. coli ( Escherichia coli) bacteria. To reduce laboratory costs, water samples from 10 public swimming areas are
Based on the data in Table 4-1 on page 162, assume that the probability of a randomly selected person testing positive for drug use is 0.126. If drug screening samples are collected from 5 random
Large stadiums rely on backup generators to provide electricity in the event of a power failure. Assume that emergency backup generators fail 22% of the times when they are needed (based on data from
Find the probability of selecting a subject with a negative test result, given that the subject has hepatitis C. What would be an unfavorable consequence of this error?Refer to the accompanying table
Find the probability of selecting a subject with a positive test result, given that the subject does not have hepatitis C. Why is this case problematic for test subjects?Refer to the accompanying
If you make random guesses for 10 multiple choice SAT test questions (each with five possible answers), what is the probability of getting at least 1 correct? If these questions are part of a
In China, where many couples were allowed to have only one child, the probability of a baby being a boy was 0.545. Among six randomly selected births in China, what is the probability that at least
The exclusive or means either one or the other events occurs, but not both.a. For the formal addition rule, rewrite the formula for P(A or B) assuming that the addition rule uses the exclusive or
It is generally recognized that it is wise to backup computer data. Assume that there is a 3% rate of disk drive failure in a year (based on data from various sources, including lifehacker.com).a. If
If one of the test subjects is randomly selected, find the probability that the subject tested negative or used marijuana.Use these results from the “1-Panel-THC” test for marijuana use, which is
If one of the test subjects is randomly selected, find the probability that the subject tested positive or did not use marijuana.Use these results from the “1-Panel-THC” test for marijuana use,
Use this sample space listing the eight simple events that are possible when a couple has three children (as in Example 2 on page 135): {bbb, bbg, bgb, bgg, gbb, gbg, ggb, ggg}. Assume that boys and
MicroSort’s XSORT gender selection technique was designed to increase the likelihood that a baby will be a girl. At one point before clinical trials of the XSORT gender selection technique were
Find the probability of selecting someone who got a result that is a false negative. Who would suffer from a false negative result? Why?
Appendix B includes many real and interesting data sets. In each group of three or four students, select a data set from Appendix B and analyze it using the methods discussed so far in this book.
Data Set 28 “Chocolate Chip Cookies” in Appendix B includes counts of chocolate chips in five different brands of cookies. Obtain your own sample of chocolate chip cookies and proceed to count
Data Set 28 “Chocolate Chip Cookies” in Appendix B includes counts of chocolate chips in five different brands of cookies. Obtain your own sample of chocolate chip cookies and proceed to count
Several websites, such as www.gasbuddy.com, are designed to provide a list of local gas prices. Obtain a list of local gas prices and explore the data using the methods of this chapter and Chapter 2.
Several websites, such as www.gasbuddy.com, are designed to provide a list of local gas prices. Obtain a list of local gas prices and explore the data using the methods of this chapter and Chapter 2.
Complete the following table, then compare variation for smartphone data speeds. See Data Set 32 “Airport Data Speeds.”Data Set 32: Airport Data Speeds Data are from 50 airports (first five
Use the methods from this chapter to explore and compare the cotinine measures in the three groups. Are there any notable differences? Are there any outliers? What do you conclude about the effects
Data Set 12 “Passive and Active Smoke” in Appendix B lists measures of cotinine from three groups of subjects: (1) smokers; (2) nonsmokers exposed to environmental tobacco smoke; (3) nonsmokers
Use the amounts of arsenic from Exercise 1 to construct a stemplot.Data From Exercise 1:Listed below are measured amounts (mg per serving) of arsenic in a sample of servings of brown rice [data from
In the process of designing aircraft seats, it was found that men have hip breadths with a mean of 36.6 cm and a standard deviation of 2.5 cm (based on anthropometric survey data from Gordon,
Refer to the frequency distribution in the given exercise and find the standard deviation by using the formula below, where x represents the class midpoint, f represents the class frequency, and n
Refer to the frequency distribution in the given exercise and find the standard deviation by using the formula below, where x represents the class midpoint, f represents the class frequency, and n
Refer to the frequency distribution in the given exercise and find the standard deviation by using the formula below, where x represents the class midpoint, f represents the class frequency, and n
Refer to the frequency distribution in the given exercise and find the standard deviation by using the formula below, where x represents the class midpoint, f represents the class frequency, and n
Refer to the frequency distribution in the given exercise and find the standard deviation by using the formula below, where x represents the class midpoint, f represents the class frequency, and n
Exercise 28 “Births”Use the range rule of thumb to identify the limits separating values that are significantly low or significantly high.Data From Exercise 28:Use the birth weights (grams) of
