Q13. A call centre manager believes that the distribution of staff on duty throughout the day is not appropriate for the distribution of calls throughout the day and so they propose a new shift pattern. The average call response time is measured during different periods throughout the day for both the old shift pattern and the new shift pattern. Use a suitable hypothesis test to determine whether the new shift pattern has decreased the average call response time to 5% significance. Interval Old shift pattern New shift pattern 00:00-04:00 15.0 sec 20.2 sec 04:00-08:00 21.2 sec 23.9 sec 08:00 - 12:00 48.3 sec 50.2 sec 12:00 - 16:00 189.2 sec 159.8 sec 16:00 - 20:00 175.8 sec 175.3 sec 20:00 - 00:00 134.7 sec 130.3 sec In your workings, state any assumptions you are making about the data.

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Q13. A call centre manager believes that the distribution of staff on duty throughout the
day is not appropriate for the distribution of calls throughout the day and so they
propose a new shift pattern.
The average call response time is measured during different periods throughout the day
for both the old shift pattern and the new shift pattern. Use a suitable hypothesis test
to determine whether the new shift pattern has decreased the average call response
time to 5% significance.
Old shift pattern New shift pattern
Interval
00:00 - 04:00
15.0 sec
20.2 sec
04:00-08:00
21.2 sec
23.9 sec
08:00 - 12:00
48.3 sec
50.2 sec
12:00 - 16:00
189.2 sec
159.8 sec
16:00 - 20:00
175.8 sec
175.3 sec
20:00 - 00:00
134.7 sec
130.3 sec
In your workings, state any assumptions you are making about the data.
Transcribed Image Text:Q13. A call centre manager believes that the distribution of staff on duty throughout the day is not appropriate for the distribution of calls throughout the day and so they propose a new shift pattern. The average call response time is measured during different periods throughout the day for both the old shift pattern and the new shift pattern. Use a suitable hypothesis test to determine whether the new shift pattern has decreased the average call response time to 5% significance. Old shift pattern New shift pattern Interval 00:00 - 04:00 15.0 sec 20.2 sec 04:00-08:00 21.2 sec 23.9 sec 08:00 - 12:00 48.3 sec 50.2 sec 12:00 - 16:00 189.2 sec 159.8 sec 16:00 - 20:00 175.8 sec 175.3 sec 20:00 - 00:00 134.7 sec 130.3 sec In your workings, state any assumptions you are making about the data.
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