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mathematics
statistics

Questions and Answers of Statistics

An internal study by the Technology Services department at Lahey Electronics revealed company employees receive an average of two non-work-related e-mails per hour. Assume the arrival of these
Recent crime reports indicate that 3.1 motor vehicle thefts occur each minute in the United States. Assume that the distribution of thefts per minute can be approximated by the Poisson probability
Recent difficult economic times have caused an increase in the foreclosure rate of home mortgages. Statistics from the Penn Bank and Trust Company show their monthly foreclosure rate is now 1 loan
According to the “January theory,” if the stock market is up for the month of January, it will be up for the year. If it is down in January, it will be down for the year. According to an article
Suppose the National Hurricane Center forecasts that hurricanes will hit the strike area with a .95 probability.a. What probability distribution does this follow?b. If there are 10 hurricanes this
A recent CBS News survey reported that 67% of adults felt the U.S. Treasury should continue making pennies.Suppose we select a sample of 15 adults.a. How many of the 15 would we expect to indicate
Refer to the Real Estate data, which report information on homes sold in the Goodyear, Arizona, area last year.a. Create a probability distribution for the number of bedrooms. Compute the mean and
Refer to the Baseball 2012 data. Compute the mean number of home runs per game. To do this, first find the mean number of home runs per team for 2012. Next, divide this value by 162 (a season
A uniform distribution is defined over the interval from 6 to 10.a. What are the values for a and b?b. What is the mean of this uniform distribution?c. What is the standard deviation?d. Show that the
A uniform distribution is defined over the interval from 2 to 5.a. What are the values for a and b?b. What is the mean of this uniform distribution?c. What is the standard deviation?d. Show that the
The closing price of Schnur Sporting Goods Inc. common stock is uniformly distributed between $20 and $30 per share. What is the probability that the stock price will be:a. More than $27?b. Less than
According to the Insurance Institute of America, a family of four spends between $400 and $3,800 per year on all types of insurance. Suppose the money spent is uniformly distributed between these
The April rainfall in Flagstaff, Arizona, follows a uniform distribution between 0.5 and 3.00 inches.a. What are the values for a and b?b. What is the mean amount of rainfall for the month? What is
Customers experiencing technical difficulty with their Internet cable hookup may call an 800 number for technical support. It takes the technician between 30 seconds and 10 minutes to resolve the
The mean of a normal probability distribution is 500; the standard deviation is 10.a. About 68% of the observations lie between what two values?b. About 95% of the observations lie between what two
The mean of a normal probability distribution is 60; the standard deviation is 5.a. About what percent of the observations lie between 55 and 65?b. About what percent of the observations lie between
A normal population has a mean of 20.0 and a standard deviation of 4.0.a. Compute the z value associated with 25.0.b. What proportion of the population is between 20.0 and 25.0?c. What proportion of
A normal population has a mean of 12.2 and a standard deviation of 2.5.a. Compute the z value associated with 14.3.b. What proportion of the population is between 12.2 and 14.3?c. What proportion of
A recent study of the hourly wages of maintenance crew members for major airlines showed that the mean hourly salary was $20.50, with a standard deviation of $3.50. Assume the distribution of hourly
The mean of a normal probability distribution is 400 pounds. The standard deviation is 10 pounds.a. What is the area between 415 pounds and the mean of 400 pounds?b. What is the area between the
A normal distribution has a mean of 50 and a standard deviation of 4.a. Compute the probability of a value between 44.0 and 55.0.b. Compute the probability of a value greater than 55.0.c. Compute the
A normal population has a mean of 80.0 and a standard deviation of 14.0.a. Compute the probability of a value between 75.0 and 90.0.b. Compute the probability of a value of 75.0 or less.c. Compute
According to the Internal Revenue Service, the mean tax refund for the year 2013 was $3,000. Assume the standard deviation is $450 and that the amounts refunded follow a normal probability
The distribution of the number of viewers for the American Idol television show follows a normal distribution with a mean of 29 million and a standard deviation of 5 million. What is the probability
WNAE, an all-news AM station, finds that the distribution of the lengths of time listeners are tuned to the station follows the normal distribution. The mean of the distribution is 15.0 minutes and
Among U.S. cities with a population of more than 250,000, the mean one-way commute time to work is 24.3 minutes. The longest one-way travel time is in New York City, where the mean time is 38.3
According to media research, the typical American listened to 195 hours of music in the last year. This is down from 290 hours 4 years earlier. Dick Trythall is a big country and western music fan.
