To decide on the number of service counters needed for stores to be built in the

Question

To decide on the number of service counters needed for stores to be built in the future, a supermarket chain wanted to obtain information on the length of time (in minutes) required to service customers. To find the distribution of customer service times, a sample of 1000 customers' service times was recorded. Sixty of these are shown here.

0.5 0.9 0.6 0.3 5.1 2.3 0.4 0.6 3.1 1.2 0.8 1.8 1.3 2.1 1.9 0.3 1.7 0.9 1.3 1.8 0.9 3.6 0.5 1.7 2.0 0.7 1.3 1.0 1.0 0.6 0.9 1.4 1.2 1.2 1.0 1.8 1.0 0.4 2.5 1.2 1.7 1.1 1.1 1.0 0.4 2.8 0.6 1.0 0.1 2.4 1.0 0.5 0.6 0.7 4.6 1.9 1.0 1.6 3.1 0.3

(a) Construct a stem and leaf plot for the data. (Enter numbers from smallest to largest separated by spaces. Enter NONE for stems with no values.)

(b) What fraction of the service times are less than or equal to 1 minute?


(c) What is the smallest of the 60 measurements? ?min

To declde on the number of service counters needed for stores to be bulit In the future, a supermarket chain wanted to obtain Information on the length of time (In minutes) required to service customers. To find the distribution of customer service times, a sample of 1000 customers service times was recorded. Sixty of th a shown here 0.5 0.9 0.6 0.3 5.1 2.3 0.4 0.6 3.1 1.2 0.8 1.8 1.3 2 1.9 0.3 1.7 0.9 1.3 1.8 0.9 3.6 0.5 17 2.0 07 1.3 1.0 1.0 0.6 0.9 14 1.2 12 1.0 1.8 1.0 .4 2.5 1.2 1.0 0.1 2.4 1.0 0.5 0.6 0.7 4. 1.9 1.0 1.6 3.1 0.3 (a) Construct a stem and leaf plot for the data. (Enter numbers from smallest to largt separated by spaces. Enter NONE for stems with no values) )What fraction of the service times are less than or equal to 1 minute? (c) What is the smallest of the 60 measurements?

Explanation / Answer

a) Steam and leaves Plot

b) Number of times service time less than or equal to 1 minute = 22 + 8 =30

Fraction of the service time less than or equal to 1 minute =30 /60 = 0.5000

c) since smallest service time = 0.1 minute

Smallest of the 60 measurement = 0.1 min.

steam Leaves Count 0 1 3 3 3 4 4 4 5 5 5 6 6 6 6 6 7 7 8 9 9 9 9 22 1 0 0 0 0 0 0 0 0 1 1 2 2 2 2 3 3 3 3 4 6 7 7 7 8 8 8 1 27 2 0 1 3 4 5 8 6 3 1 1 6 3 4 6 1 5 1 1

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