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Questions and Answers of
Statistics
Random collections of nine different solutions of a calcium compound were given to two laboratories A and B. Each laboratory measured the calcium content (in mmol per liter) and reported the results.
The January mean number of sunspots is recorded for a sequence of recent Januaries.Use level of significance 5% to test for randomness about the median. Interpret the results.
Does the average length of time to earn a doctorate differ from one field to another? Independent random samples from large graduate schools gave the following averages for length of registered
Twenty-two fourth-grade children were randomly divided into two groups. Group A was taught spelling by a phonetic method. Group B was taught spelling by a memorization method. At the end of the
If two or more data values are the same, how is the rank of each of the tied data computed?
Are yields for organic farming different from conventional farming yields? Independent random samples from method A (organic farming) and method B (conventional farming) gave the following
Are yields for organic farming different from conventional farming yields? Independent random samples from method A (organic farming) and method B (conventional farming) gave the following
A horse trainer teaches horses to jump by using two methods of instruction. Horses being taught by method A have a lead horse that accompanies each jump. Horses being taught by method B have no lead
Is the crime rate in New York different from the crime rate in New Jersey? Independent random samples from region A (cities in New York) and region B (cities in New Jersey) gave the following
A cognitive aptitude test consists of putting together a puzzle. Eleven people in group A took the test in a competitive setting (first and second to finish received a prize). Twelve people in group
A psychologist has developed a mental alertness test. She wishes to study the effects (if any) of type of food consumed on mental alertness. Twenty-one volunteers were randomly divided into two
Is there a link between exercise and level of education? Independent random samples of adults from group A (college graduates) and group B (no high school diploma) gave the following information
Turbid water is muddy or cloudy water. Sunlight is necessary for most life forms; thus turbid water is considered a threat to wetland ecosystems. Passive filtration systems are commonly used to
Big Rock Insurance Company did a study of per capita income and volume of insurance sales in eight Midwest cities. The volume of sales in each city was ranked, with 1 being the largest volume. The
A data-processing company has a training program for new salespeople. After completing the training program, each trainee is ranked by his or her instructor. After a year of sales, the same class of
As an economics class project, Debbie studied a random sample of 14 stocks. For each of these stocks, she found the cost per share (in dollars) and ranked each of the stocks according to cost. After
A psychology professor is studying the relation between overcrowding and violent behavior in a rat colony. Eight colonies with different degrees of overcrowding are being studied. By using a
Is there a relation between murder and arson? A random sample of 15 Midwest cities (over 10,000 population) gave the following information about annual number of murder and arson cases(i) Rank-order
An army psychologist gave a random sample of seven soldiers a test to measure sense of humor and another test to measure aggressiveness. Higher scores mean greater sense of humor or more
Is there a relation between incidents of child abuse and number of runaway children? A random sample of 15 cities (over 10,000 population) gave the following information about the number of reported
Is there a relation between police protection and re protection? A random sample of large population areas gave the following information about the number of local police and the number of local
Sand and clay studies were conducted at the West Side Field Station of the University of California. Twelve consecutive depths, each about 15 cm deep, were studied and the following percentages of
For each successive presidential term from Franklin Pierce (the 14th president, elected in 1853) to George W. Bush (43rd president), the party affiliation controlling the White House follow, where
Professor Cornish studied rainfall cycles and sunspot cycles. Part of the data include amount of rain (in mm) for 6-day intervals. The following data give rain amounts for consecutive 6-day intervals
