Question

In: Statistics and Probability

A magazine provided overall customer satisfaction scores for AT&T, Sprint, T-Mobile, and Verizon cell-phone services in...

A magazine 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  indicating 0 completely dissatisfied and 100 indicating completely satisfied. The ratings for the four cell-phone services in 20 metropolitan areas are as shown.

Metropolitan Area AT&T Sprint T-Mobile Verizon
Atlanta 70 63 77 80
Boston 69 61 80 77
Chicago 71 62 76 78
Dallas 75 62 80 79
Denver 71 64 79 78
Detroit 73 62 83 80
Jacksonville 73 61 81 82
Las Vegas 72 65 80 82
Los Angeles 66 62 74 79
Miami 68 66 79 81
Minneapolis 68 63 81 78
Philadelphia 72 63 77 79
Phoenix 68 63 82 82
San Antonio 75 62 81 81
San Diego 69 65 78 80
San Francisco 66 66 79 76
Seattle 68 64 80 78
St. Louis 74 63 80 80
Tampa 73 60 79 80
Washington 72 65 77 77

a. Consider T-Mobile first. What is the median rating (to 1 decimal)?

b. Develop a five-number summary for the T-Mobile service.

Smallest value
First quartile (to 2 decimals)
Median (to 1 decimal)
Third quartile (to 2 decimals)
Largest value

c. Are there outliers for T-Mobile? Explain.

All ratings are between     and   .

- Select your answer -Yes, the data contain outliersNo, the data do not contain outliersItem 9

d. Repeat parts (b) and (c) for the other three cell-phone services.

AT&T Sprint Verizon
Smallest value
First quartile (to 2 decimals)
Median (to 1 decimal)
Third quartile (to 2 decimals)
Largest value

Are there outliers for AT&T? Explain.

Limits for AT&T(to 1 decimal)     and  

- Select your answer -Yes, the data contain outliersNo, the data do not contain outliersItem 27

Are there outliers for Sprint? Explain.

Limits for Sprint(to 2 decimals)     and  

- Select your answer -Yes, the data contain outliersNo, the data do not contain outliersItem 30

Are there outliers for Verizon? Explain.

Limits for Verizon(to 2 decimals)     and  

- Select your answer -Yes, the data contain outliersNo, the data do not contain outliersItem 33

e. Which of the following box plots accurately displays the data set?

#1 #2
#3 #4

- Select your answer -Box plot #1Box plot #2Box plot #3Box plot #4Item 34

Which service did the magazine recommend as being best in terms of overall customer satisfaction?

- Select your answer -AT&TSprintT-MobileVerizonItem 35

Discuss what a comparison of the box plots tells about the four services.

- Select your answer -AT&T’sSprint’sT-Mobile’sVerizon’sItem 36  lowest rating is better than the highest - Select your answer -AT&T and SprintAT&T and VerizonSprint and VerizonT-Mobile and VerizonItem 37  ratings and is better than of the - Select your answer -AT&TSprintT-MobileVerizonItem 38 ratings. - Select your answer -AT&TSprintT-MobileVerizonItem 39  shows the lowest customer satisfaction ratings among the four services.

Solutions

Expert Solution

Note : Answer the first four question.

Five number summary AT&T  


Five number summary Sprint  


Five number summary T-Mobile  


Five number summary Verizon



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