In: Statistics and Probability
            Customer service delivery time: The Alhambra Restaurant in
Ottawa, specializing in ethnic fast food, opened for...
                
            
- Customer service delivery time: The Alhambra Restaurant in
Ottawa, specializing in ethnic fast food, opened for business just
one year ago. It has been a hectic first year for the owner as it
often is for small business entrepreneurs in their first 12 months
of business. Although the year has been somewhat successful (with
the owner averaging $1000 net profit per month after all deductions
and expenses), the owner is unhappy with the length of time it has
been taking staff to provide customer service (service time at the
restaurant is measured from the time the customer enters the
restaurant to the moment the customer leaves the counter with their
completed food order). The design of all aspects of the restaurant
from kitchen layout to placement of service counters was supposed
to minimize the time required to serve customers. The restaurant
design team was convinced that the restaurant design would permit
the owner to achieve an average customer service delivery time of
approximately 7 minutes. Given the owner’s concern that the design
might not be meeting this objective, the design team commissioned a
consultant to conduct a small study examining customer service
delivery time. A sample of 20 restaurant customers was selected and
the customer service delivery time was recorded to the nearest
minute (see table below).   
              
 
| 
 5 
 | 
 6 
 | 
 7 
 | 
 10 
 | 
 6 
 | 
 4 
 | 
 7 
 | 
 6 
 | 
 8 
 | 
 5 
 | 
| 
 11 
 | 
 8 
 | 
 7 
 | 
 9 
 | 
 7 
 | 
 8 
 | 
 8 
 | 
 7 
 | 
 9 
 | 
 3 
 | 
(a) Does the empirical evidence suggest that it takes
significantly longer on average to service customers than the 7
minutes anticipated by the design team? Construct a 90% confidence
interval estimate of the average customer service delivery time at
the Alhambra? Interpret the meaning of this interval in plain,
non-technical language (no jargon). Ensure that your non-technical
interpretation of these results clearly, concisely, yet
comprehensively addresses the owner’s concerns.
(b)         Write a brief
business report communicating what your consulting team has
attempted to do to the head of the Alhambra design team. Remember
that the head of the design team does not understand statistical
jargon. (One of her staff members does understand statistics and
will be looking to ensure that you have conducted a good study,
that you have performed a valid analysis of your data, and that
your interpretation is appropriate for your study results.) Ensure
that your report is thorough, comprehensive, clear, yet concise.
Evaluation criteria: quality of writing, clarity, usefulness,
comprehensiveness, accuracy, completeness, etc. Attach your typed
business report to your assignment