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A business travel magazine wants to classify transatlantic gateway airports according to the mean rating for the population of business travellers. A rating scale with a low score of 0 and a high score of 10 will be used, and airports with a population mean rating greater than 7 will be designated as superior service airports. The magazine staff surveyed a sample of 15 business travellers and ratings data are found as follows: 6, 7, 8, 6.5, 8.5, 7, 7.5, 9, 8.2, 6, 8.8, 7.2, 7.6, 9.5, 8.4 a) State the appropriate hypotheses to test whether the airport should be designated as a superior service airport. [2 marks] b) Determine the mean and standard deviation of the sample of travellers' ratings. [3 marks] c) Test the hypotheses stated in part (a) at a 5% level of significance, and comment on your findings. [5 marks]

A business travel magazine wants to classify transatlantic gateway airports according to the mean rating for the population of business travellers. A rating scale with a low score of 0 and a high score of 10 will be used, and airports with a population mean rating greater than 7 will be designated as superior service airports. The magazine staff surveyed a sample of 15 business travellers and ratings data are found as follows: 6, 7, 8, 6.5, 8.5, 7, 7.5, 9, 8.2, 6, 8.8, 7.2, 7.6, 9.5, 8.4 a) State the appropriate hypotheses to test whether the airport should be designated as a superior service airport. [2 marks] b) Determine the mean and standard deviation of the sample of travellers' ratings. [3 marks] c) Test the hypotheses stated in part (a) at a 5% level of significance, and comment on your findings. [5 marks]

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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This is a problem from statistical hypothesis testing. 

A business travel magazine wants to classify transatlantic gateway airports according to the mean rating for the population of business travellers. A rating scale with a low score of 0 and a high score of 10 will be used, and airports with a population mean rating greater than 7 will be designated as superior service airports. The magazine staff surveyed a sample of 15 business travellers and ratings data are found as follows: 6, 7, 8, 6.5, 8.5, 7, 7.5, 9, 8.2, 6, 8.8, 7.2, 7.6, 9.5, 8.4 a) State the appropriate hypotheses to test whether the airport should be designated as a superior service airport. [2 marks] b) Determine the mean and standard deviation of the sample of travellers' ratings. [3 marks] c) Test the hypotheses stated in part (a) at a 5% level of significance, and comment on your findings. [5 marks]
Transcribed Image Text:A business travel magazine wants to classify transatlantic gateway airports according to the mean rating for the population of business travellers. A rating scale with a low score of 0 and a high score of 10 will be used, and airports with a population mean rating greater than 7 will be designated as superior service airports. The magazine staff surveyed a sample of 15 business travellers and ratings data are found as follows: 6, 7, 8, 6.5, 8.5, 7, 7.5, 9, 8.2, 6, 8.8, 7.2, 7.6, 9.5, 8.4 a) State the appropriate hypotheses to test whether the airport should be designated as a superior service airport. [2 marks] b) Determine the mean and standard deviation of the sample of travellers' ratings. [3 marks] c) Test the hypotheses stated in part (a) at a 5% level of significance, and comment on your findings. [5 marks]
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