A traveler wanted to know if the prices of hotels are different in the ten cities that he visits the most often. The list of the cities with the corresponding hotel prices for his two favorite hotel chains is in the table below. Test at the 1% level of significance. (Use Hilton prices − Hyatt prices for the difference.) Cities Hyatt Regency prices in dollars Hilton prices in dollars Atlanta 108 169 Boston 357 287 Chicago 208 298 Dallas 209 198 Denver 167 169 Indianapolis 179 214 Los Angeles 179 169 New York City 625 459 Philadelphia 179 159 Washington, DC 245 239   a. State the distribution to use for the test. (Enter your answer in the form z or tdf where df is the degrees of freedom.) b. What is the test statistic? (If using the z distribution round your answer to two decimal places, and if using the t distribution round your answer to three decimal places.) c. What is the p-value? (Round your answer to four decimal places.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 26PFA
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A traveler wanted to know if the prices of hotels are different in the ten cities that he visits the most often. The list of the cities with the corresponding hotel prices for his two favorite hotel chains is in the table below. Test at the 1% level of significance. (Use Hilton prices − Hyatt prices for the difference.)

Cities Hyatt Regency prices in dollars Hilton prices in dollars
Atlanta 108 169
Boston 357 287
Chicago 208 298
Dallas 209 198
Denver 167 169
Indianapolis 179 214
Los Angeles 179 169
New York City 625 459
Philadelphia 179 159
Washington, DC 245 239

 

a. State the distribution to use for the test. (Enter your answer in the form z or tdf where df is the degrees of freedom.)

b. What is the test statistic? (If using the z distribution round your answer to two decimal places, and if using the t distribution round your answer to three decimal places.)

c. What is the p-value? (Round your answer to four decimal places.)

 

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