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Sampling and Data - Business Statistics - Homework, Exercises of Business Statistics

Indiana University Bloomington (IU)Business Statistics

Saylor.org - [Category] Business Administration - [Course] Business Statistics - [Unit 4] Sampling and Sampling Distributions - [Unit 4.2] Assessments for Unit 4 - [Assessment] Connexions: Susan Dean and Barbara Illowsky’s Collaborative Statistics: “Sampling and Data: Homework”

Typology: Exercises

2013/2014

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Source URL: http://cnx.org/content/m16010/latest/
Saylor URL: http://saylor.org/courses/bus204
Attributed to: [Susan Dean and Barbara Illowsky] Saylor.org
Page 1 of 11
SAMPLING)AND)DATA:)HOMEWORK)
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EXERCISE!1!
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2. Give&an&example&of&the&data.&
• Number&of&tickets&sold&to&a&concert&
• Amount&of&body&fat&
• Favorite&baseball&team&
• Time&in&line&to&buy&groceries&
• Number&of&students&enrolled&at&Evergreen&Valley&College&
• Most–watched&television&show&
• Brand&of&toothpaste&
• Distance&to&the&closest&movie&theatre&
• Age&of&executives&in&Fortune&500&companies&
• Number&of&competing&computer&spreadsheet&software&packages&
&
EXERCISE!2!
Fifty&partDtime&students&were&asked&how&many&courses&they&were&taking&this&term.&&The&(incomplete)&
results&are&shown&below:&
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Relative!Frequency!
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Frequency!
1!
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1. Fill&in&the&blanks.&
2. What&percent&of&students&take&exactly&two&courses?&&__________&
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Source URL: http://cnx.org/content/m16010/latest/ Saylor URL: http://saylor.org/courses/bus Attributed to: [Susan Dean and Barbara Illowsky] Saylor.org

SAMPLING AND DATA: HOMEWORK

Susan Dean and Barbara Illowsky (2012) EXERCISE 1 For each item below:

  1. Identify the type of data (quantitative -­‐ discrete, quantitative -­‐ continuous, or qualitative) that would be used to describe a response.
  2. Give an example of the data.
    • Number of tickets sold to a concert
    • Amount of body fat
    • Favorite baseball team
    • Time in line to buy groceries
    • Number of students enrolled at Evergreen Valley College
    • Most–watched television show
    • Brand of toothpaste
    • Distance to the closest movie theatre
    • Age of executives in Fortune 500 companies
    • Number of competing computer spreadsheet software packages EXERCISE 2 Fifty part-­‐time students were asked how many courses they were taking this term. The (incomplete) results are shown below: **Part-­‐time Student Course Loads

of Courses Frequency Relative Frequency Cumulative Relative

Frequency 1 30 0. 2 15 3** 1. Fill in the blanks. 2. What percent of students take exactly two courses? __________

Source URL: http://cnx.org/content/m16010/latest/ Saylor URL: http://saylor.org/courses/bus Attributed to: [Susan Dean and Barbara Illowsky] Saylor.org

  1. What percent of students take one or two courses? ___________ EXERCISE 3 Sixty adults with gum disease were asked the number of times per week they used to floss before their diagnoses. The (incomplete)results are shown below: **Flossing Frequency of Adults with Gum Disease

of Flossings per Week Frequency Relative Frequency Cumulative Relative

Frequency** 0 27 0. 1 18 3 0. 6 3 0. 7 1 0.

  1. Fill in the blanks.
  2. What percent of adults flossed six times per week?
  3. What percent flossed at most three times per week? EXERCISE 4 A fitness center is interested in the average amount of time a client exercises in the center each week. Define the following in terms of the study. Give examples where appropriate.
  • Population
  • Sample
  • Parameter
  • Statistic
  • Variable
  • Data EXERCISE 5 Ski resorts are interested in the average age that children take their first ski and snowboard lessons. They need this information to optimally plan their ski classes. Define the following in terms of the study. Give examples where appropriate.

Source URL: http://cnx.org/content/m16010/latest/ Saylor URL: http://saylor.org/courses/bus Attributed to: [Susan Dean and Barbara Illowsky] Saylor.org

  • Population
  • Sample
  • Parameter
  • Statistic
  • Variable
  • Data EXERCISE 9 A marriage counselor is interested in the proportion of clients she counsels that stay married. Define the following in terms of the study. Give examples where appropriate.
  • Population
  • Sample
  • Parameter
  • Statistic
  • Variable
  • Data EXERCISE 10 Political pollsters may be interested in the proportion of people that will vote for a particular cause. Define the following in terms of the study. Give examples where appropriate.
  • Population
  • Sample
  • Parameter
  • Statistic
  • Variable
  • Data EXERCISE 11 A marketing company is interested in the proportion of people that will buy a particular product. Define the following in terms of the study. Give examples where appropriate.

