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theory of statistics

Questions and Answers of Theory of Statistics

A sample of the personnel files of eight employees at the Pawnee location of Acme Carpet Cleaners, Inc., revealed that during the last sixmonth period they lost the following number of days due to
Ten randomly selected young adults living in California rated the taste of a newly developed sushi pizza topped with tuna, rice, and kelp on a scale of 1 to 50, with 1 indicating they did not like
A sample of eight companies in the aerospace industry was surveyed as to their return on investment last year. The results are (in percent): 10.6, 12.6, 14.8, 18.2, 12.0, 14.8, 12.2, and 15.6.
Dave’s Automatic Door installs automatic garage door openers. The number of minutes to install a sample of 10 door openers is: 28, 32, 24, 46, 44, 40, 54, 38, 32, and 42. calculate the (a) range,
The Department of Statistics at Western State University offers eight sections of basic statistics. Following are the numbers of students enrolled in these sections: 34, 46, 52, 29, 41, 38, 36, and
There were five customer service representatives on duty at the Electronic Super Store during last weekend’s sale. The numbers of HDTVs these representatives sold are: 5, 8, 4, 10, and 3. calculate
The weights of containers being shipped to Ireland are (in thousands of pounds):(a) What is the range of the weights?(b) Compute the arithmetic mean weight.(c) Compute the mean deviation of the
The number of cappuccinos sold at the Starbucks location in the Orange County Airport between 4 and 7 p.m. for a sample of 5 days last year were 20, 40, 50, 60, and 80. In the LAX airport in Los
Refer to Chart 3–6 on the previous page. Find the range in the number of computer monitors produced per hour for the Baton Rouge and the Tucson plants. Interpret the two ranges.
The information below shows the cost for a year of college in public and private colleges in 1992 and 2004. What is the geometric mean annual increase for the period for the two types of colleges?
In 2001 there were 42.0 million pager subscribers. By 2006 the number of subscribers increased to 70.0 million. What is the geometric mean annual increase for the period?
In 1976 the nationwide average price of a gallon of unleaded gasoline at a self-serve pump was $0.605. By 2007 the average price had increased to$2.57. What was the geometric mean annual increase for
The Consumer Price Index is reported monthly by the U.S. Bureau of Labor Statistics. It reports the change in prices for a market basket of goods from one period to another. The index for 1994 was
In 1996 a total of 14,968,000 taxpayers in the United States filed their individual tax returns electronically. By the year 2006 the number increased to 73,300,000. What is the geometric mean annual
Compute the geometric mean of the following percent increases: 2, 8, 6, 4, 10, 6, 8, and 4.
Compute the geometric mean of the following percent increases: 8, 12, 14, 26, and 5.
Production of Cablos trucks increased from 23,000 units in 1986 to 120,520 units in 2006. Find the geometric mean annual percent increase.
The percent increase in sales for the last 4 years at Combs Cosmetics were: 4.91, 5.75, 8.12, and 21.60.(a) Find the geometric mean percent increase.(b) Find the arithmetic mean percent increase.(c)
During the decade of the 1990s, and into the 2000s, Nevada was the fastest growing state in the United States. The population increased from 1,201,833 in 1990 to 2,495,529 in 2006. This is an
The return on investment earned by Atkins Construction Company for four successive years was: 30 percent, 20 percent, -40 percent, and 200 percent. What is the geometric mean rate of return on
Big Orange Trucking is designing an information system for use in “incab”communications. It must summarize data from eight sites throughout a region to describe typical conditions. Compute an
The unemployment rate in the state of Alaska for the 12 months of 2006 is given in the table below:a. What is the arithmetic mean of the Alaska unemployment rates?b. Find the median and the mode for
The weekly sales from a sample of Hi-Tec electronic supply stores were organized into a frequency distribution. The mean of weekly sales was computed to be $105,900, the median $105,000, and the mode
Table 2–4 here shows the prices of the 80 vehicles sold last month at Whitner Autoplex in Raytown, Missouri. Determine the mean and the median selling price.
