The Ministry of Health and Long-Term Care in Ontario, Canada publishes information on the time that patients must wait for various medical procedures on its website.† For two cardiac procedures completed in fall of 2005 the following information was provided. Procedure Number of Completed Procedures Median Wait Time(days) Mean Wait Time(days) 90% Completed Within(days) Angioplasty 849 14 18 39 Bypass Surgery 533 13 19 44 (a) Which of the following must be true for the lower quartile of the data set consisting of the 849 wait times for angioplasty? The lower quartile is between 14 and 18.The lower quartile is between 14 and 39.     The lower quartile is greater than 39.The lower quartile is less than 14. (b) Which of the following must be true for the upper quartile of the data set consisting of the 533 wait times for bypass surgery? The upper quartile is between 13 and 44.The upper quartile is greater than 44.     The upper quartile is less than 13.The upper quartile is between 13 and 19. (c) Which of the following must be true for the 95th percentile of the data set consisting of the 533 wait times for bypass surgery? The 95th percentile is between 13 and 44.The 95th percentile is less than 13.     The 95th percentile is between 13 and 19.The 95th percentile is greater than 44.

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The Ministry of Health and Long-Term Care in Ontario, Canada publishes information on the time that patients must wait for various medical procedures on its website.† For two cardiac procedures completed in fall of 2005 the following information was provided.

Procedure Number of Completed Procedures Median Wait Time(days) Mean Wait Time(days) 90% Completed Within(days)
Angioplasty 849 14 18 39
Bypass Surgery 533 13 19 44
(a)
Which of the following must be true for the lower quartile of the data set consisting of the 849 wait times for angioplasty?
The lower quartile is between 14 and 18.The lower quartile is between 14 and 39.     The lower quartile is greater than 39.The lower quartile is less than 14.
(b)
Which of the following must be true for the upper quartile of the data set consisting of the 533 wait times for bypass surgery?
The upper quartile is between 13 and 44.The upper quartile is greater than 44.     The upper quartile is less than 13.The upper quartile is between 13 and 19.
(c)
Which of the following must be true for the 95th percentile of the data set consisting of the 533 wait times for bypass surgery?
The 95th percentile is between 13 and 44.The 95th percentile is less than 13.     The 95th percentile is between 13 and 19.The 95th percentile is greater than 44.

 

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