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STATISTICS HELP PLEASE?
When a truckload of apples arrives at a packing plant, a random sample of 125 is selected and examined for bruises. The whole truckload will be rejected if more than 7% is damaged. Suppose 10% is damaged, what is the probability that the shipment will be accepted anyway?
1 Answer
- ?Lv 69 years agoFavorite Answer
This problem uses a Prop Z test with one sample
In this case P0 = 0.07
N = 125
For 10% damaged use X = 12.5 rounded up = 13
Plug in these values to a TI-83 calculator and get
Z = 1.48985 and p = 0.06813
This means there is about a 6.8% chance that a defective shipment at this 10% threshold will pass inspection.
Hope this is useful!
Source(s): http://cfcc.edu/faculty/cmoore/TI83ZTest.htm
