Four different types of cellular service are available in a small town: T-Mobile, Verizon, AT&T, and Cricket. Explain why the type of cellular service is an example of a categorical variable. Choose the correct answer below.
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A categorical variable is a type of variable that can take on one of a limited, fixed number of possible values, representing different categories or groups. Show more…
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Answer true or false. If false, give the reason. {AT&T, Verizon} ⊂ {Verizon, Sprint, T-Mobile, AT&T}
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Cell Phone Companies Customer Satisfaction. Consumer Reports provided overall customer satisfaction scores for AT\&T, Sprint, T-Mobile, and Verizon cell phone services in major metropolitan areas throughout the United States. The rating for each service reflects the overall customer satisfaction considering a variety of factors such as cost, connectivity problems, dropped calls, static interference, and customer support. A satisfaction scale from 0 to 100 was used with 0 indicating completely dissatisfied and 100 indicating completely satisfied. The ratings for the four cell phone services in 20 metropolitan areas are as shown. $$ \begin{array}{lcccc} \text { Metropolitan Area } & \text { AT\&T } & \text { Sprint } & \text { T-Mobile } & \text { Verizon } \\ \text { Atlanta } & 70 & 66 & 71 & 79 \\ \text { Boston } & 69 & 64 & 74 & 76 \\ \text { Chicago } & 71 & 65 & 70 & 77 \\ \text { Dallas } & 75 & 65 & 74 & 78 \\ \text { Denver } & 71 & 67 & 73 & 77 \\ \text { Detroit } & 73 & 65 & 77 & 79 \\ \text { Jacksonville } & 73 & 64 & 75 & 81 \\ \text { Las Vegas } & 72 & 68 & 74 & 81 \\ \text { Los Angeles } & 66 & 65 & 68 & 78 \\ \text { Miami } & 68 & 69 & 73 & 80 \\ \text { Minneapolis } & 68 & 66 & 75 & 77 \\ \text { Philadelphia } & 72 & 66 & 71 & 78 \\ \text { Phoenix } & 68 & 66 & 76 & 81 \\ \text { San Antonio } & 75 & 65 & 75 & 80 \\ \text { San Diego } & 69 & 68 & 72 & 79 \\ \text { San Francisco } & 66 & 69 & 73 & 75 \\ \text { Seattle } & 68 & 67 & 74 & 77 \\ \text { St. Louis } & 74 & 66 & 74 & 79 \\ \text { Tampa } & 73 & 63 & 73 & 79 \\ \text { Washington } & 68 & 71 & 76 \end{array} $$ a. Consider T-Mobile first. What is the median rating? b. Develop a five-number summary for the T-Mobile service. c. Are there outliers for T-Mobile? Explain. d. Repeat parts (b) and (c) for the other three cell phone services. e. Show the boxplots for the four cell phone services on one graph. Discuss what a comparison of the boxplots tells about the four services. Which service did Consumer Reports recommend as being best in terms of overall customer satisfaction?
What is an example of a categorical variable?
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