Essentials of Statistics for Business and Economics
9th Edition
ISBN: 9780357118191
Author: David R. Anderson, Dennis J. Sweeney, Thomas A. Williams
Publisher: Cengage Learning US
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Textbook Question
Chapter 13, Problem 3CP
TOURISTOPIA TRAVEL
TourisTopia Travel (Triple T) is an online travel agency that specializes in trips to exotic locations around the world for groups of ten or more travelers. Triple T’s marketing manager has been working on a major revision of the homepage of Triple T’s website. The content for the homepage has been selected and the only remaining decisions involve the selection of the background color (white, green, or pink) and the type of font (Arial, Calibri, or Tahoma).
Triple T’s IT group has designed prototype homepages featuring every combination of these background colors and fonts, and it has implemented computer code that will randomly direct each Triple T website visitor to one of these prototype homepages. For three weeks, the prototype homepage to which each visitor was directed and the amount of time in seconds spent at Triple T’s website during each visit were recorded. Ten visitors to each of the prototype homepages were then selected randomly; the complete data set for these visitors is available in the DATAfile named TourisTopia.
Triple T wants to use these data to determine if the time spent by visitors to Triple T’s website differs by background color or font. It would also like to know if the time spent by visitors to the Triple T website differs by different combinations of background color and font.
Managerial Report
Prepare a managerial report that addresses the following issues.
- 1. Use
descriptive statistics to summarize the data from Triple T’s study. Based on descriptive statistics, what are your preliminary conclusions about whether the time spent by visitors to the Triple T website differs by background color or font? What are your preliminary conclusions about whether time spent by visitors to the Triple T website differs by different combinations of background color and font? - 2. Has Triple T used an observational study or a controlled experiment? Explain.
- 3. Use the data from Triple T’s study to test the hypothesis that the time spent by visitors to the Triple T website is equal for the three background colors. Include both factors and their interaction in the ANOVA model, and use α = .05.
- 4. Use the data from Triple T’s study to test the hypothesis that the time spent by visitors to the Triple T website is equal for the three fonts. Include both factors and their interaction in the ANOVA model, and use α = .05.
- 5. Use the data from Triple T’s study to test the hypothesis that time spent by visitors to the Triple T website is equal for the nine combinations of background color and font. Include both factors and their interaction in the ANOVA model, and use α = .05.
- 6. Do the results of your analysis of the data provide evidence that the time spent by visitors to the Triple T website differs by background color, font, or combination of background color and font? What is your recommendation?
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Chapter 13 Solutions
Essentials of Statistics for Business and Economics
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