Problem 211
The owner of an automobile repair shop studied the waiting times for customers who arrive at the shop for an oil change. The following data with waiting times in minutes were collected over a onemonth period.
10  11  5  20 
6  5  3  20 
10  11  9  15 
5  18  6  9 
2  22  22  7 
(a)  Develop a frequency distribution using classes of 04, 59, 1014, 1519, and 2024.  


(b)  Develop a relative frequency distribution using the classes in part (a). If required, round your answers to two decimal places.  


(c)  Develop a cumulative frequency distribution using the classes in part (a).  


(d)  Develop a cumulative relative frequency distribution using the classes in part (a). If required, round your answers to two decimal places.  


(e)  What proportion of customers needing an oil change who wait 9 minutes or less?  
% 
a) Frequency distribution class,
Class  Frequency 
04  2 
59  8 
1014  4 
1519  2 
2024  4 
Total  20 
b) Relative Frequency distribution class,
Class  Relative Frequency 
04  0.10 
59  0.40 
1014  0.20 
1519  0.10 
2024  0.20 
Total  1 
c) Cumulative Frequency distribution class,
Class  Cumulative Frequency 
04  2 
59  10 
1014  14 
1519  16 
2024  20 
d) Relative Cumulative Frequency,
Class  Relative Cumulative Frequency 
04  0.10 
59  0.50 
1014  0.70 
1519  0.80 
2024  1.00 
e)The proportion of customrs needing an oil change who wait 9 minutes or less is 0.50.
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