The management of a large fast food chain evaluates the supplier of their deep-frozen beef patties. The supplier delivers frozen beef patties that according to the specifications have to weigh between 94.5 grams and 95.5 grams. All other beef patties are rejected. A random sample of 30 patties that were inspected over the course of the last week revealed that the average weight was 95.0 grams. The standard deviation was 0.25 grams. What is the capability score of the supplier

Question

Joanna Melton

Mathematics

4 October, 01:27

The management of a large fast food chain evaluates the supplier of their deep-frozen beef patties. The supplier delivers frozen beef patties that according to the specifications have to weigh between 94.5 grams and 95.5 grams. All other beef patties are rejected. A random sample of 30 patties that were inspected over the course of the last week revealed that the average weight was 95.0 grams. The standard deviation was 0.25 grams. What is the capability score of the supplier

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Answers (1)

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Melody Buck · Answer 1

The capability score of the supplier is 0.6667

Step-by-step explanation:

to calculate the capacity of the supplier we will use the following formula

= (USL-LSL) / 6 * Est. Dev

we replace with the data

= (95.5-94.5) / (6 * 0.25)

we make the corresponding calculation

= 1 / 1.5

we get the following result

= 0.6667