For each successive presidential term from Teddy Roosevelt to George W. Bush (rst term), the party affiliation controlling the White House follow, where R designates Republican and D designates
The majority party of the U.S. House of Representatives for each year from 1973 to 2003 follow, where D and R represent Democrat and Republican, respectivelyD D D D D D D D D D D R R R R R R RTest
Researchers experimenting with cloud seeding in Arizona want a random sequence of days for their experiments Suppose they have the following itinerary for consecutive days, where S indicates a day
Changes in the earth’s rotation are exceedingly small. However, a very long-term trend could be important. Let I represent an increase and D a decrease in the rate of the earth’s rotation. The
Many economists and financial experts claim that the price level of a stock or bond is not random; rather, the price changes tend to follow a random sequence over time. The following data represent
The following data represent annual percentage returns on Vanguard Total Bond Index for a sequence of recent years. This fund represents nearly all publicly traded U.S. bonds.(i) Convert this
Sand and clay studies were conducted at the West Side Field Station of the University of California. Twelve consecutive depths, each about 15 cm deep, were studied and the following percentages of
For the past 16 years, the yields of wheat (in tons) grown on a plot at Rothamsted Experimental Station (England) follow. The sequence is by year.Use level of significance 5% to test for randomness
In the production of synthetic motor lubricant from coal, a new catalyst has been discovered that seems to affect the viscosity index of the lubricant. In an experiment consisting of 23 production
Professor Adams wrote a book called Improving Your Memory. The professor claims that if you follow the program outlined in the book, your memory will definitely improve. Fifteen people took the
A chain of hardware stores is trying to sell more paint by mailing pamphlets describing the paint. In 15 communities containing one of these hardware stores, the paint sales (in dollars) were
An obedience school for dogs experimented with two methods of training. One method involved rewards (food, praise); the other involved no rewards. The dogs were randomly placed into two independent
At McDouglas Hamburger stands, each employee must undergo a training program before he or she is assigned. A group of nine people went through the training program and were assigned to work at the
Two expert French chefs judged chocolate mousse made by students in a Paris cooking school. Each chef ranked the best chocolate mousse as 1.Use a 0.10 level of significance to test the claim that
Dr. Gill wants to arrange the answers to a true–false exam in random order. The answers in order of occurrence
Figure provides a bar chart showing the annual revenue for Google from 2004 to 2014. (The Wall Street Journal, August 19, 2014).a. What is the variable of interest?b. Are the data categorical or
The following data show the number of rental cars in service for three rental car companies: Hertz, Avis, and Dollar, over a four-year period.a. Construct a time series graph for the years 1 to 4
The U.S. Census Bureau tracks sales per month for various products and services through its Monthly Retail Trade Survey. Figure shows monthly bookstore sales in millions of dollars for 2014.a. Are
A manager of a large corporation recommends a $10,000 raise be given to keep a valued subordinate from moving to another company. What internal and external sources of data might be used to decide
Quantcast.com provides the number of people from the United States who visit a given website. The list below shows the number of U.S. visitors for the 50 most highly visited websites (Quantcast.com
The following cross tabulation shows the average speed of the 25 winners by year of the Daytona 500 automobile race (The 2013 World Almanac).a. Calculate the row percentages.b. W hat is the apparent
The DATAfile Snow contains average annual snowfall (inches) for 51 major U.S. cities over 30 years. For example, the average low temperature for Columbus, Ohio is 44 degrees and the average annual
Consumer complaints are frequently reported to the Better Business Bureau. In 2011, the industries with the most complaints to the Better Business Bureau were banks, cable and satellite television
The following table shows the total return and the number of funds for four categories of mutual funds.a. Using the number of funds as weights, compute the weighted average total return for these
Annual revenue for Corning Supplies grew by 5.5% in 2011; 1.1% in 2012; 23.5% in 2013; 21.1% in 2014; and 1.8% in 2015. What is the mean growth annual rate over this period?
