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mathematics
statistics

Questions and Answers of Statistics

Researchers conducted a randomized, double-blind study to measure the effects of the drug olanzapine on patients diagnosed with bipolar disorder. A total of 115 patients with a DSM-IV diagnosis of
Do people walk faster in the airport when they are departing (getting on a plane) or when they are arriving (getting off a plane)? Researcher Seth B. Young measured the walking speed of travelers in
Do business travelers walk at a different pace than leisure travelers? Researcher Seth B. Young measured the walking speed of business and leisure travelers in San Francisco International Airport and
Dutch researchers conducted a study in which two groups of students were asked to answer 42 questions from Trivial Pursuit. The students in group 1 were asked to spend 5 minutes thinking about what
In a Gallup poll conducted August 31–September 2, 2009, 513 national adults aged 18 years of age or older who consider themselves to be Republican were asked, “Of every tax dollar that goes to
Ramp metering is a trafï¬c engineering idea that requires cars entering a freeway to stop for a certain period of time before joining the trafï¬c ï¬‚ow. The theory is that ramp metering
Researchers at the University of Mississippi wanted to determine whether the reaction time (in seconds) of males differed from that of females to a go/no go stimulus. The researchers randomly
Researchers wanted to determine if carpeted rooms contained more bacteria than uncarpeted rooms. To determine the amount of bacteria in a room, researchers pumped the air from the room over a Petri
Researchers wanted to know whether there was a difference in comprehension among students learning a computer program based on the style of the text. They randomly divided 36 students into two groups
In baseball, the American League allows a designated hitter (DH) to bat for the pitcher, who is typically a weak hitter. In the National League, the pitcher must bat. The common belief is that this
A music industry producer wondered whether there is a difference in lengths (in seconds) of rhythm & blues songs versus alternative songs. He obtained a random sample of each music category and
One question on the Sullivan Statistics Survey asked, “What do you think is the ideal number of children for a family to have?” Do the results of the survey suggest there is a difference between
Do males tend to watch more television? Use the results of the Sullivan Statistics Survey, which asked, “How many hours did you watch television last week (Sunday though Saturday)?” Do the
Young children require a lot of time. This time commitment cuts into a parent’s leisure time. A sociologist wanted to estimate the difference in the amount of daily leisure time (in hours) of
The aluminum bottle, ï¬rst introduced in 1991 by CCL Container for mainly personal and household items such as lotions, has become popular with beverage manufacturers. Besides being lightweight
A physical therapist wanted to know whether the mean step pulse of men was less than the mean step pulse of women. She randomly selected 51 men and 70 women to participate in the study. Each subject
A physical therapist believes that women are more ï¬‚exible than men. She measures the ï¬‚exibility of 31 randomly selected women and 45 randomly selected men by
Stephen Zuro of Joliet Junior College wanted to determine whether an online homework system improved scores on a final exam. In the fall semester, he taught a precalculus class using the online
Explain why using the smaller of n1 - 1 or n2 – 1 degrees of freedom to determine the critical t instead of Formula (2) is conservative.
A researcher wanted to determine the effectiveness of a new cream in the treatment of warts. She identiï¬ed 138 individuals who had two warts. She applied cream A on one wart and cream B on the
A random sample of n1 = 120 individuals results in x1 = 43 successes. An independent sample of n2 = 130 individuals results in x2 = 56 successes. Does this represent sufﬁcient evidence to conclude
A random sample of size n = 13 obtained from a population that is normally distributed results in a sample mean of 45.3 and sample standard deviation of 12.4. An independent sample of size n = 18
A random sample of n1 = 135 individuals results in x1 = 40 successes. An independent sample of n2 = 150 individuals results in x2 = 60 successes. Does this represent sufﬁcient evidence to conclude
A random sample of size n = 41 results in a sample mean of 125.3 and a sample standard deviation of 8.5. An independent sample of size n = 50 results in a sample mean of 130.8 and sample standard
The following data represent the measure of a variable before and after a treatment.Does the sample evidence suggest that the treatment is effective in increasing the value of the response variable?
The following data represent the measure of a variable before and after a treatment.Does the sample evidence suggest that the treatment is effective in decreasing the value of the response variable?
Conduct the appropriate test to determine if the population proportions for the two treatments differ at the Î± = 0.05 level of signiï¬cance.Perform the appropriate hypothesis test.
Automobile collision insurance is used to pay for any claims made against the driver in the event of an accident. This type of insurance will typically pay to repair any assets that your vehicle
TIMS is an acronym for the Third International Mathematics and Science Study. Kumon promotes a method of studying mathematics that it claims develops mathematical ability. Do data support this claim?
