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The owner of an automobile repair shop studied the waiting times for customers w

ID: 3226063 • Letter: T

Question

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 one-month period. (a) Develop a frequency distribution using classes of 0-4, 5-9, 10-14, 15-19 and 20-24. (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?

Explanation / Answer

answer

cumulative

frequency

total 20 1

e) 0.25+0.65=0.9

class frequency relative frequency cumulative relative frequency

cumulative

frequency

0-4 5 5/20=0.25 0.25 5 5-9 8 8/20=0.4 0.25+0.4=0.65 5+8=13 10-14 4 4/50=0.2 0.65+0.2=0.85 13+4=17 15-19 1 1/20=0.05 0.85+0.05=0.9 17+1=18 20-24 2 2/20=0.1 0.9+0.1=1 18+2=20
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