A certain retail store bases its staffing on the number of customers that arrive during certain time slots. Based on prior experience this store expects 32% of its customers between 8:00 am and 12:00 pm; 21% of its customers between 12:00 pm and 4:00 pm; 35% of its customers between 4:00 pm and 8:00 pm; and 12% of its customers between 8:00 pm and midnight. On a certain day, the store had 214, 198, 276, and 134 customers in those time slots, respectively. Should the store change its staffing? What was wrong with this solution?

Based on the data gathered on that certain day, I would say NO, the store does not need to change its staffing. The data shows that the percentages calculated by the store are extremely close to the actual percentage of people that arrived at those given hours throughout the day. The problem with this solution is that it does not take into account special circumstances, such as specific days, events, holidays, new popular items, etc. All of these can drastically affect the number of people that enter the store at a given time.

Anthougogo Anthougogo · Answer 2

1. The retail store should not change its staffing arrangement.

2. Changing the staffing arrangement may not favor the retail store.

Data and Calculations:

8:00 am & 12:00 pm & 4:00 pm & 8:00 pm &

12:00 pm 4:00 pm 8:00 pm midnight

Expected % of customers 32% 21% 35% 12%

Actual number of customers 214 198 276 134

Total Number of customers = 822 (214 + 198 + 276 + 134)

Actual % of customers 26% 24% 34% 16%

Difference between expected percentage of

customers and actual 6% 3% 1% -4%

Variation 0.36% 0.09% 0.01% 0.16%

Sum of variation = 0.62%

Standard Deviation = 0.787

Thus, based on the standard deviation, the store should not change its staffing.

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