The demand for the video games provided by Mid-Tech Video Games, Inc., has exploded in the last several years. Hence, the owner needs to hire several new technical people to keep up with the demand.
The accounting firm of Rowatti and Koppel specializes in income tax returns for self-employed professionals, such as physicians, dentists, architects, and lawyers. The firm employs 11 accountants who
Listed below are the total automobile sales (in millions of dollars) in the United States for the last 14 years. During this period, what was the median number of automobiles sold? What is the mode?
Listed below are several indicators of long-term economic growth in the United States. The projections are through the year 2008.a. What is the median percent change?b. What is the modal percent
The following are the ages of the 10 people in the video arcade at the Southwyck Shopping Mall at 10 A.M. determine the (a) mean, (b) median, and (c) mode. 12 8 17 6 11 11 14 8 17 10 8
The following is the percent change in net income from 2006 to 2007 for a sample of 12 construction companies in Denver. determine the (a) mean, (b) median, and (c) mode. 5 1 -10 -6 5 12 7 8 25 7825
The following is the number of oil changes for the last 7 days at the Jiffy Lube located at the corner of Elm Street and Pennsylvania Avenue. determine the (a) mean, (b) median, and (c) mode. 41 15
What would you report as the modal value for a set of observations if there were a total of:a. 10 observations and no two values were the same?b. 6 observations and they were all the same?c. 6
The number of work stoppages in the automobile industry for selected months are 6, 0, 10, 14, 8, and 0.(a) What is the median number of stoppages?(b) How many observations are below the median? Above
A sample of single persons in Towson, Texas, receiving Social Security payments revealed these monthly benefits: $852, $598,$580, $1,374, $960, $878, and $1,130.(a) What is the median monthly
The annual salaries of quality-control managers in selected states are shown below. What is the modal annual salary? State Salary State Salary State Salary Arizona $35,000 Illinois $58,000 Ohio
The three-year annualized total returns of the six topperforming diversified mutual funds are listed below. What is the median annualized return? Name of Fund Annualized Total Return Artisian Mid Cap
Andrews and Associates specialize in corporate law. They charge $100 an hour for researching a case, $75 an hour for consultations, and $200 an hour for writing a brief. Last week one of the
Springers sold 95 Antonelli men’s suits for the regular price of $400. For the spring sale the suits were reduced to $200 and 126 were sold. At the final clearance, the price was reduced to $100
The Carter Construction Company pays its hourly employees$16.50, $19.00, or $25.00 per hour. There are 26 hourly employees, 14 of which are paid at the $16.50 rate, 10 at the $19.00 rate, and 2 at
A large pharmaceutical company hires business administration graduates to sell its products. The company is growing rapidly and dedicates only one day of sales training for new salespeople. The
AAA Heating and Air Conditioning completed 30 jobs last month with a mean revenue of $5,430 per job. The president wants to know the total revenue for the month. Based on the limited information, can
The Human Relations Director at Ford began a study of the overtime hours in the Inspection Department. A sample of 15 workers showed they worked the following number of overtime hours last month. 13
The Cambridge Power and Light Company selected a random sample of 20 residential customers. Following are the amounts, to the nearest dollar, the customers were charged for electrical service last
The accounting department at a mail-order company counted the following numbers of incoming calls per day to the company’s toll-free number during the first 7 days in May 2007: 14, 24, 19, 31, 36,
There are 10 salespeople employed by Midtown Ford. The number of new cars sold last month by the respective salespeople were: 15, 23, 4, 19, 18, 10, 10, 8, 28, 19.
Compute the mean hourly wage paid to carpenters who earned the following hourly wages: $15.40, $20.10, $18.75, $22.76, $30.67, $18.00.For Exercises 7–10, (a) compute the arithmetic mean and (b)
a. Compute the mean of the following sample values: 1.3, 7.0, 3.6, 4.1, 5.0.b. Show that xxx-x)-0
a. Compute the mean of the following sample values: 5, 9, 4, 10.b. Show that . - - 0
All the students in advanced Computer Science 411 are a population.Their course grades are 92, 96, 61, 86, 79, and 84.(a) Give the formula for the population mean.(b) Compute the mean course
The annual incomes of a sample of middle-management employees at Westinghouse are: $62,900, $69,100, $58,300, and $76,800.(a) Give the formula for the sample mean.(b) Find the sample mean.(c) Is the
Explain the characteristics, uses, advantages, and disadvantages of each measure of location.
