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Using binomial approximation to normal finding the normal model.
A grower claims that only 13% of the strawberries he grows are unsatisfactory. When a truckload of his strawberries arrives at a farmers' market, one basket containing approximately 105 strawberries is examined for bruised or rotten fruit. Are the conditions satisfied for use of the Normal model?• Since the strawberries are in the same basket, they may not be independent of each other, or be random sample. Growing or storage 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.• The conditions are satisfied since the population distribution is Normal.• Since the strawberries are in the same basket, they may not be independent of each other, or be a random sample. Growing or storage conditions could affect all the strawberries in a basket. The success/failure condition is not satisfied since only one basket is being examined.• The 10% condition is satisfied since the strawberries are a random sample, are independent of each other, and likely represent less than 10% of all the grower's strawberries. The success/failure condition is not satisfied since only one basket is being examined.• The 10% condition is satisfied is satisfied since the strawberries are a random sample, are independent of each other, and likely represent less than 10% of all the grower's strawberries. The success/failure condition is satisfied since np = 13.65 10 and nq = 91.35 10.
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