Question

6. (10 pts) In the nuclear industry, detailed records are transported, or used. Each shipment of plutonium pellets received is carefully analyzed to check that the purity and hence the total quantity is as the supplier claims. A particular shipment is analyzed with the following results: 99.93, 99.87, 99.91 and 99.86 %. The listed purity as received from the supplier is 99.95%. Is the shipment acceptable? [Support your answer with an appropriate statistical analysis.] kept of the quantity of plutonium received, S

Answer 1

Plutonium is a radioactive element hence decays.

So, a portion of material while transport can be decayed.

Average of received samples=99.89 and standard deviation=0.029

Error=(99.95-99.89)/99.95×100=0.06%

The difference is very less and the shipment is acceptable.