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Chapter 1: Q3. (page 49)
List and define the four elements of a descriptive statistics problem.
Sample size, variables required, numerical summary tools, and conclusions are the four elements of a descriptive statistics problem.
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Explain the difference between descriptive and inferential statistics.
Jamming attacks on wireless networks. Terrorists often use wireless networks to communicate. To disrupt these communications, the U.S. military uses jamming attacks on the wireless networks. The International Journal of Production Economics (Vol. 172, 2016) described a study of 80 such jamming attacks. The configuration of the wireless network attacked was determined in each case. Configuration consists of network type (WLAN, WSN, or AHN) and number of channels (single- or multi-channel).
a. Suppose the 80 jamming attacks represent all jamming attacks by the U.S. military over the past several years, and these attacks are the only attacks of interest to the researchers. Do the data associated with these 80 attacks represent a population or a sample? Explain.
b. The 80 jamming attacks actually represent a sample. Describe the population for which this sample is representative.
c. Identify the variable 鈥渘etwork type鈥� as quantitative or qualitative.
d. Identify the variable 鈥渘umber of channels鈥� as quantitative or qualitative.
e. Explain how to measure number of channels quantitatively?
Drafting NFL quarterbacks. The National Football League (NFL) is a lucrative business, generating an annual revenue of about $8 million. One key to becoming a financially successful NFL team is drafting a good quarterback (QB) out of college. The NFL draft allows the worst-performing teams in the previous year the opportunity of selecting the best quarterbacks coming out of college. The Journal of Productivity Analysis (Vol. 35, 2011) published a study of how successful NFL teams are in drafting productive quarterbacks. Data were collected for all 331 quarterbacks drafted between 1970 and 2007. Several variables were measured for each QB, including draft position (one of the top 10 players picked, selection between picks 11 and 50, or selected after pick 50), NFL winning ratio (percentage of games won), and QB production score (higher scores indicate more productive QBs). The researchers discovered that draft position is only weakly related to a quarterback鈥檚 performance in the NFL. They concluded that 鈥渜uarterbacks taken higher [in the draft] do not appear to perform any better.鈥�
a. What is the experimental unit for this study?
b. Identify the type (quantitative or qualitative) of each variable measured.
c. Suppose you want to use this study to project the performance of future NFL QBs. Is this an application of descriptive or inferential statistics? Explain.
College application data. Colleges and universities are requiring an increasing amount of information about applicants before making acceptance and financial aid decisions. Classify each of the following types of data required on a college application as quantitative or qualitative.
a. High school GPA
b. Honors, awards
c. Applicant's score on the SAT or ACT
d. Gender of applicant
e. Parents鈥� income
f. Age of applicant
Give an example of unethical statistical practice.
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