A grocery store produce manager is told by a wholesaler that the apples in a large shipment have a mean weight of 7 ounces and standard deviation of 1.8 ounces. The manager is going

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  1. A grocery store produce manager is told by a wholesaler that the apples in a large shipment have a mean weight of 7 ounces and standard deviation of 1.8 ounces. The manager is going to randomly select 36 apples and is willing to risk a 1.5% chance of returning the shipment , (a) assuming the wholesaler’s claim is true, what is the probability that the sample mean weight of 36 apples falls below the cutoff X bar ounces. Find X bar. (b) Find the probability that the sample mean weight (X bar) falls above 6.55 ounces. (c) The new manager decides to return the shipment if the sample mean weight is less than 6.4 ounces. Find the probability that the shipment of apples will be returned. Assume that the wholesaler’s claim is true.



 

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