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Questions and Answers of
Statistics
What is the level of measurement for each of the following variables?a. Student IQ ratings.b. Distance students travel to class.c. The jersey numbers of a sorority soccer team.d. A student’s state
The San Francisco Chronicle is a large newspaper published daily. What is the level of measurement for each of the following variables?a. The number of papers sold each Sunday during 2014.b. The
For each of the following, determine whether the group is a sample or a population. a. The participants in a study of a new cholesterol drug. b. The drivers who received a speeding ticket in Kansas
For the following situations, would you collect information using a sample or a population? Why?a. Statistics 201 is a course taught at a university. Professor Rauch has taught nearly 1,500 students
Exits along interstate highways were formerly numbered successively from the western or southern border of a state. However, the Department of Transportation has recently changed most of them to
Place these variables in the following classification tables. For each table, summarize your observations and evaluate if the results are generally true. For example, salary is reported as a
The Wall Street Journal’s website, www.wsj.com, reported the number of cars and light duty trucks sold by the eight largest automakers in the first 2 months of 2013. Compare the 2013 data to
A total of 1,000 residents in Minnesota were asked which season they preferred. One hundred liked winter best, 300 liked spring, 400 liked summer, and 200 liked fall. Develop a frequency table and a
Two thousand frequent business travelers are asked which midwestern city they prefer: Indianapolis, Saint Louis, Chicago, or Milwaukee. One hundred liked Indianapolis best, 450 liked Saint Louis,
Wellstone Inc. produces and markets replacement covers for cell phones in five different colors: bright white, metallic black, magnetic lime, tangerine orange, and fusion red. To estimate the demand
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:Fourth-Quarter
Wachesaw Manufacturing Inc. produced the following number of units in the last 16 days.The information is to be organized into a frequency distribution.a. How many classes would you recommend?b. What
The Quick Change Oil Company has a number of outlets in the metropolitan Seattle area.The daily number of oil changes at the Oak Street outlet in the past 20 days are:The data are to be organized
The manager of the BiLo Supermarket in Mt. Pleasant, Rhode Island, gathered the following information on the number of times a customer visits the store during a month. The responses of 51 customers
The food services division of Cedar River Amusement Park Inc. is studying the amount that families who visit the amusement park spend per day on food and drink. A sample of 40 families who visited
The following frequency distribution reports the number of frequent flier miles, reported in thousands, for employees of Brumley Statistical Consulting Inc. during the most recent quarter.Frequent
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 cumulative frequency polygon 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.
The following cumulative frequency polygon 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
The frequency distribution representing the number of frequent flier miles accumulated by employees at Brumley Statistical Consulting Inc. is repeated from Exercise 17.Frequent Flier Miles(000)
The frequency distribution of order lead time at Ecommerce.com from Exercise 18 is repeated below.Lead Time (days) Frequency0 up to 5 .......... 65 up to 10.......... 710 up to 15..........1215 up to
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.
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 on-time
The following is the number of minutes to commute from home to work for a group of 25 automobile executives.a. How many classes would you recommend?b. What class interval would you suggest?c. What
The following data give the weekly amounts spent on groceries for a sample of 45 households.a. How many classes would you recommend?b. What class interval would you suggest?c. What would you
A social scientist is studying the use of iPods by college students. A sample of 45 students revealed they played the following number of songs yesterday.Organize the above information into a
David Wise handles his own investment portfolio, and has done so for many years. Listed below is the holding time (recorded to the nearest whole year) between purchase and sale for his collection of
You are exploring the music in your iTunes library. The total play counts over the past year for the 27 songs on your smart playlist are shown below. Make a frequency
The monthly issues of the Journal of Finance are available on the Internet. The table below shows the number of times an issue was downloaded over the last 33 months. Suppose that you wish to
A chain of sport shops catering to beginning skiers, headquartered in Aspen, Colorado, plans to conduct a study of how much a beginning skier spends on his or her initial purchase of equipment and
The numbers of outstanding shares for 24 publicly traded companies are listed in the fol- lowing table.a. Using the number of outstanding shares, summarize the companies with a frequency
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
