The engines made by Ford for speedboats had an average power of 220 horsepower (HP) and standard deviation of 15 HP. A potential buyer intends to take a sample of forty engines and will not place an order if the sample mean is less than 215 HP. What is the probability that the buyer will not place an order?

Answer:0.3707Step-by-step explanation:The engines made by Ford for speedboats had an average power of 220 horsepower (HP) and standard deviation of 15 HP.[tex]\mu = 220[/tex][tex]\sigma = 15[/tex]A potential buyer will not place an order if the sample mean is less than 215 HP.We are supposed to find What is the probability that the buyer will not place an order?P(x<215)Formula : [tex]Z= \frac{x-\mu}{\sigma}[/tex]x= 215[tex]Z= \frac{215-220}{15}[/tex][tex]Z=-0.333[/tex]refer the z table for p value p value = 0.3707Hence the probability that the buyer will not place an order is 0.3707