In a General Social Survey, adult Americans were asked if they were happy or unhappy, and they were asked whether they were healthy or unhealthy. The table shows the results of the survey. Are
Do people tend to spend more money on fast-food when they use a credit card? The following data represent a random sample of credit-card and cash purchases.(a) Draw boxplots of each data set using
Is there a difference in the pricing at Walmart versus Target for health and beauty supplies? To answer this question, a student randomly selected 10 identical products at each store and recorded the
Alexander Todorov and associates conducted an experiment in which 695 individuals were shown black and white photographs of individuals running for Congress (either the U.S. Senate or House of
In January 2011, the national mean price per gallon (in dollars) of regular unleaded gasoline was 3.101. The following data represent a random sample of 21 gas stations in Chicago. Is gas in Chicago
In a study published in the journal Teaching of Psychology, the article “Fudging the Numbers: Distributing Chocolate Inﬂuences Student Evaluations of an Undergraduate Course” states that
The Pew Research Group asked the following question of individuals who earned in excess of $100,000 per year and those who earned less than $100,000 per year: “Do you believe that it is morally
The daily volume of a stock represents the total number of shares traded in the stock. The following data represent the daily volume (in millions) of General Electric (GE) Corporation stock and
You want to invest some money in a domestic (only U.S. stocks) mutual fund and have narrowed your choice down to value funds or growth funds. Value funds tend to invest in companies that appear to be
What is the difference between statistical significance and practical significance? Can a statistical study have statistical significance, but not practical significance?
What is a voluntary response sample, and why is such a sample generally not suitable for a statistical study?
In a study of the Gender Aide method of gender selection, 1000 users of the method gave birth to 540 boys and 460 girls. There is about a 1% chance that such extreme results would occur if the method
When making random guesses for difficult multiple-choice test questions with possible answers of a, b, c, d, and e, we expect to get about 20% of the answers correct. The Ashton Prep Program claims
Most people have IQ scores between 70 and 130. For $32, you can purchase a computer program from Highiqpro.com that is claimed to increase your IQ score by 10 to 20 points. The program claims to be
Refer to the table of pulse rates. Is there some meaningful way in which each male pulse rate is matched with the corresponding female pulse rate? If the male pulse rates and the female pulse rates
If we use the listed pulse rates with suitable methods of statistics, we conclude that when the 64.0 average (mean) of the pulse rates of the five males is compared to the 69.6 average (mean) of the
Refer to the given table of measurements. Is there some meaningful way in which the IQ scores are matched with the corresponding brain volumes? If they are matched, does it make sense to use the
A Gallup poll of 1018 adults reported that 39% believe in evolution.a. What is the exact value that is 39% of 1018?b. Could the result from part (a) be the actual number of adults who said that they
In a Consumer Reports Research Center Telephone survey of 427 women, 38% said that they purchased clothing online.a. What is the exact value that is 38% of 427?b. Could the result from part (a) be
In a Harris poll of 2302 adults, 14% said that they have a tattoo.a. What is the exact value that is 14% of 2302?b. Could the result from part (a) be actual number of adults who said that they have a
In a Harris poll of 2513 adults, 76% said that they prefer $1 to be in the form of paper currency.a. What is the exact value that is 76% of 2513?b. Could the result from part (a) be the actual number
The Associated Press provided an article with a headline stating that ATV accidents killed 704 people in the last year. The article noted that this is a new record high and compares it to 617 ATV
The Newport Chronicle ran a survey by asking readers to call in their response to this question: “Do you support the development of atomic weapons that could kill millions of innocent people?” It
Which of the following describe discrete data? a. The numbers of people surveyed in each of the next several Gallup polls b. The exact heights of individuals in a sample of several statistics
In Data Set 5 in Appendix B, blood lead levels are represented as 1 for low, 2 for medium, and 3 for high. The average (mean) of the 121 blood lead levels is 1.53. Identify the level of measurement
For each of the following, categorize the nature of the data using one of these three descriptions: (1) Discrete because the number of possible values is finite; (2) discrete because the number of
A group of students develops a scale for rating the quality of cafeteria food, with 0 representing “neutral: not good and not bad.” Bad meals are given negative numbers and good meals are given
At a national conference of the American Appliances Association, a market researcher plans to conduct a survey of conference attendees. She uses the list of attendee names and selects every 20th
You want to conduct a study to determine whether fruit consumption leads to reduced weight. Why would an experiment be better than an observational study?
A student of the author listed his adult friends, and then he surveyed a simple random sample of them. What is the population from which the simple random sample was selected? Are the results likely
The author conducted a survey of the students in all of his classes. He asked the students to indicate whether they are left-handed or right-handed. Is this convenience sample likely to provide
Bayer HealthCare LLC produces low-dose aspirin pills designed to contain 81 mg of aspirin. Because each pill contains other ingredients, including corn starch, talc, and propylene glycol, it is
Mall managers commonly research how customers use the malls. The author was approached by a pollster at the Galleria Mall in Duchess County, New York. The pollster was obviously selecting subjects
The National Highway Traffic Safety Administration (NHTSA) conducts crash tests of cars. One car of each different model is randomly selected for testing. Determine whether the sample is a simple
For the study described in Exercise 34, blinding will be used. What is blinding, and why was it important in this experiment?
