A supermarket selected a sample of 160 of its customers and measured how long th

Question

A supermarket selected a sample of 160 of its customers and measured how long they took to be served at the checkout counter. If too many customers wait too long, the supermarket intends to hire more checkout personnel. Specifically, the supermarket would like at least 87% of its customers to be checked out in 8.7 minutes or less. From the data, the 90th and 60th percentiles were computed to be 8.9 minutes and 7.2 minutes, respectively. The range of the data was 13 minutes and the fastest anyone was checked out was 1.1 minutes.

Step 5 of 5: What percentage of the customers were checked out between 7.2and 8.9 minutes?

Explanation / Answer

Solution:

From the question, we can observe that the 90th percentiles were 8.9 minutes and 60th percentiles were 7.2 minutes. Therefore, the percentage between 7.2 and 8.9 is 90% - 60% = 30%.

The percentage of the customers were checked out between 7.2 and 8.9 minutes is 30%.

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