Suppose that at the beginning of Year 1 you invested $10,000 in the Stivers mutual fund and $5000 in the Trippi mutual fund. The value of each investment at the end of each subsequent year is
Scores turned in by an amateur golfer at the Bonita Fairways Golf Course in Bonita Springs, Florida during 2014 and 2015 are as follows:a. Use the mean and standard deviation to evaluate the golfer's
The DATAfile TwoStocks contains adjusted monthly stock prices for technology company Apple, Inc. and consumer-goods company Procter and Gamble (P&G) for the years 2010-2014. a. Develop a scatter
A Gallup Poll of U.S. adults indicated that Kentucky is the state with the highest percentage of smokers (Gallup.com, December 2015). Consider the following example data from the Tri-State region, an
A marketing firm would like to test-market the name of a new energy drink targeted at 18- to 29-year-olds via social media. A study by the Pew Research Center found that 35% of U.S. adults (18 and
Consider the following example survey results of 18- to 34-year-olds in the United States, in response to the question "Are you currently living with your family?":a. Develop the joint probability
National Basketball Association player Jamal Crawford of the L.A. Clippers is an excellent free-throw shooter, making 93% of his shots (ESPN website). Assume that, late in a basketball game, Jamal
Below are the results of a survey of 1364 individuals who were asked if they use social media and other websites to voice their opinions about television programs.a. Show a joint probability
A study reported by Forbes indicated that the five most common words appearing in spam e-mails are shipping!, today!, here!, available, and fingertips! Many spam filters separate spam from ham
Wendy's restaurant has been recognized for having the fastest average service time among fast food restaurants. In a benchmark study, Wendy's average service time of 2.2 minutes was less than those
The American Time Use Study is a survey of people in the United States regarding the amount of time they spend on various activities in a typical day. On a given day, 22% of American men participate
Gebhardt Electronics produces a wide variety of transformers that it sells directly to manufacturers of electronics equipment. For one component used in several models of its transformers, Gebhardt
The average full-sized front-loading Energy Star clothes washer uses 15 gallons of water per load (greenbuildingadvisor.com, December 4, 2015). Assume that the population standard deviation for the
The Wall Street Journal reported that 33% of taxpayers with adjusted gross incomes between $30,000 and $60,000 itemized deductions on their federal income tax return. The mean amount of deductions
The Economic Policy Institute periodically issues reports on wages of entry-level workers. The institute reported that entry-level wages for male college graduates were $21.68 per hour and for female
According to the Current Results website, the state of California has a mean annual rainfall of 22 inches, whereas the state of New York has a mean annual rainfall of 42 inches. Assume that the
According to Reader's Digest, 42% of primary care doctors think their patients receive unnecessary medical care. a. Suppose a sample of 300 primary care doctors was taken. Show the sampling
Thirty-six percent of all Americans drink bottled water more than once a week (Natural Resources Defense Council, December 4, 2015). Suppose you have been hired by the Natural Resources Defense
Martina Levitt, director of marketing for the messaging app Spontanversation, has been assigned the task of profiling users of this app. Assume that individuals who have downloaded Spontanversation
Consider the Spontanversation sampling problem for which individuals who have downloaded Spontanversation use the app an average of 30 times per day with a standard deviation of 6. a. What is the
The Wall Street Journal reported that 37% of all entrepreneurs who opened new U.S. businesses in the previous year were female (The Wall Street Journal, May 13, 2015). a. Suppose a random sample of
The vice president of sales for Blasterman Cosmetics, Inc. believes that 40% of the company's orders come from customers who are less than 30 years old. A random sample of 10,000 orders will be used
According to U.S. News & World Report's publication America's Best Colleges, the average cost to attend the University of Southern California (USC) after deducting grants based on need is $27,175.
