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.2 5 10 124 4 5 1711 8 9 812 21 6 87 13 18 3(a) Develop a frequency distribution using classes of 0-4, 5-9, 10-14, 15-19, and 20-24.Class Frequency0-4 5-9 10-14 15-19 20-24 Total (b) Develop a relative frequency distribution using the classes in part (a). If required, round your answers to two decimal places. Class Relative Frequency0-4 5-9 10-14 15-19 20-24 Total (c) Develop a cumulative frequency distribution using the classes in part (a).(c) Develop a cumulative frequency distribution using the classesClass Cumulative Frequency0-4 5-9 10-14 15-19 20-24 (d) Develop a cumulative relative frequency distribution using the classes in part (a). If required, round your answers to two decimal places. Class Cumulative Relative Frequency0-4 5-9 10-14 15-19 20-24 (e) What proportion of customers needing an oil change wait 9 minutes or less?%

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Step-by-step explanation:

Waiting times collected over a one month period:

2 5 10 12 4 4 5 17 11 8 9 8 12 21 6 8 7 13 18 3

A)

Class(x) - - frequency(f)

0-4 - - - - - 4

5-9 - - - - - - 8

10-14 - - - - - 5

15-19 - - - - - 2

20-24 - - - - 1

B)

Class(x) - - frequency(f)- - relative frequency(rf)

0-4 - - - - - 4 - - - - - - - - - - 4/20 = 0.20

5-9 - - - - - - 8 - - - - - - - - - - 8/20 = 0.40

10-14 - - - - - 5 - - - - - - - - - - 5/20 = 0.25

15-19 - - - - - 2 - - - - - - - - - - 2/20 = 0.10

20-24 - - - - 1 - - - - - - - - - - - 1/20 = 0.05

C)

Class(x) - - frequency(f) - - cumulative frequency

0-4 - - - - - 4 - - - - - - - - - - - 4

5-9 - - - - - - 8 - - - - - - - - - - - 12

10-14 - - - - - 5 - - - - - - - - - - - 17

15-19 - - - - - 2 - - - - - - - - - - - 19

20-24 - - - - 1 - - - - - - - - - - - - 20

D)

Class(x) - - f - - cf - - - - rf - - - - - - crf

0-4 - - - - 4 - -- 4 - - - 0.20 - - - 0.20

5-9 - - - - - 8 - - 12 - - - 0.40 - - - 0.60

10-14 - - - 5 - - -17 - - - 0.25 - - - 0.85

15-19 - - - 2 - - - 19 - - - 0.10 - - - 0.95

20-24 - - 1 - - - 20 - - 0.05 - - - 1.00

crf - cumulative relative frequency

rf - relative frequency

cf - cumulative frequency

E) 0.6 (from the cumulative relative frequency column)

9 minutes or less :

Frequency = 12, total frequency = 20

12 / 20 = 0.6

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