Assume a binomial probability distribution with n 5 50 and p 5 .25. Compute the following:a. The mean and standard deviation of the random variable.b. The probability that x is 15 or more.c. The
Assume a binomial probability distribution with n 5 40 and p 5 .55. Compute the following:a. The mean and standard deviation of the random variable.b. The probability that x is 25 or greater.c. The
Dottie’s Tax Service specializes in federal tax returns for professional clients, such as physicians, dentists, accountants, and lawyers. A recent audit by the IRS of the returns she prepared
Shorty’s Muffler advertises it can install a new muffler in 30 minutes or less. However, the work standards department at corporate headquarters recently conducted a study and found that 20% of the
A study conducted by the nationally known Taurus Health Club revealed that 30% of its new members are 15 pounds overweight. A membership drive in a metropolitan area resulted in 500 new members.a. It
A recent issue of Bride Magazine suggested that couples planning their wedding should expect two-thirds of those who are sent an invitation to respond that they will attend. Rich and Stacy are
Waiting times to receive food after placing an order at the local Subway sandwich shop follow an exponential distribution with a mean of 60 seconds. Calculate the probability a customer waits:a. Less
The lifetime of plasma and LCD TV sets follows an exponential distribution with a mean of 100,000 hours. Compute the probability a television set:a. Fails in less than 10,000 hours.b. Lasts more than
The Bureau of Labor Statistics’ American Time Use Survey showed that the amount of time spent using a computer for leisure varied greatly by age. Individuals age 75 and over aver-aged 0.3 hour (18
The cost per item at a supermarket follows an exponential distribution. There are many inexpensive items and a few relatively expensive ones. The mean cost per item is $3.50. What is the percentage
The amount of cola in a 12-ounce can is uniformly distributed between 11.96 ounces and 12.05 ounces.a. What is the mean amount per can?b. What is the standard deviation amount per can?c. What is the
A tube of Listerine Tartar Control toothpaste contains 4.2 ounces. As people use the tooth paste, the amount remaining in any tube is random. Assume the amount of toothpaste remaining in the tube
Many retail stores offer their own credit cards. At the time of the credit application, the customer is given a 10% discount on the purchase. The time required for the credit application process
The time patrons at the Grande Dunes Hotel in the Bahamas spend waiting for an elevator follows a uniform distribution between 0 and 3.5 minutes.a. Show that the area under the curve is 1.00.b. How
The net sales and the number of employees for aluminum fabricators with similar characteristics are organized into frequency distributions. Both are normally distributed. For the net sales, the mean
The accounting department at Weston Materials Inc., a national manufacturer of unattached garages, reports that it takes two construction workers a mean of 32 hours and a standard deviation of 2
A recent report indicated a typical family of four spends $490 per month on food. Assume the distribution of food expenditures for a family of four follows the normal distribution, with a standard
A study of long-distance phone calls made from General Electric Corporate Headquarters in Fairfield, Connecticut, revealed the length of the calls, in minutes, follows the normal probability
Shaver Manufacturing Inc. offers dental insurance to its employees. A recent study by the human resource director shows the annual cost per employee per year followed the normal probability
The annual commissions earned by sales representatives of Machine Products Inc., a manufacturer of light machinery, follow the normal probability distribution. The mean yearly amount earned is
According to the South Dakota Department of Health, the number of hours of TV viewing per week is higher among adult women than adult men. A recent study showed women spent an average of 34 hours per
According to a government study among adults in the 25- to 34-year age group, the mean amount spent per year on reading and entertainment is $1,994. Assume that the distribution of the amounts spent