Refer to the CIA data, which reports demographic and economic information on 46 countries. Develop a frequency distribution for the variable GDP per capita. Summarize your findings. What is the shape
Refer to the Wage data, which reports information on annual wages for a sample of 100 workers. Also included are variables relating to industry, years of education, and gender for each worker. Draw a
Refer to the Baseball 2006 data, which reports information on the 30 Major League Baseball teams for the 2006 season.a. Organize the information on the team salaries into a frequency distribution.
Refer to the Real Estate data at the end of the book, which reports information on homes sold in the Denver, Colorado, area during the last year.a. Organize the data on number of bedrooms into a
Monthly and year-to-date truck sales are available at the website:www.pickuptruck.com. Go to this site and search under News to obtain the most recent information on sales. Make a pie chart or a bar
One of the most popular candies in the United States is M&M’s, which are produced by the Mars Company. In the beginning M&M’s were all brown; more recently they were produced in red, green, blue,
Farming has changed from the early 1900s. In the early 20th century, machinery gradually replaced animal power. For example, in 1910 U.S.farms used 24.2 million horses and mules and only about 1,000
Annual imports from selected Canadian trading partners are listed below for the year 2005. Develop an appropriate chart or graph and write a brief report summarizing the information. Partner Japan
The American Heart Association reported the following percentage breakdown of expenses. Draw a pie chart depicting the information.Interpret. Category Research Percent 32.3 Public Health Education
Annual revenues, by type of tax, for the state of Georgia are as follows.Develop an appropriate chart or graph and write a brief report summarizing the information. Amount Type of Tax ($000) Sales
In spring 2007, a total of 6.4 percent of the prime time viewing audience watched shows on ABC, 8.1 percent watched shows on CBS, 6.2 percent on Fox, 6.1 percent on NBC, 2.1 percent on Warner
Merrill Lynch recently completed a study regarding the size of online investment portfolios (stocks, bonds, mutual funds, and certificates of deposit) for a sample of clients in the 40- to
Residents of the state of South Carolina earned a total of $69.5 billion in 2005 in adjusted gross income. Seventy-three percent of the total was in wages and salaries; 11 percent in dividends,
Midland National Bank selected a sample of 40 student checking accounts. Below are their end-of-the-month balances.a. Tally the data into a frequency distribution using $100 as a class interval and
A recent survey showed that the typical American car owner spends$2,950 per year on operating expenses. Below is a breakdown of the various expenditure items. Draw an appropriate chart to portray the
Following is the number of shareholders for a selected group of large companies (in thousands):a. Using seven classes and a lower limit of 130, construct a frequency distribution.b. Portray the
Pomery Sports in Aspen, Colorado, recently conducted a study of how much a beginning skier spends on his or her initial purchase of equipment and supplies. Based on these figures, Pomery wants to
The following chart summarizes the selling price of homes sold last month in the Sarasota, Florida, area.a. What is the chart called?b. How many homes were sold during the last month?c. What is the
The following data give the weekly amounts spent on food items for a sample of Hornbacher’s North Dakota customers.a. How many classes would you recommend?b. What class interval would you
There are 25 employees in the accounting department of East Penn Manufacturing, the world’s largest and most modern battery manufacturing facility, located in Lyons Station, Pennsylvania. The
Speedy Swift is a package delivery service that serves the greater Atlanta, Georgia metropolitan area. To maintain customer loyalty, one of Speedy Swift’s performance objectives is ontime delivery.
Alexandra Damonte will be building a new resort in Myrtle Beach, South Carolina. She must decide how to design the resort based on the type of activities that the resort will offer to its customers.
Describe the similarities and differences of a frequency table and a frequency distribution. Be sure to include which requires qualitative data and which requires quantitative data.