Source URL: http://cnx.org/content/m16010/latest/ Saylor URL: http://saylor.org/courses/bus Attributed to: [Susan Dean and Barbara Illowsky] Saylor.org

  • Population
  • Sample
  • Parameter
  • Statistic
  • Variable
  • Data EXERCISE 12 Airline companies are interested in the consistency of the number of babies on each flight, so that they have adequate safety equipment. Suppose an airline conducts a survey. Over Thanksgiving weekend, it surveys 6 flights from Boston to Salt Lake City to determine the number of babies on the flights. It determines the amount of safety equipment needed by the result of that study.
  1. Using complete sentences, list three things wrong with the way the survey was conducted.
  2. Using complete sentences, list three ways that you would improve the survey if it were to be repeated. EXERCISE 13 Suppose you want to determine the average number of students per statistics class in your state. Describe a possible sampling method in 3 – 5 complete sentences. Be detailed. EXERCISE 14 Suppose you want to determine the average number of cans of soda drunk each month by persons in their twenties. Describe a possible sampling method in 3 -­‐ 5 complete sentences. Be detailed. EXERCISE 15 726 distance learning student at Long Beach City College in the 2004-­‐2005 academic year were surveyed and asked the reasons they took a distance learning class. (Source: Amit Schitai, Director of Instructional Technology and Distance Learning, LBCC). The results of the survey are listed in the table below. Reasons for Taking LBCC Distance Learning Courses Convenience 87.6%

Source URL: http://cnx.org/content/m16010/latest/ Saylor URL: http://saylor.org/courses/bus Attributed to: [Susan Dean and Barbara Illowsky] Saylor.org

  1. Fix the errors on the table. Also, explain how someone might have arrived at the incorrect number(s).
  2. Explain what is wrong with this statement: “47 percent of the people surveyed have lived in the U.S. for 5 years.”
  3. Fix the statement above to make it correct.
  4. What fraction of the people surveyed have lived in the U.S. 5 or 7 years?
  5. What fraction of the people surveyed have lived in the U.S. at most 12 years?
  6. What fraction of the people surveyed have lived in the U.S. fewer than 12 years?
  7. What fraction of the people surveyed have lived in the U.S. from 5 to 20 years, inclusive? EXERCISE 17 A “random survey” was conducted of 3274 people of the “microprocessor generation” (people born since 1971, the year the microprocessor was invented). It was reported that 48% of those individuals surveyed stated that if they had $2000 to spend, they would use it for computer equipment. Also, 66% of those surveyed considered themselves relatively savvy computer users. (Source: San Jose Mercury News )
  8. Do you consider the sample size large enough for a study of this type? Why or why not?
  9. Based on your “gut feeling,” do you believe the percents accurately reflect the U.S. population for those individuals born since 1971? If not, do you think the percents of the population are actually higher or lower than the sample statistics? Why?

Source URL: http://cnx.org/content/m16010/latest/ Saylor URL: http://saylor.org/courses/bus Attributed to: [Susan Dean and Barbara Illowsky] Saylor.org Additional information: The survey was reported by Intel Corporation of individuals who visited the Los Angeles Convention Center to see the Smithsonian Institute’s road show called “America’s Smithsonian.”

  1. With this additional information, do you feel that all demographic and ethnic groups were equally represented at the event? Why or why not?
  2. With the additional information, comment on how accurately you think the sample statistics reflect the population parameters. EXERCISE 18
  3. List some practical difficulties involved in getting accurate results from a telephone survey.
  4. List some practical difficulties involved in getting accurate results from a mailed survey.
  5. With your classmates, brainstorm some ways to overcome these problems if you needed to conduct a phone or mail survey. Exercises 19 – 22 refer to the following: A Lake Tahoe Community College instructor is interested in the average number of days Lake Tahoe Community College math students are absent from class during a quarter. EXERCISE 19 What is the population she is interested in? A. All Lake Tahoe Community College students B. All Lake Tahoe Community College English students C. All Lake Tahoe Community College students in her classes D. All Lake Tahoe Community College math students EXERCISE 20 X = number of days a Lake Tahoe Community College math student is absent is an example of a A. Variable B. Population C. Statistic D. Data

Source URL: http://cnx.org/content/m16010/latest/ Saylor URL: http://saylor.org/courses/bus Attributed to: [Susan Dean and Barbara Illowsky] Saylor.org

EXERCISE 23

What is the relative frequency of direct hits were category 4 hurricanes? A. 0. B. 0. C. 0. D. Not enough information to calculate EXERCISE 24 What is the relative frequency of direct hits were AT MOST a category 3 storm? A. 0. B. 0. C. 0. D. 0. Questions 25 thru 27 refer to the following: A study was done to determine the age, number of times per week and the duration (amount of time) of resident use of a local park in San Jose. The first house in the neighborhood around the park was selected randomly and then every 8th^ house in the neighborhood around the park was interviewed. EXERCISE 25 Number of times per week is what type of data? A. qualitative B. quantitative – discrete C. quantitative -­‐ continuous EXERCISE 26 The sampling method was

Source URL: http://cnx.org/content/m16010/latest/ Saylor URL: http://saylor.org/courses/bus Attributed to: [Susan Dean and Barbara Illowsky] Saylor.org A. simple random B. systematic C. stratified D. cluster EXERCISE 27 Duration (amount of time) is what type of data? A. qualitative B. quantitative – discrete C. quantitative -­‐ continuous