A grower claims that only 13% of the strawberries he grows areunsatisfactory. Wh
ID: 2915261 • Letter: A
Question
A grower claims that only 13% of the strawberries he grows areunsatisfactory. When a truckload of his strawberries arrives at afarmers' market, one basket containing approximately 105strawberries is examined for bruised or rotten fruit. Are theconditions satisfied for use of the Normal model?
A.) Since the strawberries are in the samebasket, they may not be independent of each other, or be a randomsample. Growing or storage conditions could affect all thestrawberries in a basket. The success/failure condition issatisfied since np = 13.65 10 and nq =91.35 10.
B.) The conditions are satisfied since thepopulation distribution is Normal.
C.) Since the strawberries are in thesame basket, they may not be independent of each other, or be arandom sample. Growing or storage conditions could affect all thestrawberries in a basket. The success/failure condition is notsatisfied since only one basket is being examined.
D.) The 10% condition is satisfied since thestrawberries are a random sample, are independent of each other,and likely represent less than 10% of all the grower'sstrawberries. The success/failure condition is not satisfied sinceonly one basket is being examined.
E.) The 10% condition is satisfied since thestrawberries are a random sample, are independent of each other,and likely represent less than 10% of all the grower'sstrawberries. The success/failure condition is satisfied since np =13.65 10 and nq
Explanation / Answer
A Sincethe strawberries are in the same basket, they may not beindependent of each other, or be a random sample. Growing orstorage conditions could affect all the strawberries in a basket.The success/failure condition is satisfied since np = 13.65> 10 and nq = 91.35 > 10.
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