Describe the similarities and differences of qualitative and quantitative variables. Be sure to include:a. What level of measurement is required for each variable type?b. Can both types be used to
The frequency distribution of order lead time at Ecommerce.comfrom Exercise 18 is repeated below.a. How many orders were filled in less than 10 days? In less than 15 days?b. Convert the frequency
The frequency distribution representing the number of frequent flier miles accumulated by employees at Brumley Statistical Consulting Company is repeated from Exercise 17.a. How many employees
The following chart shows the selling price ($000) of houses sold in the Billings, Montana area.a. How many homes were studied?b. What is the class interval?c. One hundred homes sold for less than
The following chart shows the hourly wages of a sample of certified welders in the Atlanta, Georgia area.a. How many welders were studied?b. What is the class interval?c. About how many welders earn
A sample of the hourly wages of 15 employees at Home Depot in Brunswick, Georgia, was organized into the following table.(a) What is the table called?(b) Develop a cumulative frequency distribution
Ecommerce.com, a large Internet retailer, is studying the lead time(elapsed time between when an order is placed and when it is filled)for a sample of recent orders. The lead times are reported in
The following frequency distribution reports the number of frequent flier miles, reported in thousands, for employees of Brumley Statistical Consulting, Inc., during the first quarter of 2007.a. How
The following chart shows the number of patients admitted daily to Memorial Hospital through the emergency room.a. What is the midpoint of the 2 up to 4 class?b. How many days were 2 up to 4 patients
Molly’s Candle Shop has several retail stores in the coastal areas of North and South Carolina. Many of Molly’s customers ask her to ship their purchases. The chart on next page shows the number
The annual imports of a selected group of electronic suppliers are shown in the following frequency distribution.(a) Portray the imports as a histogram.(b) Portray the imports as a relative frequency
Below is the frequency distribution.Construct a histogram. What conclusions can you reach based on the information presented in the histogram? Selling Prices ($ thousands) 15 up to 18 Frequency 8 18
The food services division of Cedar River Amusement Park, Inc., is studying the amount families who visit the amusement park spend per day on food and drink. A sample of 40 families who visited the
A set of data consists of 45 observations between $0 and $29. What size would you recommend for the class interval?
Refer to Table 2–8, which shows the relative frequency distribution for the vehicles sold last month at Whitner Autoplex.(a) How many vehicles sold for $18,000 up to $21,000?(b) What percent of the
Barry Bonds of the San Francisco Giants established a new single season home run record by hitting 73 home runs during the 2001 season. The longest of these home runs traveled 488 feet and the
The commissions earned for the first quarter of last year by the 11 members of the sales staff at Master Chemical Company are:(a) What are the values such as $1,650 and $1,475 called?(b) Using $1,400
A small business consultant is investigating the performance of several companies. The fourth quarter sales for last year (in thousands of dollars) for the selected companies were:The consultant
Wellstone, Inc., produces and markets replacement covers for cell phones in a variety of colors. The company would like to allocate its production plans to five different colors: bright white,
Two thousand frequent Midwestern business travelers are asked which Midwest city they prefer: Indianapolis, Saint Louis, Chicago, or Milwaukee. The results were 100 liked Indianapolis best, 450 liked
A total of 1,000 residents in Minnesota were asked which season they preferred. The results were 100 liked winter best, 300 liked spring, 400 liked summer, and 200 liked fall. If the data were
Refer to your local paper, USA Today, or the Internet and find two examples of qualitative variables.
SkiLodges.com is test marketing its new website and is interested in how easy its Web page design is to navigate. It randomly selected 200 regular Internet users and asked them to perform a search
Refer to the CIA data, which report demographic and economic information on 46 countries.a. Which of the variables are quantitative and which are qualitative?b. Determine the level of measurement for
Refer to the Wage data, which report information on annual wages for a sample of 100 workers. Also included are variables relating to industry, years of education, and gender for each worker.a. Which
Refer to the Baseball 2006 data, which report information on the 30 Major League Baseball teams for the 2006 season. Consider the following variables: number of wins, team salary, season attendance,

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