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
Residents of the state of South Carolina earned a total of $69.5 billion in adjusted gross income. Seventy-three percent of the total was in wages and salaries; 11% in dividends, interest, and
A recent study of home technologies reported the number of hours of personal computer usage per week for a sample of 60 persons. Excluded from the study were people who worked out of their home and
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 up to 50 years
Refer to the following chart:a. What is the name given to this type of chart?b. Suppose that 1,000 graduates will start a new job shortly after graduation. Estimate the number of graduates whose
The following chart depicts the annual revenues, by type of tax, for the state of Georgia.The chart was developed using Kids Zone, an NCES project. Their website is
In 2011, the United States exported a total of $281 billion worth of products to Canada. The five largest categories were:Product AmountVehicles ........ $46.9Machinery...... 44.2Electrical
In the United States, the industrial revolution of the early 20th century changed farming by making it more efficient. For example, in 1910 U.S. farms used 24.2 million horses and mules and only
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,
The number of families who used the Minneapolis YWCA day care service was recorded during a 30-day period. The results are as follows:a. Construct a cumulative frequency distribution.b. Sketch a
Refer to the Real Estate data, which reports information on homes sold in the Goodyear, Arizona, area during the last year. Select an appropriate class interval and organize the selling prices into a
Refer to the Baseball 2012 data that report information on the 30 Major League Baseball teams for the 2012 season. Create a frequency distribution for the the team payroll variable and answer the
Refer to the Buena School District bus data. Select the variable referring to the number of miles traveled last month, and then organize these data into a frequency distribution.a. What is a typical
Mollys Candle Shop has several retail stores in the coastal areas of North and South Carolina. Many of Mollys customers ask her to ship their purchases. The following chart
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
The following histogram shows the scores on the first exam for a statistics class.a. How many students took the exam?b. What is the class interval?c. What is the class midpoint for the first class?d.
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
A total of 5.9% of the prime-time viewing audience watched shows on ABC, 7.6% watched shows on CBS, 5.5% on Fox, 6.0% on NBC, 2.0% on Warner Brothers, and 2.2% on UPN. A total of 70.8% of the
a. Compute the mean of the following sample values: 5, 9, 4, 10.b. Show that o(x 2 x ) 5 0.
a. Compute the mean of the following sample values: 1.3, 7.0, 3.6, 4.1, 5.0.b. Show that o(x 2 x) 5 0.
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.(a) Mean, (b) Median, and (c)Mode.
The following is the percent change in net income from last year to this year for a sample of 12 construction companies in Denver.(a) Mean, (b) Median, and (c)Mode.
The following are the ages of the 10 people in the video arcade at the Sout hwyck Shopping Mall at 10 a.m.(a) Mean, (b) Median, and (c)Mode.
The unemployment rate in the state of Alaska by month 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 unemployment
The information below shows the cost for a year of college in public and private colleges in 2002–03 and 2012–13. What is the geometric mean annual increase for the period for the two
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.(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
Dave’s Automatic Door installs automatic garage door openers. The following list indicates the number of minutes needed to install 10 door openers: 28, 32, 24, 46, 44, 40, 54, 38, 32, and 42.(a)
All eight companies in the aerospace industry were 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.(a) Range, (b)
Ten 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 the taste and 50
Consider these five values a population: 8, 3, 7, 3, and 4.a. Determine the mean of the population.b. Determine the variance.
Consider these six values a population: 13, 3, 8, 10, 8, and 6.a. Determine the mean of the population.b. Determine the variance.
The annual report of Dennis Industries cited these primary earnings per common share for the past 5 years: $2.68, $1.03, $2.26, $4.30, and $3.58. If we assume these are population values, what is:a.
Referring to Exercise 43, the annual report of Dennis Industries also gave these returns on stockholder equity for the same 5-year period (in percent): 13.2, 5.0, 10.2, 17.5, and 12.9.a. What is the
Plywood Inc. reported these returns on stockholder equity for the past 5 years: 4.3, 4.9, 7.2, 6.7, and 11.6. Consider these as population values.a. Compute the range, the arithmetic mean, the
The annual incomes of the five vice presidents of TMV Industries are $125,000; $128,000; $122,000; $133,000; and $140,000. Consider this a population.a. What is the range?b. What is the arithmetic
Consider these values a sample: 7, 2, 6, 2, and 3.a. Compute the sample variance.b. Determine the sample standard deviation.
The following five values are a sample: 11, 6, 10, 6, and 7.a. Compute the sample variance.b. Determine the sample standard deviation.