In “Cardiovascular Effects of Intravenous Triiodothyronine in Patients Undergoing Coronary Artery Bypass Graft Surgery” (Journal of the American Medical Association, Vol. 275, No. 9), the authors
Currently, there are 4227 Wal-Mart stores in the United States and another 3210 stores outside of the United States. a. Are the numbers of Wal-Mart stores discrete or continuous? b. What is the level
A survey sponsored by the American Laser Centers included responses from 575 adults, and 24% of the respondents said that the face is their favorite body part (based on data from USA Today). What is
Seventy-two percent of Americans squeeze their toothpaste tube from the top. This and other not-so-serious findings are included in The First Really Important Survey of American Habits. Those results
a. The labels on U-Turn protein energy bars include the statement that these bars contain “125% less fat than the leading chocolate candy brands” (based on data from Consumer Reports magazine).
A Gallup poll was taken two years before a presidential election, and it showed that Hillary Clinton was preferred by about 50% more voters than Barack Obama. The subjects in the Gallup poll were
The Gengene Research Group has developed a procedure designed to increase the likelihood that a baby will be born a girl. In a clinical trial of their procedure, 112 girls were born to 200 different
In a recent Pew poll of 1500 adults, 52% of the respondents said that the use of marijuana should not be made legal. In the same poll, 23% of the respondents said that the use of marijuana for
Identify the type of sampling (random, systematic, convenience, stratified, cluster) used when a sample of the 1500 survey responses is obtained as described. Then determine whether the sampling
Exercise 8 referred to a Pew poll of 1500 adults, and 52% of the respondents said that the use of marijuana should not be made legal. a. Among the 1500 adults who responded, what is the number of
The given expression is used to compute a measure of the variation (variance) of three IQ scores.
The given expression is used to compute the standard deviation of three IQ scores. (The standard deviation is introduced in Section 3-3.) Round the result to one decimal place.
In a Harris Interactive survey, 2303 adults were asked whether they believe in five different things, and the accompanying table summarizes the results. Does this table describe a relative frequency
Identify the class width, class midpoints, and class boundaries for the given frequency distribution. The frequency distributions are based on real data from Appendix B.
Identify the class width, class midpoints, and class boundaries for the given frequency distribution. The frequency distributions are based on real data from Appendix B.
Identify the class width, class midpoints, and class boundaries for the given frequency distribution. The frequency distributions are based on real data from Appendix B.
Identify the class width, class midpoints, and class boundaries for the given frequency distribution. The frequency distributions are based on real data from Appendix B.
Identify the class width, class midpoints, and class boundaries for the given frequency distribution. The frequency distributions are based on real data from Appendix B.
Identify the class width, class midpoints, and class boundaries for the given frequency distribution. The frequency distributions are based on real data from Appendix B.
Construct one table that includes relative frequencies based on the frequency distributions from Exercises 5 and 6, and then compare the ages of Oscar-winning actresses and actors. Are there notable
Construct one table that includes relative frequencies based on the frequency distributions from Exercises 9 and 10, and then compare the white blood cell counts of females and males. Are there
Construct the cumulative frequency distribution that corresponds to the frequency distribution in the exercise indicated.
Construct the cumulative frequency distribution that corresponds to the frequency distribution in the exercise indicated.
Heights of statistics students were obtained by the author as part of an experiment conducted for class. The last digits of those heights are listed below. Construct a frequency distribution with 10
Weights of respondents were recorded as part of the California Health Interview Survey. The last digits of weights from 50 randomly selected respondents are listed below. Construct frequency
Refer to Data Set 1 in Appendix B and use the pulse rates (beats per minute) of males. Begin with a lower class limit of 40 and use a class width of 10. Do the pulse rates of males appear to have a
Refer to Data Set 1 in Appendix B and use the pulse rates (beats per minute) of females. Begin with a lower class limit of 50 and use a class width of 10. Compare the frequency distribution to the
Refer to the earthquake magnitudes listed in Data Set 16 of Appendix B. Begin with a lower class limit of 0.00 and use a class width of 0.50. Using a very strict interpretation of the requirements
Refer to the earthquake depths listed in Data Set 16 in Appendix B. Begin with a lower class limit of 1.00 km and use a class width of 4.00 km. Using a very strict interpretation of the requirements
Refer to Data Set 1 in Appendix B and use the red blood cell counts (million cells/μL) for males. Begin with a lower class limit of 4.00 and use a class width of 0.40. Using a very loose
Refer to Data Set 1 in Appendix B and use the red blood cell counts (million cells/μL) for females. Begin with a lower class limit of 3.60 and use a class width of 0.40. Using a very loose
Refer to Data Set 15 in Appendix B and use the times of the arrival delays. Begin with a lower class limit of –60 min and use a class width of 30 min. Based on the result; does it appear that most
Refer to Data Set 15 in Appendix B and use the times required to taxi out for takeoff. Begin with a lower class limit of 10 min and use a class width of 5 min. Based on the result, does it appear
The 2223 people aboard the Titanic include 361 male survivors, 1395 males who died, 345 female survivors, and 122 females who died. Use the given categorical data to construct the relative frequency
An analysis of 50 train derailment incidents identified the main causes listed below, where t denotes bad track, E denotes faulty equipment, H denotes human error, and O denotes other causes.Use the
Among fatal plane crashes that occurred during the past 60 years, 650 were due to pilot error, 78 were due to other human error, 156 were due to weather, 286 were due to mechanical problems, and 117

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