Fast Service Truck Lines uses the Ford Super Duty F-750 exclusively. Management made a study of the maintenance costs and determined the number of miles traveled during the year followed the normal
Best Electronics Inc. offers a “no hassle” returns policy. The number of items returned per day follows the normal distribution. The mean number of customer returns is 10.3 per day and the
A recent news report indicated that 20% of all employees steal from their company each year. If a company employs 50 people, what is the probability that:a. Fewer than five employees steal?b. More
The Orange County Register, as part of its Sunday health supplement, reported that 64% of American men over the age of 18 consider nutrition a top priority in their lives. Suppose we select a sample
It is estimated that 10% of those taking the quantitative methods portion of the CPA examination fail that section. Sixty students are taking the exam this Saturday.a. How many would you expect to
The Georgetown, South Carolina, Traffic Division reported 40% of high-speed chases involving automobiles result in a minor or major accident. During a month in which 50 high-speed chases occur, what
Cruise ships of the Royal Viking line report that 80% of their rooms are occupied during September. For a cruise ship having 800 rooms, what is the probability that 665 or more are occupied in
The goal at U.S. airports handling international flights is to clear these flights within 45 minutes. Let’s interpret this to mean that 95% of the flights are cleared in 45 minutes, so 5% of the
The funds dispensed at the ATM machine located near the checkout line at the Kroger’s in Union, Kentucky, follows a normal probability distribution with a mean of $4,200 per day and a standard
The weights of canned hams processed at Henline Ham Company follow the normal distribution, with a mean of 9.20 pounds and a standard deviation of 0.25 pound. The label weight is given as 9.00
The Cincinnati Enquirer, in its Sunday business supplement, reported that full-time employees in the region work an average of 43.9 hours per week. The article further indicated that about one-third
Most four-year automobile leases allow up to 60,000 miles. If the lessee goes beyond this amount, a penalty of 20 cents per mile is added to the lease cost. Suppose the distribution of miles driven
The price of shares of Bank of Florida at the end of trading each day for the last year followed the normal distribution. Assume there were 240 trading days in the year. The mean price was $42.00 per
The annual sales of romance novels follow the normal distribution. However, the mean and the standard deviation are unknown. Forty percent of the time sales are more than 470,000, and 10% of the time
DeKorte Tele-Marketing Inc. is considering purchasing a machine that randomly selects and automatically dials telephone numbers. DeKorte Tele-Marketing makes most of its calls during the evening, so
A carbon monoxide detector in the Wheelock household activates once every 200 days on average. Assume this activation follows the exponential distribution. What is the probability that:a. There will
“Boot time” (the time between the appearance of the Bios screen to the first file that is loaded in Windows) on Eric Mouser’s personal computer follows an exponential distribution with a mean
The time between visits to a U.S. emergency room for a member of the general population follows an exponential distribution with a mean of 2.5 years. What proportion of the population:a. Will visit
The times between failures on a personal computer follow an exponential distribution with a mean of 300,000 hours. What is the probability of:a. A failure in less than 100,000 hours?b. No failure in
Refer to the Real Estate data, which report information on homes sold in the Goodyear, Arizona, area during the last year.a. The mean selling price (in $ thousands) of the homes was computed earlier
Refer to the Baseball 2012 data, which report information on the 30 Major League Baseball teams for the 2012 season.a. The mean attendance per team for the season was 2.495 million, with a standard
Refer to the Buena School District bus data.a. Refer to the maintenance cost variable. The mean maintenance cost for last year is $450.29, with a standard deviation of $53.69. Estimate the number of
Explain what is meant by this statement: “There is not just one normal probability distribution but a ‘family’ of them.”
