In hamilton county, ohio the mean number of days needed to sell a home is 86 days (cincinnati multiple listing service, april, 2012). data for the sale of 40 homes in a nearby county showed a sample mean of 80 days with a sample standard deviation of 20 days. conduct a hypotheses test to determine whether the mean number of days until a home is sold is different than the hamilton county mean of 86 days in the nearby county. round your answer to four decimal places.
p-value= ?

This exercise illustrates that poor quality can affect schedules and costs. a manufacturing process has 130 customer orders to fill. each order requires one component part that is purchased from a supplier. however, typically, 3% of the components are identified as defective, and the components can be assumed to be independent. (a) if the manufacturer stocks 130 components, what is the probability that the 130 orders can be filled without reordering components? (b) if the manufacturer stocks 132 components, what is the probability that the 130 orders can be filled without reordering components? (c) if the manufacturer stocks 135 components, what is the probability that the 130 orders can be filled without reordering components?