Dave’s Automatic Door, referred to in Exercise 37, installs automatic garage door openers. Based on a sample, following are the times, in minutes, required to install 10 door openers: 28, 32, 24,
The sample of eight companies in the aerospace industry, referred to in Exercise 38, was surveyed as to their return on investment last year. The results are 10.6, 12.6, 14.8, 18.2, 12.0, 14.8, 12.2,
The Houston, Texas, Motel Owner Association conducted a survey regarding weekday motel rates in the area. Listed below is the room rate for business-class guests for a sample of 10 motels.a. Compute
A consumer watchdog organization is concerned about credit card debt. A survey of 10 young adults with credit card debt of more than $2,000 showed they paid an average of just over $100 per month
Estimate the mean and the standard deviation of the following frequency distribution.Class Frequency0 up to 5........ 25 up to 10........ 710 up to 15........ 1215 up to 20........ 620 up to
Estimate the mean and the standard deviation of the following frequency distribution.Class Frequency20 up to 30...... 730 up to 40...... 1240 up to 50...... 2150 up to 60...... 1860 up to 70...... 12
SCCoast, an Internet provider in the Southeast, developed the following frequency distribution on the age of Internet users. Estimate the mean and the standard deviation.Age (years) Frequency10 up to
The IRS was interested in the number of individual tax forms prepared by small accounting firms. The IRS randomly sampled 50 public accounting firms with 10 or fewer employees in the Dallas–Fort
Advertising expenses are a significant component of the cost of goods sold. Listed below is a frequency distribution showing the advertising expenditures for 60 manufacturing companies located in the
The accounting firm of Crawford and Associates has five senior partners. Yesterday the senior partners saw six, four, three, seven, and five clients, respectively.a. Compute the mean and median
The ages of a sample of Canadian tourists flying from Toronto to Hong Kong were 32, 21, 60, 47, 54, 17, 72, 55, 33, and 41.a. Compute the range.b. Compute the standard deviation.
The weights (in pounds) of a sample of five boxes being sent by UPS are 12, 6, 7, 3, and 10.a. Compute the range.b. Compute the standard deviation.
Health issues are a concern of managers, especially as they evaluate the cost of medical insurance. A recent survey of 150 executives at Elvers Industries, a large insurance and financial firm
The Apollo space program lasted from 1967 until 1972 and included 13 missions. The missions lasted from as little as 7 hours to as long as 301 hours. The duration of each flight is listed below.a.
Creek Ratz is a very popular restaurant located along the coast of northern Florida. They serve a variety of steak and seafood dinners. During the summer beach season, they do not take reservations
A sample of 25 undergraduates reported the following dollar amounts of entertainment expenses last year:a. Find the mean, median, and mode of this information.b. What are the range and standard
The Kentucky Derby is held the first Saturday in May at Churchill Downs in Louisville, Kentucky. The race track is one and one-quarter miles. The following table shows the winners since 1990, their
The manager of the local Walmart Supercenter is studying the number of items purchased by customers in the evening hours. Listed below is the number of items for a sample of 30 customers.a. Find the
The following frequency distribution reports the electricity cost for a sample of 50 two-bedroom apartments in Albuquerque, New Mexico, during the month of May last year.Electricity Cost Frequency$
Refer to the Real Estate data, which reports information on homes sold in the Goodyear, Arizona, are a during the last year. Prepare a report on the selling prices of the homes. Be sure to answer the
Refer to the Baseball 2012 data, which report information on the 30 Major League Baseball teams for the 2012 season. Refer to the variable team salary.a. Prepare a report on the team salaries. Be
Refer to the Buena School District bus data. Prepare a report on the maintenance cost for last month. Be sure to answer the following questions in your report.a. Around what values do the data tend
In June, an investor purchased 300 shares of Oracle (an information technology company) stock at $20 per share. In August, she purchased an additional 400 shares at $25 per share. In November, she
Trudy Green works for the True-Green Lawn Company. Her job is to solicit lawn-care business via the telephone. Listed below is the number of appointments she made in each of the last 25 hours of
The table below shows the percent of the labor force that is unemployed and the size of the labor force for three counties in northwest Ohio. Jon Elsas is the Regional Director of Economic
The enrollments of the 13 public universities in the state of Ohio are listed below.College EnrollmentUniversity of Akron......... 26,666Bowling Green State University.... 17,298Central State
Describe the differences between a histogram and a dot plot. When might a dot plot be better than a histogram?
Consider the following chart.a. What is this chart called?b. How many observations are in the study?c. What are the maximum and the minimum values?d. Around what values do the observations tend
The following chart reports the number of cell phones sold at Radio Shack for the last 26 days.a. What are the maximum and the minimum numbers of cell phones sold in a day?b. What is a typical number
The first row of a stem-and-leaf chart appears as follows: 62 ƒ 1 3 3 7 9. Assume whole number values.a. What is the “possible range” of the values in this row?b. How many data values are in
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