Proactine, a new medicine for acne, is claimed by the manufacturer to be 80% effective. It is applied to the affected area of a sample of 15 people. What is the probability that:a. All 15 will show
Customers at the Bank of Commerce of Idaho Falls, Idaho, default at a rate of .005 on small home-improvement loans. The bank has approved 400 small home-improvement loans. Assuming the Poisson
A study of the attendance at the University of Alabama’s basketball games revealed that the distribution of attendance is normally distributed with a mean of 10,000 and a standard deviation of
Daniel-James Insurance Company will insure an offshore Mobil Oil production platform against weather losses for one year. The president of Daniel-James estimates the following losses for that
The following table shows a breakdown of the 113th U.S. Congress by party affiliation.a. A member of Congress is selected at random. What is the probability of selecting a Republican?b. Given that
The distribution of the number of school-age children per family in the Whitehall Estates area of Grand Junction, Colorado, is:a. Determine the mean and standard deviation of the number of school-age
Refer to the Century National Bank data. Is it reasonable that the distribution of checking account balances approximates a normal probability distribution? Determine the mean and the standard
In item such as an increase in taxes, recall of elected officials, or an expansion of public services can be placed on the ballot if a required number of valid signatures are collected on the
Geoff Brown is the manager for a small telemarketing firm and is evaluating the sales rate of experienced workers in order to set minimum standards for new hires. During the past few weeks, he has
Before banks issue a credit card, they usually rate or score the customer in terms of his or her projected probability of being a profitable customer. A typical scoring table appears below.The score
It came as a big surprise when Apple’s touch screen iPhone 4, considered by many to be the best Smartphone ever, was found to have a problem (The New York Times , June 24, 2010). Users complained
An accounting professor wants to know the average GPA of the students enrolled in her class. She looks up information on Blackboard about the students enrolled in her class and computes the average
Business graduates in the United States with a marketing concentration earn high salaries. According to the Bureau of Labor Statistics, the average annual salary for marketing managers was $104,400
Recent research suggests that depression significantly increases the risk of developing dementia later in life (BBC News, July 6, 2010). In a study involving 949 elderly persons, it was reported that
Which of the following variables are qualitative and which are quantitative? If the variable is quantitative, then specify whether the variable is discrete or continuous.a. Points scored in a
Which of the following variables are qualitative and which are quantitative? If the variable is quantitative, then specify whether the variable is discrete or continuous.a. Colors of cars in a mall
In each of the following scenarios, define the type of measurement scale.a. A kindergarten teacher marks whether each student is a boy or a girl.b. A ski resort records the daily temperature during
In each of the following scenarios, deine the type of measurement scale.a. An investor collects data on the weekly closing price of gold throughout a year.b. An analyst assigns a sample of bond
In each of the following scenarios, define the type of measurement scale. a. A meteorologist records the amount of monthly rainfall over the past year. b. A sociologist notes the birth year of 50
Go to www.finance.yahoo.com/ to get a current stock quote for Google, Inc. (ticker symbol 5 GOOG). Then, click on historical prices to record the monthly adjusted close price of Google stock in 2010.
Ask 20 of your friends whether they live in a dormitory, a rental unit, or other form of accommodation. Also find out their approximate monthly lodging expenses. Create a table that uses this
Go to www.zillow.com/ and find the sale price data of 20 single-family homes sold in Las Vegas, Nevada, in the last 30 days. You must include in the data set the sale price, the number of bedrooms,
The Federal Reserve Bank of St. Louis is a good source for downloading economic data. Go to research.stlouisfed.org/fred2/ to extract quarterly data on gross private saving (GPSAVE) from 2008 to 2011
Another good source of data is the U.S. Census Bureau. Go to www.census.gov/ and extract the most recent median household income for Alabama, Arizona, California, Florida, Georgia, Indiana, Iowa,
A professor records the majors of her 30 students as follows:a. What is the measurement scale of these data?b. Summarize the results in tabular form.c. What information can be extracted from thedata?
The accompanying table shows a portion of the 30Â companies that comprise the Dow Jones Industrial Average (DJIA); the full data set can be found on the text website and is labeled
A local restaurant is committed to providing its patrons with the best dining experience possible. On a recent survey, the restaurant asked patrons to rate the quality of their
First-time patients at North Shore Family Practice are required to fill out a questionnaire that gives the doctor an overall idea of each patient€™s health. The first question is:

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