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.