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In: Statistics and Probability

Customer service delivery time: The Alhambra Restaurant in Ottawa, specializing in ethnic fast food, opened for...

  1. 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

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