Listed below are amounts (in millions of dollars) collected from parking meters by Brinks and others in New York City during similar time periods. A larger data set was used to convict five Brinks
Biologists conducted experiments to determine whether a deficiency of carbon dioxide in the soil affects the phenotypes of peas. Listed below are the phenotype codes, where 1 = smooth-yellow, 2 =
The 20 brain volumes (cm3) from Data Set 8 “IQ and Brain Size” in Appendix B vary from a low of 963 cm3 to a high of 1439 cm3. Use the range rule of thumb to estimate the standard deviation s and
When data are summarized in a frequency distribution, the median can be found by first identifying the median class, which is the class that contains the median. We then assume that the values in
The geometric mean is often used in business and economics for finding average rates of change, average rates of growth, or average ratios. To find the geometric mean of n values (all of which are
Find the mean of the data summarized in the frequency distribution. Also, compare the computed means to the actual means obtained by using the original list of data values, which are as follows:
Find the mean of the data summarized in the frequency distribution. Also, compare the computed means to the actual means obtained by using the original list of data values, which are as follows:
Find the mean of the data summarized in the frequency distribution. Also, compare the computed means to the actual means obtained by using the original list of data values, which are as follows: 44.1
Listed below are amounts (in millions of dollars) collected from parking meters by Brinks and others in New York City during similar time periods. A larger data set was used to convict five Brinks
In The Visual Display of Quantitative Information by Edward Tufte (Graphics Press), find the graph that appeared in American Education, and explain why Tufte says that “this may well be the worst
Find Charles Joseph Minard’s graph describing Napoleon’s march to Moscow and back, and explain why Edward Tufte says that “it may well be the best graphic ever drawn.” (See The Visual Display
Search newspapers and magazines to find an example of a graph that is misleading. Describe how the graph is misleading. Redraw the graph so that it depicts the information correctly. If possible,
The Chapter Problem uses measured service times in Data Set 25 “Fast Food” in Appendix B. Go to one or more fast food restaurants and collect your own service times. Compare the results to those
Use the methods from this chapter to address the following questions.1. Which of the four restaurants appears to have the fastest lunch drive-through service times?2. Which of the four restaurants
Data Set 25 “Fast Food” in Appendix B includes lunch and dinner drive-through service times at McDonald’s, Burger King, Wendy’s, and Dunkin’ Donuts restaurants. Several examples and
Construct the histogram that corresponds to the frequency distribution from Exercise 1. Use class midpoint values for the horizontal scale. Does the histogram suggest that the data are from a
Listed below are the numbers of home runs in Major League Baseball for each year beginning with 1990 (listed in order by row). Is there a trend?Construct the time-series graph.
Listed below are pulse rates (beats per minute) of females selected from Data Set 1 “Body Data” in Appendix B. All of those pulse rates are even numbers. Is there a pulse rate that appears to be
When using histograms to compare two data sets, it is sometimes difficult to make comparisons by looking back and forth between the two histograms. A back-to-back relative frequency histogram has a
Refer to Data Set 30 "Aluminum Cans" in Appendix B for the axial loads of aluminum cans that are 0.0111 in. thick. An axial load is the force at which the top of a can collapses. The load of 504 lb
identify the class width, class midpoints, and class boundaries for the given frequency distribution. Also identify the number of individuals included in the summary. The frequency distributions are
identify the class width, class midpoints, and class boundaries for the given frequency distribution. Also identify the number of individuals included in the summary. The frequency distributions are
identify the class width, class midpoints, and class boundaries for the given frequency distribution. Also identify the number of individuals included in the summary. The frequency distributions are
Several media reports made the interesting observation that male symphony conductors live longer than other males. John Amaral wrote in Awaken that orchestra conductors "live longer than almost any
The focus of this project is to download a data set and manipulate it to work around missing data.a. First, download Data Set 3 “Body Temperatures” in Appendix B from TriolaStats.com. Choose the
Identify each of the following as quantitative data or categorical data.a. The platelet counts in Data Set 1 “Body Data” in Appendix Bb. The cigarette brands in Data Set 13 “Cigarette
Is the study an experiment or an observational study? Explain
What does it mean when we say that the study cited in Exercise 1 was “double-blind”?Data From Exercise 1:In a study designed to test the effectiveness of paracetamol (or acetaminophen) as a
Use a graphing calculator to find the area between the curves y = f(x) = x3 - 4x and y = g(x) = x2 - 4.
What is the domain of z = 3x + 2√y/x2 + y2 ?
Dr. Paul Siple conducted studies testing the effect of wind on the formation of ice at various temperatures and developed the concept of wind chill, which we hear reported during winter weather

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