Fifteen percent of Australians smoke. Reuters reports that by introducing tough laws banning brand labels on cigarette packages, Australia hopes to reduce the percentage of people smoking to 10% by
Last year Marion Dairies decided to enter the yogurt market, and it began cautiously by producing, distributing, and marketing a single flavor - a blueberry-flavored yogurt that it calls Blugurt. The
The Pew Research Center conducted a survey of 45,535 adults in 40 countries to learn about major concerns for the future (Pew Research Center website, December 5, 2015). The survey results showed
According to Thomson Financial, through last month, the majority of companies reporting profits had beaten estimates. A sample of 162 companies showed that 104 beat estimates, 29 matched estimates,
The percentage of Texans not covered by health care insurance in 2015 was 17% (The Henry J. Kaiser Family Foundation website, December 5, 2015). The Texas Health and Human Services Commission (HHSC)
Suppose a sample of 10001 erroneous Federal income tax returns from last year has been taken and is provided in the DATAfile FedTaxErrors. A positive value indicates the taxpayer underpaid and a
According to the Census Bureau, 2,475,780 people are employed by the federal government in the United States (U.S. Census Bureau website, May 30, 2016). Suppose that a random sample of 3500 of these
Internet users were recently asked online to rate their satisfaction with the web browser they use most frequently. Of 102,519 respondents, 65,120 indicated they were very satisfied with the web
ABC News reports that 58% of U.S. drivers admit to speeding (ABC News website, May 27, 2016). Suppose that a new satellite technology can instantly measure the speed of any vehicle on a U.S. road and
GlobalWebIndex reports that American Internet users spend an average of 1.72 hours per day on social media platforms (SocialTimes website, December 4, 2015). Suppose we collect a sample of 75 teenage
Mileage tests are conducted for a particular model of automobile. If a 98% confidence interval with a margin of error of 1 mile per gallon is desired, how many automobiles should be used in the test?
The American Enterprise Institute (AEI) Public Opinion Study found that 86% of Americans are satisfied with their job (AEI website, December 4, 2015). Is this consistent across age groups? A
The National Fire Protection Association reported that house fires in the United States result in $6.8 billion in losses annually (National Fire Protection Association, September 2015). Suppose a
The Wall Street Journal reported on several studies that show massage therapy has a variety of health benefits and it is not too expensive. A sample of 10 typical one-hour massage therapy sessions
Young Professional magazine was developed for a target audience of recent college graduates who are in their first 10 years in a business/professional career. In its two years of publication, the
Gulf Real Estate Properties, Inc. is a real estate firm located in southwest Florida. The company, which advertises itself as "expert in the real estate market," monitors condominium sales by
Metropolitan Research, Inc., a consumer research organization, conducts surveys designed to evaluate a wide variety of products and services available to consumers. In one particular study,
The manager of the Danvers-Hilton Resort Hotel stated that the mean guest bill for a weekend is $600 or less. A member of the hotel's accounting staff noticed that the total charges for guest bills
According to the Hospital Care Cost Institute the annual expenditure for prescription drugs is $838 per person in the Northeast region of the country. A sample of 60 individuals in the Midwest shows
The United States ranks ninth in the world in per capita chocolate consumption; the average American eats 9.5 pounds of chocolate annually (Forbes, July 22, 2015). Suppose you are curious whether
A large department of the Federal Government wants to determine whether the average number of business emails sent and received per business day by its employees differs from the average number of
CEOs who belong to a popular business-oriented social networking service have an average of 930 connections. Do other members have fewer connections than CEOs? The number of connections for a random
The American Potato Growers Association (APGA) would like to test the claim that the proportion of fast food orders this year that includes French fries exceeds the proportion of fast food orders
According to CNN, 55% of all U.S. smartphone users have used their GPS capability to get directions (CNN.com, May 2016). Suppose a provider of wireless telephone service in Canada wants to know if
The mean time to earn a bachelor's degree is 5.8 years (Education Planning Resources website, December 5, 2015). Suppose you would like to determine whether the mean time to earn a bachelor's degree
Fifty-two percent of Americans report that they generally can sleep during flights (Expedia website, December 6, 2015). Are people who fly frequently more likely to be able to sleep during flights?
The Bureau of Labor Statistics reports a 6.0% unemployment rate for Americans whose maximum attained level of education is a high school diploma (Bureau of Labor Statistics website, December 5,
Quality Associates, Inc., a consulting firm, advises its clients about sampling and statistical procedures that can be used to control their manufacturing processes. In one particular application, a
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